Table of contents 目次

2×10104-3

c99

name 名前Robert Backstrom
date 日付May 14, 2007 18:27:01 UTC 2007 年 5 月 15 日 (火) 3 時 27 分 1 秒 (日本時間)
composite number 合成数
502976362625838398724451944380873820834789869050103990362972892088936280439500745662457592805426109<99>
prime factors 素因数
81143272388834334896650363044075567399043782163<47>
6198620635061424030493749864953890386771151005333743<52>
factorization results 素因数分解の結果
Number: n
N=502976362625838398724451944380873820834789869050103990362972892088936280439500745662457592805426109
  ( 99 digits)
SNFS difficulty: 105 digits.
Divisors found:
 r1=81143272388834334896650363044075567399043782163 (pp47)
 r2=6198620635061424030493749864953890386771151005333743 (pp52)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 0.86 hours.
Scaled time: 1.25 units (timescale=1.449).
Factorization parameters were as follows:
name: KA_1_9_103_7
n: 502976362625838398724451944380873820834789869050103990362972892088936280439500745662457592805426109
skew: 1.72
deg: 5
c5: 1
c0: -15
m: 1000000000000000000000
type: snfs
rlim: 1500000
alim: 1500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 200001)
Primes: RFBsize:114155, AFBsize:114187, largePrimes:4382413 encountered
Relations: rels:4136356, finalFF:487915
Max relations in full relation-set: 28
Initial matrix: 228406 x 487915 with sparse part having weight 13647573.
Pruned matrix : 114742 x 115948 with weight 3325133.
Total sieving time: 0.71 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.05 hours.
Total square root time: 0.04 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,105,5,0,0,0,0,0,0,0,0,1500000,1500000,28,28,48,48,2.5,2.5,20000
total time: 0.86 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

2×10106-3

c94

name 名前Robert Backstrom
date 日付May 14, 2007 20:08:43 UTC 2007 年 5 月 15 日 (火) 5 時 8 分 43 秒 (日本時間)
composite number 合成数
8751732788893266688487625777268063114486632739211302698544914987497525049574361686915585756517<94>
prime factors 素因数
5159197730271147217349752990276548876845323<43>
1696335989904637732334935062814384104990952215712079<52>
factorization results 素因数分解の結果
Number: n
N=8751732788893266688487625777268063114486632739211302698544914987497525049574361686915585756517
  ( 94 digits)
SNFS difficulty: 106 digits.
Divisors found:
 r1=5159197730271147217349752990276548876845323 (pp43)
 r2=1696335989904637732334935062814384104990952215712079 (pp52)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 1.03 hours.
Scaled time: 1.49 units (timescale=1.449).
Factorization parameters were as follows:
name: KA_1_9_105_7
n: 8751732788893266688487625777268063114486632739211302698544914987497525049574361686915585756517
skew: 0.68
deg: 5
c5: 20
c0: -3
m: 1000000000000000000000
type: snfs
rlim: 1500000
alim: 1500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 200001)
Primes: RFBsize:114155, AFBsize:113992, largePrimes:4623427 encountered
Relations: rels:4344731, finalFF:480702
Max relations in full relation-set: 28
Initial matrix: 228213 x 480702 with sparse part having weight 15679088.
Pruned matrix : 114549 x 115754 with weight 4184415.
Total sieving time: 0.87 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.07 hours.
Total square root time: 0.01 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,106,5,0,0,0,0,0,0,0,0,1500000,1500000,28,28,48,48,2.5,2.5,50000
total time: 1.03 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

2×10108-3

c90

name 名前Jo Yeong Uk
date 日付May 15, 2007 10:28:22 UTC 2007 年 5 月 15 日 (火) 19 時 28 分 22 秒 (日本時間)
composite number 合成数
156934498334296931342888700420223926738874127226828735072542912178143222401314959597796961<90>
prime factors 素因数
9795426399848232136433658361416964220351<40>
16021201316639818235833142024355288672757596038111<50>
factorization results 素因数分解の結果
Number: 19997_108
N=156934498334296931342888700420223926738874127226828735072542912178143222401314959597796961
  ( 90 digits)
SNFS difficulty: 110 digits.
Divisors found:
 r1=9795426399848232136433658361416964220351 (pp40)
 r2=16021201316639818235833142024355288672757596038111 (pp50)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.51 hours.
Scaled time: 0.46 units (timescale=0.909).
Factorization parameters were as follows:
n: 156934498334296931342888700420223926738874127226828735072542912178143222401314959597796961
m: 10000000000000000000000
c5: 1
c0: -150
skew: 2.72
type: snfs
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [250000, 325001)
Primes: RFBsize:41538, AFBsize:41357, largePrimes:1146010 encountered
Relations: rels:1115866, finalFF:136839
Max relations in full relation-set: 28
Initial matrix: 82959 x 136839 with sparse part having weight 5203852.
Pruned matrix : 58367 x 58845 with weight 1641515.
Total sieving time: 0.48 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,110,5,0,0,0,0,0,0,0,0,500000,500000,25,25,44,44,2.2,2.2,25000
total time: 0.51 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676)
Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133)
Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148)
Total of 4 processors activated (19246.21 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

2×10114-3

c111

name 名前Jo Yeong Uk
date 日付May 15, 2007 11:11:40 UTC 2007 年 5 月 15 日 (火) 20 時 11 分 40 秒 (日本時間)
composite number 合成数
498877525567473185333000748316288351209777999501122474432526814666999251683711648790222000498877525567473185333<111>
prime factors 素因数
66720394280058370841709380872145894939733576500903<50>
7477136952660057610131641830487159799848955980602003638351811<61>
factorization results 素因数分解の結果
Number: 19997_114
N=498877525567473185333000748316288351209777999501122474432526814666999251683711648790222000498877525567473185333
  ( 111 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=66720394280058370841709380872145894939733576500903 (pp50)
 r2=7477136952660057610131641830487159799848955980602003638351811 (pp61)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.65 hours.
Scaled time: 0.60 units (timescale=0.929).
Factorization parameters were as follows:
n: 498877525567473185333000748316288351209777999501122474432526814666999251683711648790222000498877525567473185333
m: 100000000000000000000000
c5: 1
c0: -15
skew: 1.72
type: snfs
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [250000, 375001)
Primes: RFBsize:41538, AFBsize:41382, largePrimes:1141363 encountered
Relations: rels:1093722, finalFF:121200
Max relations in full relation-set: 28
Initial matrix: 82984 x 121200 with sparse part having weight 5257052.
Pruned matrix : 66846 x 67324 with weight 2100764.
Total sieving time: 0.62 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,115,5,0,0,0,0,0,0,0,0,500000,500000,25,25,44,44,2.2,2.2,25000
total time: 0.65 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676)
Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133)
Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148)
Total of 4 processors activated (19246.21 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

2×10118-3

c110

name 名前Jo Yeong Uk
date 日付May 15, 2007 12:27:12 UTC 2007 年 5 月 15 日 (火) 21 時 27 分 12 秒 (日本時間)
composite number 合成数
12693985850175186430016911327810157663880441074803615518059787935833747232907048068371437696826716606008698583<110>
prime factors 素因数
22950984299621533137884728246439<32>
553091130404568883549143340580413178416536717655739844547962308344784263446097<78>
factorization results 素因数分解の結果
Number: 19997_118
N=12693985850175186430016911327810157663880441074803615518059787935833747232907048068371437696826716606008698583
  ( 110 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=22950984299621533137884728246439 (pp32)
 r2=553091130404568883549143340580413178416536717655739844547962308344784263446097 (pp78)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 1.06 hours.
Scaled time: 0.98 units (timescale=0.927).
Factorization parameters were as follows:
n: 12693985850175186430016911327810157663880441074803615518059787935833747232907048068371437696826716606008698583
m: 1000000000000000000000000
c5: 1
c0: -150
skew: 2.72
type: snfs
Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [350000, 490001)
Primes: RFBsize:56543, AFBsize:56408, largePrimes:2190525 encountered
Relations: rels:2411404, finalFF:354493
Max relations in full relation-set: 28
Initial matrix: 113015 x 354493 with sparse part having weight 29047533.
Pruned matrix : 69719 x 70348 with weight 4777254.
Total sieving time: 1.00 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,120,5,0,0,0,0,0,0,0,0,700000,700000,25,25,46,46,2.4,2.4,35000
total time: 1.06 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676)
Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133)
Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148)
Total of 4 processors activated (19246.21 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

2×10122-3

c116

name 名前Jo Yeong Uk
date 日付May 15, 2007 13:58:56 UTC 2007 年 5 月 15 日 (火) 22 時 58 分 56 秒 (日本時間)
composite number 合成数
20313954193455270551906774388857227334172367354703680858028922804841099679659099346307111031706121274915953553768853<116>
prime factors 素因数
171991496996710309484092016279706178541733683213<48>
118110223750443992209744996157769492200408400398154132891719193722281<69>
factorization results 素因数分解の結果
Number: 19997_122
N=20313954193455270551906774388857227334172367354703680858028922804841099679659099346307111031706121274915953553768853
  ( 116 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=171991496996710309484092016279706178541733683213 (pp48)
 r2=118110223750443992209744996157769492200408400398154132891719193722281 (pp69)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 1.36 hours.
Scaled time: 1.27 units (timescale=0.929).
Factorization parameters were as follows:
n: 20313954193455270551906774388857227334172367354703680858028922804841099679659099346307111031706121274915953553768853
m: 2000000000000000000000000
c5: 25
c0: -12
skew: 1
type: snfs
Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [350000, 560001)
Primes: RFBsize:56543, AFBsize:56628, largePrimes:2122377 encountered
Relations: rels:2193156, finalFF:202049
Max relations in full relation-set: 28
Initial matrix: 113235 x 202049 with sparse part having weight 18248550.
Pruned matrix : 93995 x 94625 with weight 5931908.
Total sieving time: 1.29 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,122,5,0,0,0,0,0,0,0,0,700000,700000,25,25,46,46,2.4,2.4,35000
total time: 1.36 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676)
Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133)
Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148)
Total of 4 processors activated (19246.21 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

2×10124-3

c114

name 名前Jo Yeong Uk
date 日付May 15, 2007 15:37:27 UTC 2007 年 5 月 16 日 (水) 0 時 37 分 27 秒 (日本時間)
composite number 合成数
634177542056498147727386792391213558521105928315688960325495387938387321694086180962789993154640998992817840816729<114>
prime factors 素因数
9336975976397637344374611852234644275771<40>
67921085334223439767801410472062272050391919676586092874931678368742117499<74>
factorization results 素因数分解の結果
Number: 19997_124
N=634177542056498147727386792391213558521105928315688960325495387938387321694086180962789993154640998992817840816729
  ( 114 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=9336975976397637344374611852234644275771 (pp40)
 r2=67921085334223439767801410472062272050391919676586092874931678368742117499 (pp74)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 1.37 hours.
Scaled time: 1.28 units (timescale=0.933).
Factorization parameters were as follows:
n: 634177542056498147727386792391213558521105928315688960325495387938387321694086180962789993154640998992817840816729
m: 10000000000000000000000000
c5: 1
c0: -15
skew: 1.72
type: snfs
Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [350000, 560001)
Primes: RFBsize:56543, AFBsize:56578, largePrimes:2126235 encountered
Relations: rels:2218039, finalFF:221963
Max relations in full relation-set: 28
Initial matrix: 113185 x 221963 with sparse part having weight 20278707.
Pruned matrix : 90696 x 91325 with weight 5816729.
Total sieving time: 1.30 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,125,5,0,0,0,0,0,0,0,0,700000,700000,25,25,46,46,2.4,2.4,35000
total time: 1.37 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676)
Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133)
Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148)
Total of 4 processors activated (19246.21 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

2×10125-3

c107

name 名前Jo Yeong Uk
date 日付May 15, 2007 21:03:44 UTC 2007 年 5 月 16 日 (水) 6 時 3 分 44 秒 (日本時間)
composite number 合成数
78395421725029230328818426014800087569324238426422046695751860537037254334678996299996708647592753825499027<107>
prime factors 素因数
70950032524214449038440162186879<32>
1104938488904480115616998648501886905041655534575552950019302930656654642413<76>
factorization results 素因数分解の結果
Number: 19997_125
N=78395421725029230328818426014800087569324238426422046695751860537037254334678996299996708647592753825499027
  ( 107 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=70950032524214449038440162186879 (pp32)
 r2=1104938488904480115616998648501886905041655534575552950019302930656654642413 (pp76)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 1.41 hours.
Scaled time: 1.31 units (timescale=0.929).
Factorization parameters were as follows:
n: 78395421725029230328818426014800087569324238426422046695751860537037254334678996299996708647592753825499027
m: 10000000000000000000000000
c5: 2
c0: -3
skew: 1.08
type: snfs
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [500000, 750001)
Primes: RFBsize:78498, AFBsize:78591, largePrimes:1530358 encountered
Relations: rels:1610360, finalFF:249014
Max relations in full relation-set: 28
Initial matrix: 157154 x 249014 with sparse part having weight 10838770.
Pruned matrix : 105018 x 105867 with weight 4177813.
Total sieving time: 1.36 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,125,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,44,44,2.2,2.2,50000
total time: 1.41 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676)
Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133)
Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148)
Total of 4 processors activated (19246.21 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

2×10132-3

c108

name 名前Jo Yeong Uk
date 日付May 15, 2007 21:05:22 UTC 2007 年 5 月 16 日 (水) 6 時 5 分 22 秒 (日本時間)
composite number 合成数
187733125505103299807786248565954705912786141137724869511999365125813198339801086514367050241684111925629253<108>
prime factors 素因数
224921079033736342221790746096952105532091294451<48>
834662212681919642405556463667806222934803506974724243740903<60>
factorization results 素因数分解の結果
Number: 19997_132
N=187733125505103299807786248565954705912786141137724869511999365125813198339801086514367050241684111925629253
  ( 108 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=224921079033736342221790746096952105532091294451 (pp48)
 r2=834662212681919642405556463667806222934803506974724243740903 (pp60)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 3.24 hours.
Scaled time: 3.02 units (timescale=0.930).
Factorization parameters were as follows:
n: 187733125505103299807786248565954705912786141137724869511999365125813198339801086514367050241684111925629253
m: 200000000000000000000000000
c5: 25
c0: -12
skew: 1
type: snfs
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [500000, 1150001)
Primes: RFBsize:78498, AFBsize:78531, largePrimes:1574002 encountered
Relations: rels:1587278, finalFF:187947
Max relations in full relation-set: 28
Initial matrix: 157093 x 187947 with sparse part having weight 12103751.
Pruned matrix : 146454 x 147303 with weight 7639030.
Total sieving time: 3.14 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,132,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,44,44,2.2,2.2,50000
total time: 3.24 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676)
Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133)
Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148)
Total of 4 processors activated (19246.21 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

2×10133-3

c114

name 名前Robert Backstrom
date 日付May 15, 2007 22:38:56 UTC 2007 年 5 月 16 日 (水) 7 時 38 分 56 秒 (日本時間)
composite number 合成数
504573578000679980011194383314501795810950700707844710097611496380308437105732388873064306717211277180237947940579<114>
prime factors 素因数
5387015255111323942626049346281287077863<40>
93664776152606764401059753977917406656658975593547100495177002729005709733<74>
factorization results 素因数分解の結果
Number: n
N=504573578000679980011194383314501795810950700707844710097611496380308437105732388873064306717211277180237947940579
  ( 114 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=5387015255111323942626049346281287077863 (pp40)
 r2=93664776152606764401059753977917406656658975593547100495177002729005709733 (pp74)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 3.51 hours.
Scaled time: 5.09 units (timescale=1.448).
Factorization parameters were as follows:
name: KA_1_9_132_7
n: 504573578000679980011194383314501795810950700707844710097611496380308437105732388873064306717211277180237947940579
skew: 0.54
deg: 5
c5: 125
c0: -6
m: 200000000000000000000000000
type: snfs
rlim: 1500000
alim: 1500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 400001)
Primes: RFBsize:114155, AFBsize:113572, largePrimes:5040741 encountered
Relations: rels:4461042, finalFF:289507
Max relations in full relation-set: 28
Initial matrix: 227792 x 289507 with sparse part having weight 14730733.
Pruned matrix : 176541 x 177743 with weight 6872155.
Total sieving time: 3.03 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.36 hours.
Total square root time: 0.02 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,133,5,0,0,0,0,0,0,0,0,1500000,1500000,28,28,48,48,2.5,2.5,75000
total time: 3.51 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

2×10137-3

c118

name 名前Robert Backstrom
date 日付May 16, 2007 04:57:09 UTC 2007 年 5 月 16 日 (水) 13 時 57 分 9 秒 (日本時間)
composite number 合成数
4035816282671613171343262279759201422385931092225366246725375548600017972927485571480526777015219311635458678522796387<118>
prime factors 素因数
7000751848412477959806057766604418499857831431396426422451<58>
576483264949148720398224057113036271804100390023761971950737<60>
factorization results 素因数分解の結果
Number: n
N=4035816282671613171343262279759201422385931092225366246725375548600017972927485571480526777015219311635458678522796387
  ( 118 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=7000751848412477959806057766604418499857831431396426422451 (pp58)
 r2=576483264949148720398224057113036271804100390023761971950737 (pp60)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 5.31 hours.
Scaled time: 7.68 units (timescale=1.447).
Factorization parameters were as follows:
name: KA_1_9_136_7
n: 4035816282671613171343262279759201422385931092225366246725375548600017972927485571480526777015219311635458678522796387
skew: 0.43
deg: 5
c5: 200
c0: -3
m: 1000000000000000000000000000
type: snfs
rlim: 1500000
alim: 1500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 700001)
Primes: RFBsize:114155, AFBsize:114342, largePrimes:6384288 encountered
Relations: rels:5895003, finalFF:424935
Max relations in full relation-set: 28
Initial matrix: 228562 x 424935 with sparse part having weight 33701210.
Pruned matrix : 150857 x 152063 with weight 10360660.
Total sieving time: 4.55 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.44 hours.
Total square root time: 0.17 hours, sqrts: 6.
Prototype def-par.txt line would be:
snfs,137,5,0,0,0,0,0,0,0,0,1500000,1500000,28,28,48,48,2.5,2.5,75000
total time: 5.31 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

2×10138-3

c139

name 名前Jo Yeong Uk
date 日付May 15, 2007 08:24:29 UTC 2007 年 5 月 15 日 (火) 17 時 24 分 29 秒 (日本時間)
composite number 合成数
1999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<139>
prime factors 素因数
2792516776165070836944026656509845283656971<43>
716199815546524866079650590503056034131183398218468977769146136824078266907549975600350599517207<96>
factorization results 素因数分解の結果
Number: 19997_138
N=1999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997
  ( 139 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=2792516776165070836944026656509845283656971 (pp43)
 r2=716199815546524866079650590503056034131183398218468977769146136824078266907549975600350599517207 (pp96)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 8.55 hours.
Scaled time: 7.97 units (timescale=0.932).
Factorization parameters were as follows:
n: 1999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997
m: 10000000000000000000000000000
c5: 1
c0: -150
skew: 1
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [650000, 1200001)
Primes: RFBsize:100021, AFBsize:99568, largePrimes:1619547 encountered
Relations: rels:1694434, finalFF:263039
Max relations in full relation-set: 28
Initial matrix: 199653 x 263039 with sparse part having weight 10868421.
Pruned matrix : 161528 x 162590 with weight 6105713.
Total sieving time: 8.45 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,1300000,1300000,25,25,43,43,2.3,2.3,50000
total time: 8.55 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676)
Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133)
Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148)
Total of 4 processors activated (19246.21 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

2×10139-3

c134

name 名前Robert Backstrom
date 日付May 15, 2007 18:01:11 UTC 2007 年 5 月 16 日 (水) 3 時 1 分 11 秒 (日本時間)
composite number 合成数
13856662525834015196601792082164466113185376509769986330402418264744008552332110944754179342626073111908485058014381830035563124372553<134>
prime factors 素因数
41803841074986331004467759752042705661<38>
331468644256359068076837242793801952073119679096103445167011822018914725489819506339762119501373<96>
factorization results 素因数分解の結果
Number: n
N=13856662525834015196601792082164466113185376509769986330402418264744008552332110944754179342626073111908485058014381830035563124372553
  ( 134 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=41803841074986331004467759752042705661 (pp38)
 r2=331468644256359068076837242793801952073119679096103445167011822018914725489819506339762119501373 (pp96)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 4.88 hours.
Scaled time: 7.08 units (timescale=1.451).
Factorization parameters were as follows:
name: KA_1_9_138_7
n: 13856662525834015196601792082164466113185376509769986330402418264744008552332110944754179342626073111908485058014381830035563124372553
skew: 1.72
deg: 5
c5: 1
c0: -15
m: 10000000000000000000000000000
type: snfs
rlim: 2000000
alim: 2000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 600001)
Primes: RFBsize:148933, AFBsize:148925, largePrimes:5871911 encountered
Relations: rels:5357002, finalFF:416257
Max relations in full relation-set: 28
Initial matrix: 297922 x 416257 with sparse part having weight 22774580.
Pruned matrix : 197183 x 198736 with weight 9498448.
Total sieving time: 4.11 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.59 hours.
Total square root time: 0.06 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,2000000,2000000,28,28,48,48,2.5,2.5,75000
total time: 4.88 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

2×10143-3

c140

name 名前Robert Backstrom
date 日付May 15, 2007 07:10:12 UTC 2007 年 5 月 15 日 (火) 16 時 10 分 12 秒 (日本時間)
composite number 合成数
77851304009342156481121058777734527053328143246399377189567925262748151031529778123783573374854028804982483456597898014791747761775009731413<140>
prime factors 素因数
300364480242690431385063688008727003<36>
259189448587394079995709224242217573207735348894143323496982198581906017312796640460823662146191460771471<105>
factorization results 素因数分解の結果
Number: n
N=77851304009342156481121058777734527053328143246399377189567925262748151031529778123783573374854028804982483456597898014791747761775009731413
  ( 140 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=300364480242690431385063688008727003 (pp36)
 r2=259189448587394079995709224242217573207735348894143323496982198581906017312796640460823662146191460771471 (pp105)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 6.88 hours.
Scaled time: 9.96 units (timescale=1.448).
Factorization parameters were as follows:
name: KA_1_9_142_7
n: 77851304009342156481121058777734527053328143246399377189567925262748151031529778123783573374854028804982483456597898014791747761775009731413
skew: 0.54
deg: 5
c5: 125
c0: -6
m: 20000000000000000000000000000
type: snfs
rlim: 2500000
alim: 2500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 800001)
Primes: RFBsize:183072, AFBsize:182636, largePrimes:6536042 encountered
Relations: rels:6097591, finalFF:542478
Max relations in full relation-set: 28
Initial matrix: 365773 x 542478 with sparse part having weight 28309689.
Pruned matrix : 211117 x 213009 with weight 11522988.
Total sieving time: 5.77 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.85 hours.
Total square root time: 0.11 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,143,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,100000
total time: 6.88 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

2×10146-3

c111

name 名前Robert Backstrom
date 日付May 21, 2007 08:49:32 UTC 2007 年 5 月 21 日 (月) 17 時 49 分 32 秒 (日本時間)
composite number 合成数
424941792099091652796628671010700958506423837145816971878241180930695799833275848461352158847044391932985716517<111>
prime factors 素因数
4448748130740857754356733813222510745804262837<46>
95519408968726075748994090904376099816839216393188114257850974641<65>
factorization results 素因数分解の結果
Number: n
N=424941792099091652796628671010700958506423837145816971878241180930695799833275848461352158847044391932985716517
  ( 111 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=4448748130740857754356733813222510745804262837 (pp46)
 r2=95519408968726075748994090904376099816839216393188114257850974641 (pp65)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 11.06 hours.
Scaled time: 16.04 units (timescale=1.450).
Factorization parameters were as follows:
name: KA_1_9_145_7
n: 424941792099091652796628671010700958506423837145816971878241180930695799833275848461352158847044391932985716517
skew: 0.68
deg: 5
c5: 20
c0: -3
m: 100000000000000000000000000000
type: snfs
rlim: 2500000
alim: 2500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1300001)
Primes: RFBsize:183072, AFBsize:182801, largePrimes:6838353 encountered
Relations: rels:6284624, finalFF:453514
Max relations in full relation-set: 28
Initial matrix: 365939 x 453514 with sparse part having weight 30588863.
Pruned matrix : 295556 x 297449 with weight 17145080.
Total sieving time: 8.83 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 1.91 hours.
Total square root time: 0.16 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,100000
total time: 11.06 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

2×10147-3

c107

name 名前Robert Backstrom
date 日付May 21, 2007 21:39:03 UTC 2007 年 5 月 22 日 (火) 6 時 39 分 3 秒 (日本時間)
composite number 合成数
12085247709510427120634598202262732105264237067773714462472119550932718546531305768674719902899358701907707<107>
prime factors 素因数
19847917526656775016866295121378364453<38>
608892479187265731705994468981721335175199066679255978067665568322719<69>
factorization results 素因数分解の結果
Number: n
N=12085247709510427120634598202262732105264237067773714462472119550932718546531305768674719902899358701907707
  ( 107 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=19847917526656775016866295121378364453 (pp38)
 r2=608892479187265731705994468981721335175199066679255978067665568322719 (pp69)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 12.22 hours.
Scaled time: 17.76 units (timescale=1.454).
Factorization parameters were as follows:
name: KA_1_9_146_7
n: 12085247709510427120634598202262732105264237067773714462472119550932718546531305768674719902899358701907707
skew: 0.43
deg: 5
c5: 200
c0: -3
m: 100000000000000000000000000000
type: snfs
rlim: 2500000
alim: 2500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1400001)
Primes: RFBsize:183072, AFBsize:183041, largePrimes:6840115 encountered
Relations: rels:6269711, finalFF:436586
Max relations in full relation-set: 28
Initial matrix: 366178 x 436586 with sparse part having weight 29446300.
Pruned matrix : 310612 x 312506 with weight 17873574.
Total sieving time: 9.61 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 2.38 hours.
Total square root time: 0.05 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,100000
total time: 12.22 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

2×10151-3

c114

name 名前Robert Backstrom
date 日付May 22, 2007 22:02:43 UTC 2007 年 5 月 23 日 (水) 7 時 2 分 43 秒 (日本時間)
composite number 合成数
822996566812300756270915694973657445507528537129099442009025996149706730952409519399555793857628590326355578315591<114>
prime factors 素因数
232357967917576122963811199234684498812206335392391<51>
3541933914244940727356281485918685455317930382157304642870395201<64>
factorization results 素因数分解の結果
Number: n
N=822996566812300756270915694973657445507528537129099442009025996149706730952409519399555793857628590326355578315591
  ( 114 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=232357967917576122963811199234684498812206335392391 (pp51)
 r2=3541933914244940727356281485918685455317930382157304642870395201 (pp64)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 19.36 hours.
Scaled time: 28.14 units (timescale=1.454).
Factorization parameters were as follows:
name: KA_1_9_150_7
n: 822996566812300756270915694973657445507528537129099442009025996149706730952409519399555793857628590326355578315591
skew: 0.68
deg: 5
c5: 20
c0: -3
m: 1000000000000000000000000000000
type: snfs
rlim: 2500000
alim: 2500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 900001)
Primes: RFBsize:183072, AFBsize:182801, largePrimes:6608095 encountered
Relations: rels:6045586, finalFF:420551
Max relations in full relation-set: 28
Initial matrix: 365939 x 420551 with sparse part having weight 29835712.
Pruned matrix : 321725 x 323618 with weight 19335173.
Total sieving time: 16.77 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.32 hours.
Total square root time: 0.11 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,100000
total time: 19.36 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

2×10153-3

c123

name 名前Jo Yeong Uk
date 日付May 23, 2007 12:09:32 UTC 2007 年 5 月 23 日 (水) 21 時 9 分 32 秒 (日本時間)
composite number 合成数
241432395029142644418795685506626823600720952779925262840558341180193330344056600225360186277355101442030529906274731229391<123>
prime factors 素因数
18536972846671778888746448349596139528250921<44>
13024370107576147632519746158741250510023486439810098022457117528012765562134071<80>
factorization results 素因数分解の結果
Number: 19997_153
N=241432395029142644418795685506626823600720952779925262840558341180193330344056600225360186277355101442030529906274731229391
  ( 123 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=18536972846671778888746448349596139528250921 (pp44)
 r2=13024370107576147632519746158741250510023486439810098022457117528012765562134071 (pp80)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 15.54 hours.
Scaled time: 14.53 units (timescale=0.935).
Factorization parameters were as follows:
n: 241432395029142644418795685506626823600720952779925262840558341180193330344056600225360186277355101442030529906274731229391
m: 2000000000000000000000000000000
c5: 125
c0: -6
skew: 1
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2100001)
Primes: RFBsize:176302, AFBsize:175758, largePrimes:5489347 encountered
Relations: rels:5372513, finalFF:457707
Max relations in full relation-set: 28
Initial matrix: 352125 x 457707 with sparse part having weight 40251711.
Pruned matrix : 304309 x 306133 with weight 23581787.
Total sieving time: 14.88 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.54 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,153,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 15.54 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676)
Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133)
Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148)
Total of 4 processors activated (19246.21 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

2×10155-3

c114

name 名前Max Voznyy
date 日付May 29, 2007 09:42:44 UTC 2007 年 5 月 29 日 (火) 18 時 42 分 44 秒 (日本時間)
composite number 合成数
123505768100840596625987030865138293794962628917724309346543529336914398804253330201481289125453373065851731567631<114>
prime factors 素因数
1176075110392218874344361392155876226533549449<46>
105015204394259862679542119957655122688478278199700532417643933576919<69>
factorization results 素因数分解の結果
r1=1176075110392218874344361392155876226533549449 (pp46)
r2=105015204394259862679542119957655122688478278199700532417643933576919 (pp69)
software ソフトウェア
GGNFS-0.77.1-20060513-pentium4
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP, MinGW, msys

2×10157-3

c132

name 名前Robert Backstrom
date 日付May 25, 2007 04:25:19 UTC 2007 年 5 月 25 日 (金) 13 時 25 分 19 秒 (日本時間)
composite number 合成数
950455378847699300374424598634237722308057180347692882733859893445386580027802421982455311802165614024833261186121222088656230782253<132>
prime factors 素因数
496078180985187011253921599029146472448633<42>
1915938687245105985797755896058272648806048756431283226141003881366035015771171783110925141<91>
factorization results 素因数分解の結果
Number: n
N=950455378847699300374424598634237722308057180347692882733859893445386580027802421982455311802165614024833261186121222088656230782253
  ( 132 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=496078180985187011253921599029146472448633 (pp42)
 r2=1915938687245105985797755896058272648806048756431283226141003881366035015771171783110925141 (pp91)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 33.62 hours.
Scaled time: 48.78 units (timescale=1.451).
Factorization parameters were as follows:
name: KA_1_9_156_7
n: 950455378847699300374424598634237722308057180347692882733859893445386580027802421982455311802165614024833261186121222088656230782253
skew: 0.43
deg: 5
c5: 200
c0: -3
m: 10000000000000000000000000000000
type: snfs
rlim: 2500000
alim: 2500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1600001)
Primes: RFBsize:183072, AFBsize:183041, largePrimes:7276973 encountered
Relations: rels:6812530, finalFF:487659
Max relations in full relation-set: 28
Initial matrix: 366178 x 487659 with sparse part having weight 43287182.
Pruned matrix : 296199 x 298093 with weight 25524280.
Total sieving time: 30.36 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 3.00 hours.
Total square root time: 0.06 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,100000
total time: 33.62 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

2×10158-3

c127

name 名前Jo Yeong Uk
date 日付July 21, 2007 12:27:27 UTC 2007 年 7 月 21 日 (土) 21 時 27 分 27 秒 (日本時間)
composite number 合成数
3434689538847075156669170246694359027751302650612112051029535669072282263120505215768659729098715953969223080215754614814847743<127>
prime factors 素因数
765613002593259893435771444351052001550447832917<48>
4486195411014709158764439342476979691484480174887014872203008588690204116766979<79>
factorization results 素因数分解の結果
Number: 19997_158
N=3434689538847075156669170246694359027751302650612112051029535669072282263120505215768659729098715953969223080215754614814847743
  ( 127 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=765613002593259893435771444351052001550447832917 (pp48)
 r2=4486195411014709158764439342476979691484480174887014872203008588690204116766979 (pp79)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 24.75 hours.
Scaled time: 53.09 units (timescale=2.145).
Factorization parameters were as follows:
n: 3434689538847075156669170246694359027751302650612112051029535669072282263120505215768659729098715953969223080215754614814847743
m: 20000000000000000000000000000000
c5: 125
c0: -6
skew: 0.54
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3400001)
Primes: RFBsize:283146, AFBsize:282582, largePrimes:5753873 encountered
Relations: rels:5897488, finalFF:751668
Max relations in full relation-set: 28
Initial matrix: 565793 x 751668 with sparse part having weight 45568672.
Pruned matrix : 412610 x 415502 with weight 27462155.
Total sieving time: 23.64 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.98 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 24.75 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Total of 4 processors activated (19246.12 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

2×10159-3

c140

name 名前Robert Backstrom
date 日付May 20, 2007 20:19:19 UTC 2007 年 5 月 21 日 (月) 5 時 19 分 19 秒 (日本時間)
composite number 合成数
38030276619683218658414314715214644031792681245567543321908819741944435634470898723335504446772965016634924096504255821580686819719214228737<140>
prime factors 素因数
3896040234710280092225221728653869867<37>
5874207548035032880370430336726048734418437859121<49>
1661715856862486631625209578684315662965911900561608691<55>
factorization results 素因数分解の結果
GMP-ECM 5.0 [powered by GMP 4.1.2] [ECM]
Input number is 38030276619683218658414314715214644031792681245567543321908819741944435634470898723335504446772965016634924096504255821580686819719214228737 (140 digits)
Using B1=1035500, B2=882333471, polynomial Dickson(6), sigma=66633404
Step 1 took 18900ms
Step 2 took 13130ms
********** Factor found in step 2: 3896040234710280092225221728653869867
Found probable prime factor of 37 digits: 3896040234710280092225221728653869867
Composite cofactor 9761263829071121262365012249257222672340375008383646695682227981460573838578364015976442972225787220611 has 103 digits


Number: n
N=9761263829071121262365012249257222672340375008383646695682227981460573838578364015976442972225787220611
  ( 103 digits)
Divisors found:
 r1=5874207548035032880370430336726048734418437859121 (pp49)
 r2=1661715856862486631625209578684315662965911900561608691 (pp55)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 8.26 hours.
Scaled time: 11.92 units (timescale=1.443).
Factorization parameters were as follows:
name: KA_1_9_158_7
n: 9761263829071121262365012249257222672340375008383646695682227981460573838578364015976442972225787220611
skew: 17806.85
# norm 3.92e+14
c5: 24840
c4: 1198081196
c3: -24357592265018
c2: -210683013743336014
c1: 4490637563116177810311
c0: -6227635109584928607029385
# alpha -6.39
Y1: 15093872179
Y0: -52344334656327314746
# Murphy_E 2.17e-09
# M 5247268042512921953463320309399432360648469461756698860444742486375840947181248944205613969233916838496
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [100000, 1000001)
Primes: RFBsize:169511, AFBsize:168934, largePrimes:4068833 encountered
Relations: rels:4045535, finalFF:435835
Max relations in full relation-set: 28
Initial matrix: 338529 x 435835 with sparse part having weight 25375260.
Pruned matrix : 245530 x 247286 with weight 10481944.
Total sieving time: 7.28 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 0.75 hours.
Total square root time: 0.08 hours, sqrts: 1.
Prototype def-par.txt line would be:
gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 8.26 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

2×10160-3

c131

name 名前Jo Yeong Uk
date 日付November 1, 2007 23:30:09 UTC 2007 年 11 月 2 日 (金) 8 時 30 分 9 秒 (日本時間)
composite number 合成数
11010124718413221462280367876462346322453582439931705506709272261862462870251427913507922600641649990825847478334158897252623567869<131>
prime factors 素因数
1244702530203678363132386159041482385491409469399<49>
8845587159376599603050287573778844195307606321990000300773593282138846596884883531<82>
factorization results 素因数分解の結果
Number: 19997_160
N=11010124718413221462280367876462346322453582439931705506709272261862462870251427913507922600641649990825847478334158897252623567869
  ( 131 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=1244702530203678363132386159041482385491409469399 (pp49)
 r2=8845587159376599603050287573778844195307606321990000300773593282138846596884883531 (pp82)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 25.76 hours.
Scaled time: 54.81 units (timescale=2.128).
Factorization parameters were as follows:
n: 11010124718413221462280367876462346322453582439931705506709272261862462870251427913507922600641649990825847478334158897252623567869
m: 100000000000000000000000000000000
c5: 2
c0: -3
skew: 1.08
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3500001)
Primes: RFBsize:283146, AFBsize:283187, largePrimes:5679964 encountered
Relations: rels:5762216, finalFF:699117
Max relations in full relation-set: 28
Initial matrix: 566398 x 699117 with sparse part having weight 43937665.
Pruned matrix : 457329 x 460224 with weight 27759676.
Total sieving time: 24.56 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 1.07 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 25.76 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405122)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

2×10165-3

c145

name 名前Robert Backstrom
date 日付January 15, 2008 03:50:35 UTC 2008 年 1 月 15 日 (火) 12 時 50 分 35 秒 (日本時間)
composite number 合成数
2203509238366825706525812526599680526701910802200803073114340690666302293483820086875402887164912644433439868869938295310478545778407059899977047<145>
prime factors 素因数
1403781958927021896724841424949479359<37>
2551589809127749396488652666886417210600862321179209<52>
615183048749711493044799857844699363803138896771654939937<57>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM]
Input number is 2203509238366825706525812526599680526701910802200803073114340690666302293483820086875402887164912644433439868869938295310478545778407059899977047 (145 digits)
Using B1=1158000, B2=1426247560, polynomial Dickson(6), sigma=307207771
Step 1 took 12752ms
Step 2 took 5897ms
********** Factor found in step 2: 1403781958927021896724841424949479359
Found probable prime factor of 37 digits: 1403781958927021896724841424949479359
Composite cofactor 1569694797937903300551110733526778314018254369305286389639105161479391032809561453871065828543212923908169833 has 109 digits


Number: n
N=1569694797937903300551110733526778314018254369305286389639105161479391032809561453871065828543212923908169833
  ( 109 digits)
Divisors found:

Tue Jan 15 14:40:26 2008  prp52 factor: 2551589809127749396488652666886417210600862321179209
Tue Jan 15 14:40:26 2008  prp57 factor: 615183048749711493044799857844699363803138896771654939937
Tue Jan 15 14:40:26 2008  elapsed time 00:47:23 (Msieve 1.32)

Version: GGNFS-0.77.1-20050930-k8
Total time: 11.42 hours.
Scaled time: 9.56 units (timescale=0.837).
Factorization parameters were as follows:
name: KA_1_9_164_7
n: 1569694797937903300551110733526778314018254369305286389639105161479391032809561453871065828543212923908169833
skew: 8306.36
# norm 2.76e+14
c5: 66240
c4: -3742036824
c3: -9666955114689
c2: 233645416862500981
c1: 389670328960034369953
c0: -1807187513145699342603261
# alpha -5.10
Y1: 357931261909
Y0: -473088827202633755566
# Murphy_E 1.24e-09
# M 794377935712316731005078895413010160819638922615293091642026246376800976490609919453234209027858723238419702
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 2800001)
Primes: RFBsize:230209, AFBsize:230661, largePrimes:7168024 encountered
Relations: rels:6884920, finalFF:517695
Max relations in full relation-set: 28
Initial matrix: 460952 x 517695 with sparse part having weight 37788957.
Pruned matrix : 413293 x 415661 with weight 25450233.
Total sieving time: 11.25 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 11.42 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6045.69 BogoMIPS (lpj=3022848)
Total of 2 processors activated (12009.47 BogoMIPS).

2×10167-3

c141

name 名前Robert Backstrom
date 日付February 9, 2008 22:04:36 UTC 2008 年 2 月 10 日 (日) 7 時 4 分 36 秒 (日本時間)
composite number 合成数
368425181583729075054661841466814056230938894648221005080473079592659957588484134223977797250984191407671585695678752701412091729194256683177<141>
prime factors 素因数
1416288347210403639057173330195587867<37>
260134302671767920102022631505867541342722247157905131978577734973578865145671722044817281277952599937931<105>
factorization results 素因数分解の結果
GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 368425181583729075054661841466814056230938894648221005080473079592659957588484134223977797250984191407671585695678752701412091729194256683177 (141 digits)
Using B1=2542000, B2=3172139063, polynomial Dickson(6), sigma=3477227582
Step 1 took 36640ms
Step 2 took 21438ms
********** Factor found in step 2: 1416288347210403639057173330195587867
Found probable prime factor of 37 digits: 1416288347210403639057173330195587867
Probable prime cofactor 260134302671767920102022631505867541342722247157905131978577734973578865145671722044817281277952599937931 has 105 digits

2×10171-3

c153

name 名前suberi
date 日付June 29, 2008 13:56:11 UTC 2008 年 6 月 29 日 (日) 22 時 56 分 11 秒 (日本時間)
composite number 合成数
153943937781353108536756537324699851367617756522642950041274675994347000906411323427239445922131938694315897997353834148496170889890726793061473567573373<153>
prime factors 素因数
56976208855415157152685472638791<32>
1494197448543319671819667216019537347<37>
1808260737095189373997972911343245292873628525108905125242459880129553110340203951049<85>
factorization results 素因数分解の結果
Run 84 out of 400:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2750456873
Step 1 took 68329ms
Step 2 took 24757ms
********** Factor found in step 2: 56976208855415157152685472638791
Found probable prime factor of 32 digits: 56976208855415157152685472638791
Composite cofactor 2701898579668694525947436511877732384172518262028772318730134458336102332613252695903423946797208054379179962226415327003 has 121 digits

Run 292 out of 400:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3160208993
Step 1 took 48142ms
Step 2 took 18548ms
********** Factor found in step 2: 1494197448543319671819667216019537347
Found probable prime factor of 37 digits: 1494197448543319671819667216019537347
Probable prime cofactor 1808260737095189373997972911343245292873628525108905125242459880129553110340203951049 has 85 digits
software ソフトウェア
GMP-ECM 6.2.1
execution environment 実行環境
Sempron, Windows Vista

2×10172-3

c138

name 名前Sinkiti Sibata
date 日付February 13, 2010 11:39:28 UTC 2010 年 2 月 13 日 (土) 20 時 39 分 28 秒 (日本時間)
composite number 合成数
359801591086145602805821706247375266506307297671130929620628218204021960118114055049867142055393088726215346465144223757091842812534639291<138>
prime factors 素因数
2488278116031430102776096707299610662488043<43>
144598623750304627603800978611367204972835492142676576929116325082869033718437561821680337101937<96>
factorization results 素因数分解の結果
Number: 19997_172
N=359801591086145602805821706247375266506307297671130929620628218204021960118114055049867142055393088726215346465144223757091842812534639291
  ( 138 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=2488278116031430102776096707299610662488043 (pp43)
 r2=144598623750304627603800978611367204972835492142676576929116325082869033718437561821680337101937 (pp96)
Version: Msieve-1.40
Total time: 81.72 hours.
Scaled time: 237.06 units (timescale=2.901).
Factorization parameters were as follows:
name: 19997_172
n: 359801591086145602805821706247375266506307297671130929620628218204021960118114055049867142055393088726215346465144223757091842812534639291
m: 10000000000000000000000000000000000
deg: 5
c5: 200
c0: -3
skew: 0.43
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2600000, 5900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 971581 x 971829
Total sieving time: 79.42 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 2.06 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000
total time: 81.72 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMay 14, 2007 09:00:00 UTC 2007 年 5 月 14 日 (月) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiAugust 8, 2009 03:03:40 UTC 2009 年 8 月 8 日 (土) 12 時 3 分 40 秒 (日本時間)

2×10177-3

c157

name 名前suberi
date 日付May 16, 2007 03:58:25 UTC 2007 年 5 月 16 日 (水) 12 時 58 分 25 秒 (日本時間)
composite number 合成数
1780086024255834511785528806050820868162880530141247972482382949652032091348860373709205535930849612893512085611277442761021281021377901910723915952373886951<157>
prime factors 素因数
314129679887073807583524645188651<33>
composite cofactor 合成数の残り
5666723452861111419953301719983874645151689206796263127100108210064996380732130563446722510620008860655369666194925533653301<124>
factorization results 素因数分解の結果
Input number is 1780086024255834511785528806050820868162880530141247972482382949652032091348860373709205535930849612893512085611277442761021281021377901910723915952373886951 (157 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1809889519
Step 1 took 77968ms
Step 2 took 46797ms
********** Factor found in step 2: 314129679887073807583524645188651
Found probable prime factor of 33 digits: 314129679887073807583524645188651
Composite cofactor 5666723452861111419953301719983874645151689206796263127100108210064996380732130563446722510620008860655369666194925533653301 has 124 digits
software ソフトウェア
GMP-ECM 6.1.2
execution environment 実行環境
Pentium 4 2.26GHz, Windows XP

c124

name 名前Dmitry Domanov
date 日付May 16, 2009 20:04:59 UTC 2009 年 5 月 17 日 (日) 5 時 4 分 59 秒 (日本時間)
composite number 合成数
5666723452861111419953301719983874645151689206796263127100108210064996380732130563446722510620008860655369666194925533653301<124>
prime factors 素因数
129436443535881527128893364288064480493161761142268211249<57>
43779968748061432046513482796553162771143586000974553425324771322949<68>
factorization results 素因数分解の結果
Number: 1
N=5666723452861111419953301719983874645151689206796263127100108210064996380732130563446722510620008860655369666194925533653301
  ( 124 digits)
Divisors found:
r1=129436443535881527128893364288064480493161761142268211249 (pp57)
r2=43779968748061432046513482796553162771143586000974553425324771322949 (pp68)
Version: Msieve v. 1.41
Total time: 64.89 hours.
Scaled time: 129.00 units (timescale=1.988).
Factorization parameters were as follows:
n: 5666723452861111419953301719983874645151689206796263127100108210064996380732130563446722510620008860655369666194925533653301
Y0: -790479467134143134043274
Y1: 32457700167143
c0: -16608921037930062398718064421235
c1: 204502172404307051875471623
c2: -475301048895667076195
c3: -3826111044588199
c4: 6563015646
c5: 18360
skew: 335696.21
type: gnfs
# selected mechanically
rlim: 6600000
alim: 6600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [3300000, 6200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 853192 x 853440
Total sieving time: 63.48 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.94 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
gnfs,123,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,6600000,6600000,27,27,52,52,2.5,2.5,100000
total time: 64.89 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
Msieve v. 1.41

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMay 14, 2007 09:00:00 UTC 2007 年 5 月 14 日 (月) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336500Erik BrangerMarch 2, 2009 15:45:42 UTC 2009 年 3 月 3 日 (火) 0 時 45 分 42 秒 (日本時間)
1836Wataru SakaiApril 3, 2009 04:06:08 UTC 2009 年 4 月 3 日 (金) 13 時 6 分 8 秒 (日本時間)
4511e63962Wataru SakaiApril 26, 2009 04:23:57 UTC 2009 年 4 月 26 日 (日) 13 時 23 分 57 秒 (日本時間)
5043e638 / 6576Andreas TeteMay 6, 2009 23:34:32 UTC 2009 年 5 月 7 日 (木) 8 時 34 分 32 秒 (日本時間)

2×10178-3

c147

name 名前Warut Roonguthai
date 日付April 6, 2012 06:12:18 UTC 2012 年 4 月 6 日 (金) 15 時 12 分 18 秒 (日本時間)
composite number 合成数
471102099623677356870547589145734939744740388010571109109458543966504649089159552991614402558331952181630628043006725855151139635783414264769329301<147>
prime factors 素因数
11599818465140965879994476653062655563497677557<47>
198710711995103149990233169293141838129420782191<48>
204381963777669164792577925160889405410315156951866223<54>
factorization results 素因数分解の結果
N = 471102099623677356870547589145734939744740388010571109109458543966504649089159552991614402558331952181630628043006725855151139635783414264769329301 (147 digits)
SNFS difficulty: 179 digits.
Divisors found:
r1=11599818465140965879994476653062655563497677557 (pp47)
r2=198710711995103149990233169293141838129420782191 (pp48)
r3=204381963777669164792577925160889405410315156951866223 (pp54)
Version: Msieve v. 1.48
Total time: 32.30 hours.
Factorization parameters were as follows:
name: 2*10^178-3
n: 471102099623677356870547589145734939744740388010571109109458543966504649089159552991614402558331952181630628043006725855151139635783414264769329301
Y0: 200000000000000000000000000000000000
Y1: -1
c0: -6
c1: 0
c2: 0
c3: 0
c4: 0
c5: 125
skew: 0.54
type: snfs
Factor base limits: 6700000/6700000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20454264
Relations: 2327180 relations
Pruned matrix : 1335014 x 1335239
Polynomial selection time: 0.00 hours.
Total sieving time: 29.76 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 2.17 hours.
time per square root: 0.26 hours.
Prototype def-par.txt line would be: snfs,179,5,0,0,0,0,0,0,0,0,6700000,6700000,28,28,55,55,2.5,2.5,100000
total time: 32.30 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMay 14, 2007 09:00:00 UTC 2007 年 5 月 14 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6100Rich DickersonOctober 2, 2010 22:00:36 UTC 2010 年 10 月 3 日 (日) 7 時 0 分 36 秒 (日本時間)
403e6756260Rich DickersonOctober 3, 2010 04:32:32 UTC 2010 年 10 月 3 日 (日) 13 時 32 分 32 秒 (日本時間)
496Wataru SakaiDecember 11, 2011 08:20:20 UTC 2011 年 12 月 11 日 (日) 17 時 20 分 20 秒 (日本時間)
4511e6450 / 4307Rich DickersonOctober 3, 2010 15:04:06 UTC 2010 年 10 月 4 日 (月) 0 時 4 分 6 秒 (日本時間)

2×10179-3

c162

name 名前Ben Meekins
date 日付November 7, 2013 03:08:45 UTC 2013 年 11 月 7 日 (木) 12 時 8 分 45 秒 (日本時間)
composite number 合成数
455046553926964512105036094622354360817454845884983885513196835126109015968017485727090758919686051293496237807079087462451507308355934285854940252361425136245321<162>
prime factors 素因数
5888327336151621339092064391533621133226986428026063636851455387805005773<73>
77279425539607484572840555647164294919712911147901487533613444201950695923489405913069677<89>
factorization results 素因数分解の結果
Number: 19997_179
N = 455046553926964512105036094622354360817454845884983885513196835126109015968017485727090758919686051293496237807079087462451507308355934285854940252361425136245321 (162 digits)
SNFS difficulty: 180 digits.
Divisors found:
r1=5888327336151621339092064391533621133226986428026063636851455387805005773 (pp73)
r2=77279425539607484572840555647164294919712911147901487533613444201950695923489405913069677 (pp89)
Version: Msieve v. 1.52 (SVN 945M)
Total time: 47.91 hours.
Factorization parameters were as follows:
n: 455046553926964512105036094622354360817454845884983885513196835126109015968017485727090758919686051293496237807079087462451507308355934285854940252361425136245321
m: 1000000000000000000000000000000000000
deg: 5
c5: 1
c0: -15
skew: 1.72
# Murphy_E = 1.357e-10
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 200000
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 18416048
Relations: 2151458 relations
Pruned matrix : 1271312 x 1271537
Polynomial selection time: 0.00 hours.
Total sieving time: 45.40 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 2.01 hours.
time per square root: 0.36 hours.
Prototype def-par.txt line would be: snfs,180,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,53,53,2.5,2.5,200000
total time: 47.91 hours.
x86 Family 16 Model 4 Stepping 3, AuthenticAMD
Windows-XP-5.1.2600-SP3
processors: 4, speed: 3.20GHz
software ソフトウェア
MSieve 1.52 SVN 945

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMay 14, 2007 09:00:00 UTC 2007 年 5 月 14 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6100Rich DickersonOctober 2, 2010 22:01:43 UTC 2010 年 10 月 3 日 (日) 7 時 1 分 43 秒 (日本時間)
403e6635260Rich DickersonOctober 3, 2010 04:32:17 UTC 2010 年 10 月 3 日 (日) 13 時 32 分 17 秒 (日本時間)
375Wataru SakaiMarch 22, 2012 05:29:33 UTC 2012 年 3 月 22 日 (木) 14 時 29 分 33 秒 (日本時間)
4511e6485 / 4334Rich DickersonOctober 4, 2010 02:46:05 UTC 2010 年 10 月 4 日 (月) 11 時 46 分 5 秒 (日本時間)

2×10180-3

c145

name 名前suberi
date 日付September 10, 2007 07:59:03 UTC 2007 年 9 月 10 日 (月) 16 時 59 分 3 秒 (日本時間)
composite number 合成数
7407069044120835492998207693625097135254315476954038721169573279033888279230074415862344956840980787432938527143601213001054788162974713161223071<145>
prime factors 素因数
112032125257256292325042410655727<33>
composite cofactor 合成数の残り
66115580929239593359723808855458909629091457719484972084609617544199525101235044807799431332453896293536909365073<113>
factorization results 素因数分解の結果
Input number is 7407069044120835492998207693625097135254315476954038721169573279033888279230074415862344956840980787432938527143601213001054788162974713161223071 (145 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3566521925
Step 1 took 66144ms
Step 2 took 27613ms
********** Factor found in step 2: 112032125257256292325042410655727
Found probable prime factor of 33 digits: 112032125257256292325042410655727
Composite cofactor 66115580929239593359723808855458909629091457719484972084609617544199525101235044807799431332453896293536909365073 has 113 digits
software ソフトウェア
GMP-ECM 6.1.3
execution environment 実行環境
Sempron 3400+ 1.80GHz, Windows Vista

c113

name 名前Jo Yeong Uk
date 日付September 15, 2007 09:28:20 UTC 2007 年 9 月 15 日 (土) 18 時 28 分 20 秒 (日本時間)
composite number 合成数
66115580929239593359723808855458909629091457719484972084609617544199525101235044807799431332453896293536909365073<113>
prime factors 素因数
905172686450661562749851540460137766673<39>
73041953120006531682243304867114152425466458123310047541535943923877620801<74>
factorization results 素因数分解の結果
Number: 19997_180
N=66115580929239593359723808855458909629091457719484972084609617544199525101235044807799431332453896293536909365073
  ( 113 digits)
Divisors found:
 r1=905172686450661562749851540460137766673 (pp39)
 r2=73041953120006531682243304867114152425466458123310047541535943923877620801 (pp74)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 19.07 hours.
Scaled time: 40.84 units (timescale=2.142).
Factorization parameters were as follows:
name: 19997_180
n: 66115580929239593359723808855458909629091457719484972084609617544199525101235044807799431332453896293536909365073
skew: 50900.26
# norm 4.78e+15
c5: 35640
c4: 2092026780
c3: -257421258914871
c2: -3597313150952401664
c1: 336073469633725578681108
c0: 880253753751683250101584592
# alpha -6.29
Y1: 891128745329
Y0: -4504765787799004324305
# Murphy_E 6.77e-10
# M 31447131488392542736505992818019557460517464114991795498415980855609373894140662627343843911601067913431897504545
type: gnfs
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 70000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1400000, 2310001)
Primes: RFBsize:203362, AFBsize:203921, largePrimes:7460034 encountered
Relations: rels:7203107, finalFF:459537
Max relations in full relation-set: 28
Initial matrix: 407366 x 459537 with sparse part having weight 41639635.
Pruned matrix : 368891 x 370991 with weight 29954447.
Polynomial selection time: 1.04 hours.
Total sieving time: 17.05 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.71 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2800000,2800000,27,27,50,50,2.6,2.6,70000
total time: 19.07 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600

2×10183-3

c148

name 名前Markus Tervooren
date 日付April 30, 2014 10:18:12 UTC 2014 年 4 月 30 日 (水) 19 時 18 分 12 秒 (日本時間)
composite number 合成数
7064751842768502977659281894777172164219840072412649121313361502805200153508812975706062860389517603066341772805289776004432861208956005774618961337<148>
prime factors 素因数
949144353624325440376001410577375375978814883<45>
7443284907919028465924707807548173511764945050016169910818198185461325048000226757691114048862859652339<103>
factorization results 素因数分解の結果
Sieving took ~1 day with 8 threads on a quad core I7

Msieve v. 1.52 (SVN 956M)
Wed Apr 30 12:02:36 2014
random seeds: cd07d72d e7b89718
factoring 7064751842768502977659281894777172164219840072412649121313361502805200153508812975706062860389517603066341772805289776004432861208956005774618961337 (148 digits)
searching for 15-digit factors
commencing number field sieve (148-digit input)
R0: -1000000000000000000000000000000000000
R1: 1
A0: -3
A1: 0
A2: 0
A3: 0
A4: 0
A5: 2000
skew 0.27, size 1.039e-12, alpha -0.748, combined = 8.348e-11 rroots = 1

commencing relation filtering
estimated available RAM is 32004.3 MB
commencing duplicate removal, pass 1
error -11 reading relation 1448985
read 10M relations
error -9 reading relation 13072536
error -1 reading relation 14257200
error -9 reading relation 14820362
error -15 reading relation 15372257
error -15 reading relation 15914527
error -11 reading relation 16660569
found 3085592 hash collisions in 17394048 relations
added 505463 free relations
commencing duplicate removal, pass 2
found 3069152 duplicates and 14830359 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 376.5 MB
reading all ideals from disk
memory use: 440.7 MB
keeping 15017016 ideals with weight <= 200, target excess is 115927
commencing in-memory singleton removal
begin with 14830359 relations and 15017016 unique ideals
reduce to 4489661 relations and 3307454 ideals in 8 passes
max relations containing the same ideal: 78
removing 916396 relations and 516396 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 3573265 relations and 3307454 unique ideals
reduce to 3481648 relations and 2687847 ideals in 6 passes
max relations containing the same ideal: 65
removing 898660 relations and 498660 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 2582988 relations and 2687847 unique ideals
reduce to 2507276 relations and 2105651 ideals in 6 passes
max relations containing the same ideal: 52
removing 613663 relations and 346514 ideals in 267149 cliques
commencing in-memory singleton removal
begin with 1893613 relations and 2105651 unique ideals
reduce to 1833894 relations and 1694388 ideals in 7 passes
max relations containing the same ideal: 43
relations with 0 large ideals: 2864
relations with 1 large ideals: 2353
relations with 2 large ideals: 30053
relations with 3 large ideals: 145794
relations with 4 large ideals: 353544
relations with 5 large ideals: 497981
relations with 6 large ideals: 452906
relations with 7+ large ideals: 348399
commencing 2-way merge
reduce to 1369322 relation sets and 1229816 unique ideals
commencing full merge
memory use: 151.0 MB
found 720897 cycles, need 698016
weight of 698016 cycles is about 48938182 (70.11/cycle)
distribution of cycle lengths:
1 relations: 38795
2 relations: 72009
3 relations: 95490
4 relations: 97687
5 relations: 91957
6 relations: 78205
7 relations: 62404
8 relations: 48093
9 relations: 35745
10+ relations: 77631
heaviest cycle: 17 relations
commencing cycle optimization
start with 3818702 relations
pruned 163504 relations
memory use: 115.2 MB
distribution of cycle lengths:
1 relations: 38795
2 relations: 74292
3 relations: 100791
4 relations: 102923
5 relations: 97360
6 relations: 80985
7 relations: 63548
8 relations: 46784
9 relations: 33308
10+ relations: 59230
heaviest cycle: 17 relations
RelProcTime: 189

commencing linear algebra
read 698016 cycles
cycles contain 1762490 unique relations
read 1762490 relations
using 20 quadratic characters above 1073618142
building initial matrix
memory use: 238.5 MB
read 698016 cycles
matrix is 697833 x 698016 (206.0 MB) with weight 61834407 (88.59/col)
sparse part has weight 46322719 (66.36/col)
filtering completed in 2 passes
matrix is 697538 x 697721 (206.0 MB) with weight 61820404 (88.60/col)
sparse part has weight 46315287 (66.38/col)
matrix starts at (0, 0)
matrix is 697538 x 697721 (206.0 MB) with weight 61820404 (88.60/col)
sparse part has weight 46315287 (66.38/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 697490 x 697721 (196.0 MB) with weight 49120220 (70.40/col)
sparse part has weight 44398091 (63.63/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (4 threads)
memory use: 154.5 MB
linear algebra at 0.4%, ETA 0h 7m697721 dimensions (0.4%, ETA 0h 7m)    
linear algebra completed 697011 of 697721 dimensions (99.9%, ETA 0h 0m)    
lanczos halted after 11031 iterations (dim = 697487)
recovered 38 nontrivial dependencies
BLanczosTime: 497

commencing square root phase
reading relations for dependency 1
read 349614 cycles
cycles contain 882536 unique relations
read 882536 relations
multiplying 882536 relations
multiply complete, coefficients have about 29.18 million bits
initial square root is modulo 240019211
Newton iteration failed to converge
algebraic square root failed
reading relations for dependency 2
read 348786 cycles
cycles contain 881654 unique relations
read 881654 relations
multiplying 881654 relations
multiply complete, coefficients have about 29.15 million bits
initial square root is modulo 235400041
GCD is 1, no factor found
reading relations for dependency 3
read 348717 cycles
cycles contain 880514 unique relations
read 880514 relations
multiplying 880514 relations
multiply complete, coefficients have about 29.12 million bits
initial square root is modulo 229821601
GCD is 1, no factor found
reading relations for dependency 4
read 348482 cycles
cycles contain 880532 unique relations
read 880532 relations
multiplying 880532 relations
multiply complete, coefficients have about 29.12 million bits
initial square root is modulo 230118011
sqrtTime: 158
prp45 factor: 949144353624325440376001410577375375978814883
prp103 factor: 7443284907919028465924707807548173511764945050016169910818198185461325048000226757691114048862859652339
elapsed time 00:14:05
software ソフトウェア
ggnfs, msieve
execution environment 実行環境
I7 4770K, Ubuntu 12.04

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMay 14, 2007 09:00:00 UTC 2007 年 5 月 14 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6100Rich DickersonOctober 3, 2010 15:16:04 UTC 2010 年 10 月 4 日 (月) 0 時 16 分 4 秒 (日本時間)
403e61100300Rich DickersonOctober 3, 2010 17:35:05 UTC 2010 年 10 月 4 日 (月) 2 時 35 分 5 秒 (日本時間)
800Dmitry DomanovApril 27, 2012 20:39:37 UTC 2012 年 4 月 28 日 (土) 5 時 39 分 37 秒 (日本時間)
4511e62364 / 4231230Ignacio SantosOctober 2, 2013 14:46:15 UTC 2013 年 10 月 2 日 (水) 23 時 46 分 15 秒 (日本時間)
230Ignacio SantosOctober 12, 2013 18:03:45 UTC 2013 年 10 月 13 日 (日) 3 時 3 分 45 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:06:16 UTC 2013 年 11 月 9 日 (土) 2 時 6 分 16 秒 (日本時間)
1054Youcef LemsaferMarch 30, 2014 09:02:45 UTC 2014 年 3 月 30 日 (日) 18 時 2 分 45 秒 (日本時間)

2×10184-3

c167

name 名前suberi
date 日付May 16, 2007 12:39:20 UTC 2007 年 5 月 16 日 (水) 21 時 39 分 20 秒 (日本時間)
composite number 合成数
25035136271240386105346793719749891127416081109087696089877134896913985932583725587551829380751788269437388704372077043547341623423152468190380732887100280823247373761<167>
prime factors 素因数
89177151216694919128342839012937<32>
280734873559781758253348251445739908956056985830730029555749391702366572037148720479831472201011105110825184173089405824194320945511353<135>
factorization results 素因数分解の結果
Input number is 25035136271240386105346793719749891127416081109087696089877134896913985932583725587551829380751788269437388704372077043547341623423152468190380732887100280823247373761 (167 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3668427895
Step 1 took 95844ms
Step 2 took 52172ms
********** Factor found in step 2: 89177151216694919128342839012937
Found probable prime factor of 32 digits: 89177151216694919128342839012937
Probable prime cofactor 280734873559781758253348251445739908956056985830730029555749391702366572037148720479831472201011105110825184173089405824194320945511353 has 135 digits
software ソフトウェア
GMP-ECM 6.1.2
execution environment 実行環境
Pentium 4 2.26GHz, Windows XP

2×10185-3

c181

name 名前suberi
date 日付May 16, 2007 12:40:35 UTC 2007 年 5 月 16 日 (水) 21 時 40 分 35 秒 (日本時間)
composite number 合成数
2817973031998083778338241303030729995913939103602778521409550110605441505924788299775971143956152339622109816409056965324841841263579107547940766206867400278979330167810294055485889<181>
prime factors 素因数
1629098585915315381840811732409037<34>
composite cofactor 合成数の残り
1729774401844928654956193898363519632991312797796196776125859358920365912442809486382638218734874672877056576604898068320294799461787530626132748997<148>
factorization results 素因数分解の結果
Input number is 2817973031998083778338241303030729995913939103602778521409550110605441505924788299775971143956152339622109816409056965324841841263579107547940766206867400278979330167810294055485889 (181 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3484509631
Step 1 took 94671ms
Step 2 took 56094ms
********** Factor found in step 2: 1629098585915315381840811732409037
Found probable prime factor of 34 digits: 1629098585915315381840811732409037
Composite cofactor 1729774401844928654956193898363519632991312797796196776125859358920365912442809486382638218734874672877056576604898068320294799461787530626132748997 has 148 digits
software ソフトウェア
GMP-ECM 6.1.2
execution environment 実行環境
Pentium 4 2.26GHz, Windows XP

c148

name 名前Daniel Morel
date 日付July 15, 2014 13:52:18 UTC 2014 年 7 月 15 日 (火) 22 時 52 分 18 秒 (日本時間)
composite number 合成数
1729774401844928654956193898363519632991312797796196776125859358920365912442809486382638218734874672877056576604898068320294799461787530626132748997<148>
prime factors 素因数
139703661574531915433064323942224155484964759896391<51>
12381739908242089010679916203955564903195102834643116757540557250087725658757062968789736160958867<98>
factorization results 素因数分解の結果
m: 10^37
c5: 2
c0: -3
skew: 1.1
lpbr = lpba = 900000
lpbr = lpba = 27
mfbr = mfba = 48
rlambda = alambda = 2.5
qintsize: 100000

Relations found : 170756, 419697, 777621, 1242560, 1803069
Initial matrix : 1205114 x 1803069
Pruned matrix : 681641 x 687730
Total time : 36 days 9 hours or so (using severals computers)

Factors :
p51 = 139703661574531915433064323942224155484964759896391
p98 = 12381739908242089010679916203955564903195102834643116757540557250087725658757062968789736160958867
software ソフトウェア
GGNFS 0.77.1
execution environment 実行環境
Windows 7, CPU AMD Athlon 2.7 GHz and Intel I5 for matrix step

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMay 14, 2007 09:00:00 UTC 2007 年 5 月 14 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 11, 2010 19:15:46 UTC 2010 年 10 月 12 日 (火) 4 時 15 分 46 秒 (日本時間)
403e61210110Ignacio SantosOctober 11, 2010 19:15:46 UTC 2010 年 10 月 12 日 (火) 4 時 15 分 46 秒 (日本時間)
800Dmitry DomanovApril 27, 2012 20:39:54 UTC 2012 年 4 月 28 日 (土) 5 時 39 分 54 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:30 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 30 秒 (日本時間)
4511e61546 / 419832Ignacio SantosOctober 11, 2010 19:15:46 UTC 2010 年 10 月 12 日 (火) 4 時 15 分 46 秒 (日本時間)
230Ignacio SantosJanuary 31, 2014 22:53:05 UTC 2014 年 2 月 1 日 (土) 7 時 53 分 5 秒 (日本時間)
230Ignacio SantosFebruary 2, 2014 14:55:33 UTC 2014 年 2 月 2 日 (日) 23 時 55 分 33 秒 (日本時間)
1054Youcef LemsaferMarch 30, 2014 16:02:38 UTC 2014 年 3 月 31 日 (月) 1 時 2 分 38 秒 (日本時間)

2×10186-3

c186

name 名前matsui
date 日付April 29, 2008 02:27:40 UTC 2008 年 4 月 29 日 (火) 11 時 27 分 40 秒 (日本時間)
composite number 合成数
105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263<186>
prime factors 素因数
536702269647034089326974744111747439562722018687<48>
196129518818625224605331844109132005572907239230106882174824783188659356706656419547350123734666037979415918599396117880712943463613520849<138>
factorization results 素因数分解の結果
N=105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263
  ( 186 digits)

SNFS difficulty: 186 digits.

Divisors found:

 r1=536702269647034089326974744111747439562722018687 (pp48)

 r2=196129518818625224605331844109132005572907239230106882174824783188659356706656419547350123734666037979415918599396117880712943463613520849 (pp138)

Version: GGNFS-0.77.1-20060513-prescott

Total time: 867.04 hours.

Scaled time: 1474.84 units (timescale=1.701).

Factorization parameters were as follows:

n: 105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263
m: 10000000000000000000000000000000000000
c5: 20
c0: -3
skew: 0.68
type: snfs



Factor base limits: 7400000/7400000

Large primes per side: 3

Large prime bits: 27/27

Max factor residue bits: 48/48

Sieved algebraic special-q in [3700000, 15800001)

Primes: RFBsize:501962, AFBsize:502546, largePrimes:6966429 encountered

Relations: rels:7485469, finalFF:1145980

Max relations in full relation-set: 28

Initial matrix: 1004574 x 1145980 with sparse part having weight 110867418.

Pruned matrix : 897006 x 902092 with weight 92492864.

Total sieving time: 843.59 hours.

Total relation processing time: 0.23 hours.

Matrix solve time: 22.90 hours.

Time per square root: 0.32 hours.

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000

total time: 867.04 hours.

2×10187-3

c178

name 名前Robert Backstrom
date 日付February 5, 2012 01:36:01 UTC 2012 年 2 月 5 日 (日) 10 時 36 分 1 秒 (日本時間)
composite number 合成数
1887485920677451569385931886749143379544007181999442316048681549517248111959606739775420747416378434975475223959521590755572777950199669061827441903726249685975546308661154520293<178>
prime factors 素因数
30188495243559431954129076808724172422794849359392479901419669<62>
62523352205841974641767247686152369037786705686420794585068971430543609011985992247691266480187863785691927767719697<116>
factorization results 素因数分解の結果
Number: n
N=1887485920677451569385931886749143379544007181999442316048681549517248111959606739775420747416378434975475223959521590755572777950199669061827441903726249685975546308661154520293
  ( 178 digits)
SNFS difficulty: 187 digits.
Divisors found:

Sun Feb  5 12:31:43 2012  prp62 factor: 30188495243559431954129076808724172422794849359392479901419669
Sun Feb  5 12:31:43 2012  prp116 factor: 62523352205841974641767247686152369037786705686420794585068971430543609011985992247691266480187863785691927767719697
Sun Feb  5 12:31:43 2012  elapsed time 02:42:36 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.658).
Factorization parameters were as follows:
name: KA_19997_187
n: 1887485920677451569385931886749143379544007181999442316048681549517248111959606739775420747416378434975475223959521590755572777950199669061827441903726249685975546308661154520293
m: 10000000000000000000000000000000000000
#  c178, diff: 187.3
skew: 0.43
deg: 5
c5: 200
c0: -3
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, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7161811 hash collisions in 78476112 relations (73985314 unique)
Msieve: matrix is 1201487 x 1201735 (335.4 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
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
3025e4430Makoto KamadaMay 14, 2007 09:00:00 UTC 2007 年 5 月 14 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 11, 2010 20:53:27 UTC 2010 年 10 月 12 日 (火) 5 時 53 分 27 秒 (日本時間)
403e6110 / 2144Ignacio SantosOctober 11, 2010 20:53:27 UTC 2010 年 10 月 12 日 (火) 5 時 53 分 27 秒 (日本時間)
4511e632 / 4441Ignacio SantosOctober 11, 2010 20:53:27 UTC 2010 年 10 月 12 日 (火) 5 時 53 分 27 秒 (日本時間)

2×10189-3

c190

name 名前Jo Yeong Uk
date 日付May 15, 2007 08:19:03 UTC 2007 年 5 月 15 日 (火) 17 時 19 分 3 秒 (日本時間)
composite number 合成数
1999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<190>
prime factors 素因数
26515433818872756128486451063540368813<38>
composite cofactor 合成数の残り
75427768357931602931753276660580155235389614555331854484100658108640121572138298453489837951680283043601403057326275895068893330216499198205413743316369<152>
factorization results 素因数分解の結果
GMP-ECM 6.1.2 [powered by GMP 4.2.1] [ECM]
Input number is 1999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997 (190 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1799138545
Step 1 took 106653ms
Step 2 took 53427ms
********** Factor found in step 2: 26515433818872756128486451063540368813
Found probable prime factor of 38 digits: 26515433818872756128486451063540368813
Composite cofactor 75427768357931602931753276660580155235389614555331854484100658108640121572138298453489837951680283043601403057326275895068893330216499198205413743316369 has 152 digits
execution environment 実行環境
Pentium 4 2.4GHz

c152

name 名前suberi
date 日付September 12, 2007 12:06:24 UTC 2007 年 9 月 12 日 (水) 21 時 6 分 24 秒 (日本時間)
composite number 合成数
75427768357931602931753276660580155235389614555331854484100658108640121572138298453489837951680283043601403057326275895068893330216499198205413743316369<152>
prime factors 素因数
31618164809434211754592287712179187<35>
composite cofactor 合成数の残り
2385583376282025837302025573831625807718996619292106854661488654167073439506823897959332181406320971559780911666433387<118>
factorization results 素因数分解の結果
Input number is 75427768357931602931753276660580155235389614555331854484100658108640121572138298453489837951680283043601403057326275895068893330216499198205413743316369 (152 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2083112402
Step 1 took 65661ms
Step 2 took 28751ms
********** Factor found in step 2: 31618164809434211754592287712179187
Found probable prime factor of 35 digits: 31618164809434211754592287712179187
Composite cofactor 2385583376282025837302025573831625807718996619292106854661488654167073439506823897959332181406320971559780911666433387 has 118 digits
software ソフトウェア
GMP-ECM 6.1.3
execution environment 実行環境
Sempron 3400+ 1.80GHz, Windows Vista

c118

name 名前Sinkiti Sibata
date 日付September 22, 2007 07:41:31 UTC 2007 年 9 月 22 日 (土) 16 時 41 分 31 秒 (日本時間)
composite number 合成数
2385583376282025837302025573831625807718996619292106854661488654167073439506823897959332181406320971559780911666433387<118>
prime factors 素因数
484578537409999154675042390540664390207331844965054363441<57>
4923006679232260879844150105623901082760825132994000095977307<61>
factorization results 素因数分解の結果
Number: 19997_189
N=2385583376282025837302025573831625807718996619292106854661488654167073439506823897959332181406320971559780911666433387
  ( 118 digits)
Divisors found:
 r1=484578537409999154675042390540664390207331844965054363441 (pp57)
 r2=4923006679232260879844150105623901082760825132994000095977307 (pp61)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 89.74 hours.
Scaled time: 60.75 units (timescale=0.677).
Factorization parameters were as follows:
name: 19997_189
n: 2385583376282025837302025573831625807718996619292106854661488654167073439506823897959332181406320971559780911666433387
skew: 144660.76
# norm 2.74e+16
c5: 9120
c4: -1709436956
c3: -853334330700080
c2: 38221101292867669503
c1: 5419411001140512770228250
c0: -113915253989648848942977150816
# alpha -6.21
Y1: 86650737107
Y0: -48252518012964347678477
# Murphy_E 3.65e-10
# M 654987332633075895838719954518597211946085969700968706963931960289336573203282116904651285610709249461397952456672945
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2250000, 4110001)
Primes: RFBsize:315948, AFBsize:315530, largePrimes:7677981 encountered
Relations: rels:7786564, finalFF:780897
Max relations in full relation-set: 28
Initial matrix: 631557 x 780897 with sparse part having weight 63899163.
Pruned matrix : 505956 x 509177 with weight 39093412.
Total sieving time: 75.32 hours.
Total relation processing time: 0.76 hours.
Matrix solve time: 13.18 hours.
Time per square root: 0.48 hours.
Prototype def-par.txt line would be:
gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,60000
total time: 89.74 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

2×10191-3

c113

name 名前Sinkiti Sibata
date 日付May 18, 2007 10:55:04 UTC 2007 年 5 月 18 日 (金) 19 時 55 分 4 秒 (日本時間)
composite number 合成数
18725011712219814562530479034837840702529034807249997949068275863786847663649064207303543066082563170428265771787<113>
prime factors 素因数
49371617551587041843675930397116659530937545163<47>
379266725313477244975216442892897216971059794842475211319820147649<66>
factorization results 素因数分解の結果
Number: 19997_191
N=18725011712219814562530479034837840702529034807249997949068275863786847663649064207303543066082563170428265771787
  ( 113 digits)
Divisors found:
 r1=49371617551587041843675930397116659530937545163 (pp47)
 r2=379266725313477244975216442892897216971059794842475211319820147649 (pp66)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 56.52 hours.
Scaled time: 38.15 units (timescale=0.675).
Factorization parameters were as follows:
name: 19997_191
n: 18725011712219814562530479034837840702529034807249997949068275863786847663649064207303543066082563170428265771787
skew: 59546.05
# norm 6.66e+15
c5: 10560
c4: -2374857106
c3: -195238124648465
c2: 1713791335976812382
c1: 286960883326780791878154
c0: -869102931125208602582566965
# alpha -6.63
Y1: 1066141682921
Y0: -4464330115947638126804
# Murphy_E 7.39e-10
# M 15931944624871609380286614016751846664857168747787310376807033596899975510455931096032109076919995223638073753024
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2750001)
Primes: RFBsize:250150, AFBsize:249696, largePrimes:7656920 encountered
Relations: rels:7706870, finalFF:571600
Max relations in full relation-set: 0
Initial matrix: 499929 x 571600 with sparse part having weight 34433582.
Pruned matrix : 435540 x 438103 with weight 23881885.
Polynomial selection time: 2.15 hours.
Total sieving time: 46.66 hours.
Total relation processing time: 0.59 hours.
Matrix solve time: 6.79 hours.
Time per square root: 0.33 hours.
Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 56.52 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin

2×10193-3

c150

name 名前Daniel Morel
date 日付September 11, 2014 12:52:58 UTC 2014 年 9 月 11 日 (木) 21 時 52 分 58 秒 (日本時間)
composite number 合成数
319335249453774412030453768451900321122872125129744012335039633714538880913523513879850867231854992025457259100307287333054414635105522672220090535899<150>
prime factors 素因数
20109277369861359866129287899115275654274037323316659944356086841136043<71>
15879996261445769537267415871328221599257192124173107438617771634920532105397393<80>
factorization results 素因数分解の結果
type : snfs
poly : x^5 - 150, m = 10^39
skew = 4.5

rlim = alim = 13000000
lpbr = lpba = 28
mfbr = mfba = 48
rlambda = alambda = 2.5

initiale matrix : 1698714 x 2020317
pruned matrix : 1403518 x 1412075

factors found
p71 = 20109277369861359866129287899115275654274037323316659944356086841136043
p80 = 15879996261445769537267415871328221599257192124173107438617771634920532105397393

time : 35 d 17 h or so
software ソフトウェア
ggnfs-0.77.1
execution environment 実行環境
AMD Athlon II 2.76 GHz and Intel core I5 3.2 GHz for matrix step

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMay 14, 2007 09:00:00 UTC 2007 年 5 月 14 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 11, 2010 21:47:38 UTC 2010 年 10 月 12 日 (火) 6 時 47 分 38 秒 (日本時間)
403e62234110Ignacio SantosOctober 11, 2010 21:47:38 UTC 2010 年 10 月 12 日 (火) 6 時 47 分 38 秒 (日本時間)
800Dmitry DomanovApril 27, 2012 20:40:07 UTC 2012 年 4 月 28 日 (土) 5 時 40 分 7 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:31 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 31 秒 (日本時間)
1024Youcef LemsaferMarch 30, 2014 20:29:16 UTC 2014 年 3 月 31 日 (月) 5 時 29 分 16 秒 (日本時間)
4511e6382832Ignacio SantosOctober 11, 2010 21:47:38 UTC 2010 年 10 月 12 日 (火) 6 時 47 分 38 秒 (日本時間)
3796Youcef LemsaferApril 1, 2014 08:26:19 UTC 2014 年 4 月 1 日 (火) 17 時 26 分 19 秒 (日本時間)
5043e6256 / 6608Youcef LemsaferApril 1, 2014 15:03:53 UTC 2014 年 4 月 2 日 (水) 0 時 3 分 53 秒 (日本時間)

2×10195-3

c176

name 名前Youcef Lemsafer
date 日付April 1, 2014 21:29:24 UTC 2014 年 4 月 2 日 (水) 6 時 29 分 24 秒 (日本時間)
composite number 合成数
28653899071291502788707083019206896873843843068015878413618962917713759131869582256565628826725265097975622464840884985405096220178881163844240063242952528237607837727985173491<176>
prime factors 素因数
743736208082687143669590291734775986453<39>
composite cofactor 合成数の残り
38526965286737549928306431598141581666471437481574464268549811694224826110208656442084608802198170894731790856082985088238586915854793447<137>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with MPIR 2.6.0] [ECM]
Input number is (2*10^195-3)/(244507*13390259*21318959) (176 digits)
Using B1=31000000, B2=144289975846, polynomial Dickson(12), sigma=3221168759
Step 1 took 172329ms
Step 2 took 57390ms
********** Factor found in step 2: 743736208082687143669590291734775986453
Found probable prime factor of 39 digits: 743736208082687143669590291734775986453
Composite cofactor ((2*10^195-3)/(244507*13390259*21318959))/743736208082687143669590291734775986453 has 137 digits

c137

name 名前Youcef Lemsafer
date 日付June 3, 2014 05:52:31 UTC 2014 年 6 月 3 日 (火) 14 時 52 分 31 秒 (日本時間)
composite number 合成数
38526965286737549928306431598141581666471437481574464268549811694224826110208656442084608802198170894731790856082985088238586915854793447<137>
prime factors 素因数
104315733950970586524012852330913828153019542073<48>
369330338075803596253764802097004029292538219506122378093453932829357363544017147256606239<90>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 38526965286737549928306431598141581666471437481574464268549811694224826110208656442084608802198170894731790856082985088238586915854793447 (137 digits)
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2038085867
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
55      246     1286    7557    49831   361851  2844041 2.4e+007        2.2e+008        2.2e+009
Step 1 took 238058ms
Using 18 small primes for NTT
Estimated memory usage: 209M
Initializing tables of differences for F took 78ms
Computing roots of F took 4321ms
Building F from its roots took 4290ms
Computing 1/F took 1747ms
Initializing table of differences for G took 62ms
Computing roots of G took 3651ms
Building G from its roots took 4695ms
Computing roots of G took 3104ms
Building G from its roots took 4384ms
Computing G * H took 1030ms
Reducing  G * H mod F took 1107ms
Computing roots of G took 3651ms
Building G from its roots took 4992ms
Computing G * H took 1014ms
Reducing  G * H mod F took 1154ms
Computing roots of G took 3464ms
Building G from its roots took 4805ms
Computing G * H took 998ms
Reducing  G * H mod F took 1170ms
Computing roots of G took 3432ms
Building G from its roots took 4977ms
Computing G * H took 889ms
Reducing  G * H mod F took 1154ms
Computing polyeval(F,G) took 8767ms
Computing product of all F(g_i) took 47ms
Step 2 took 69373ms
********** Factor found in step 2: 104315733950970586524012852330913828153019542073
Found probable prime factor of 48 digits: 104315733950970586524012852330913828153019542073
Probable prime cofactor 369330338075803596253764802097004029292538219506122378093453932829357363544017147256606239 has 90 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMay 14, 2007 09:00:00 UTC 2007 年 5 月 14 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 11, 2010 23:47:02 UTC 2010 年 10 月 12 日 (火) 8 時 47 分 2 秒 (日本時間)
403e62234110Ignacio SantosOctober 11, 2010 23:47:02 UTC 2010 年 10 月 12 日 (火) 8 時 47 分 2 秒 (日本時間)
800Dmitry DomanovApril 27, 2012 20:40:18 UTC 2012 年 4 月 28 日 (土) 5 時 40 分 18 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:31 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 31 秒 (日本時間)
1024Youcef LemsaferApril 1, 2014 20:04:48 UTC 2014 年 4 月 2 日 (水) 5 時 4 分 48 秒 (日本時間)
4511e62214 / 332232Ignacio SantosOctober 11, 2010 23:47:02 UTC 2010 年 10 月 12 日 (火) 8 時 47 分 2 秒 (日本時間)
158Youcef LemsaferApril 1, 2014 21:28:43 UTC 2014 年 4 月 2 日 (水) 6 時 28 分 43 秒 (日本時間)
2024Youcef LemsaferMay 30, 2014 06:24:32 UTC 2014 年 5 月 30 日 (金) 15 時 24 分 32 秒 (日本時間)
5043e6185 / 6970Youcef LemsaferJune 3, 2014 05:50:51 UTC 2014 年 6 月 3 日 (火) 14 時 50 分 51 秒 (日本時間)

2×10196-3

c164

name 名前Serge Batalov
date 日付October 11, 2010 18:30:49 UTC 2010 年 10 月 12 日 (火) 3 時 30 分 49 秒 (日本時間)
composite number 合成数
18357727236410160891208283652640137365440641424685222037060969828800623678702889344332756346452051414713297588937163937352473192811334240301262000486561476130665161<164>
prime factors 素因数
31938754629629412334116767753621039<35>
574779056018038826079818762673364437285959587892423580463959074733449809079414441607465440021641387381279266470818308397711345799<129>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2184269901
Step 1 took 11493ms
********** Factor found in step 1: 31938754629629412334116767753621039
Found probable prime factor of 35 digits: 31938754629629412334116767753621039
Probable prime cofactor has 129 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMay 14, 2007 09:00:00 UTC 2007 年 5 月 14 日 (月) 18 時 0 分 0 秒 (日本時間)

2×10197-3

c195

name 名前Wataru Sakai
date 日付May 14, 2009 10:57:35 UTC 2009 年 5 月 14 日 (木) 19 時 57 分 35 秒 (日本時間)
composite number 合成数
124766063630692451653150343106674984404242046163443543356207111665626949469744229569557080474111041796631316281971303805364940736119775421085464753587024329382407985028072364316905801621958827199<195>
prime factors 素因数
45003138917615480291651707486311828111477830485732830843961796036510537<71>
2772385807556537886278044630282889688258769602192237958344592362510261040148261536809278151720138041797820440202530552797127<124>
factorization results 素因数分解の結果
Number: 19997_197
N=124766063630692451653150343106674984404242046163443543356207111665626949469744229569557080474111041796631316281971303805364940736119775421085464753587024329382407985028072364316905801621958827199
  ( 195 digits)
SNFS difficulty: 197 digits.
Divisors found:
 r1=45003138917615480291651707486311828111477830485732830843961796036510537
 r2=2772385807556537886278044630282889688258769602192237958344592362510261040148261536809278151720138041797820440202530552797127
Version: 
Total time: 744.51 hours.
Scaled time: 1495.72 units (timescale=2.009).
Factorization parameters were as follows:
n: 124766063630692451653150343106674984404242046163443543356207111665626949469744229569557080474111041796631316281971303805364940736119775421085464753587024329382407985028072364316905801621958827199
m: 2000000000000000000000000000000000000000
deg: 5
c5: 25
c0: -12
skew: 0.86
type: snfs
lss: 1
rlim: 13900000
alim: 13900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13900000/13900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6950000, 14750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2364522 x 2364770
Total sieving time: 744.51 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,197,5,0,0,0,0,0,0,0,0,13900000,13900000,28,28,55,55,2.5,2.5,100000
total time: 744.51 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
3025e4430Makoto KamadaMay 14, 2007 09:00:00 UTC 2007 年 5 月 14 日 (月) 18 時 0 分 0 秒 (日本時間)

2×10200-3

c197

name 名前matsui
date 日付February 14, 2009 01:40:17 UTC 2009 年 2 月 14 日 (土) 10 時 40 分 17 秒 (日本時間)
composite number 合成数
51059484299208577993362267041102884860862905284656624968087822312994638754148583099310696961960684197089609394945111054378350778657135562930814398774572376818994128159305591013530763339290273168241<197>
prime factors 素因数
1353143889460780219324261867805948229627354629623799<52>
107421636386525513520653234479254640339061189356540018700131<60>
351269691736020689086731151005390507435230742784114223916529804772069637453814458555389<87>
factorization results 素因数分解の結果
N=51059484299208577993362267041102884860862905284656624968087822312994638754148583099310696961960684197089609394945111054378350778657135562930814398774572376818994128159305591013530763339290273168241
  ( 197 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=1353143889460780219324261867805948229627354629623799 (pp52)
 r2=107421636386525513520653234479254640339061189356540018700131 (pp60)
 r3=351269691736020689086731151005390507435230742784114223916529804772069637453814458555389 (pp87)
Version: GGNFS-0.77.1-20060722-nocona

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMay 14, 2007 09:00:00 UTC 2007 年 5 月 14 日 (月) 18 時 0 分 0 秒 (日本時間)

2×10201-3

c115

name 名前Serge Batalov
date 日付April 24, 2012 08:30:13 UTC 2012 年 4 月 24 日 (火) 17 時 30 分 13 秒 (日本時間)
composite number 合成数
2199248562019295866068409196439760505625449553378514703696699513774931359663039532788708224684486753353328267437847<115>
prime factors 素因数
528126000972790728968470866043825834467716739660461803<54>
4164249739585538917398930980470076259326101657554702883036549<61>
factorization results 素因数分解の結果
Divisors found:
 r1=528126000972790728968470866043825834467716739660461803 (pp54)
 r2=4164249739585538917398930980470076259326101657554702883036549 (pp61)
Version: Msieve v. 1.50 (SVN 692M)
Total time: 12.02 hours.
Scaled time: 28.85 units (timescale=2.400).
Factorization parameters were as follows:
n: 2199248562019295866068409196439760505625449553378514703696699513774931359663039532788708224684486753353328267437847
type: gnfs
skew: 95950.23
Y0: -17552527330157451749743
Y1: 268522083851
c0: 6231895418697847964628390000
c1: -148496579823757754121630
c2: -5297157556102791908
c3: 45384315594221
c4: 416398422
c5: 1320
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [1750000, 2750001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 440428 x 440653
Total sieving time: 11.59 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
gnfs,114,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,52,52,2.6,2.6,100000
total time: 12.02 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 24, 2012 01:00:00 UTC 2012 年 4 月 24 日 (火) 10 時 0 分 0 秒 (日本時間)

2×10202-3

c199

name 名前Dmitry Domanov
date 日付April 26, 2012 12:52:40 UTC 2012 年 4 月 26 日 (木) 21 時 52 分 40 秒 (日本時間)
composite number 合成数
7443245254931149981391886862672125046520282843319687383699292891700781540751767770748046148120580573129884629698548567175288425753628582061778935615928544845552660960178637886118347599553405284704131<199>
prime factors 素因数
1286118856404691291274116008107231186761<40>
composite cofactor 合成数の残り
5787369664836833617381021192131594268015645587222814679138135749400770833415800209223647836488648381886886971547561522539348164267061956558592870137249628888171<160>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2794283874
Step 1 took 96370ms
********** Factor found in step 1: 1286118856404691291274116008107231186761
Found probable prime factor of 40 digits: 1286118856404691291274116008107231186761

c160

name 名前Youcef Lemsafer
date 日付April 3, 2014 19:34:17 UTC 2014 年 4 月 4 日 (金) 4 時 34 分 17 秒 (日本時間)
composite number 合成数
5787369664836833617381021192131594268015645587222814679138135749400770833415800209223647836488648381886886971547561522539348164267061956558592870137249628888171<160>
prime factors 素因数
2780515859109026832236584143859145667662527218403<49>
2081401422645115369456090784167537704003577106194759621453099527001888374779759963817274474701825040622177226457<112>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with MPIR 2.6.0] [ECM]
Input number is (2*10^202-3)/(2687*1286118856404691291274116008107231186761) (160 digits)
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1813913304
Step 1 took 183125ms
Step 2 took 69328ms
********** Factor found in step 2: 2780515859109026832236584143859145667662527218403
Found probable prime factor of 49 digits: 2780515859109026832236584143859145667662527218403
Probable prime cofactor ((2*10^202-3)/(2687*1286118856404691291274116008107231186761))/2780515859109026832236584143859145667662527218403 has 112 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 24, 2012 01:00:00 UTC 2012 年 4 月 24 日 (火) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 24, 2012 13:16:40 UTC 2012 年 4 月 24 日 (火) 22 時 16 分 40 秒 (日本時間)
4511e64449400Dmitry DomanovApril 26, 2012 10:58:31 UTC 2012 年 4 月 26 日 (木) 19 時 58 分 31 秒 (日本時間)
4049Youcef LemsaferApril 3, 2014 19:33:01 UTC 2014 年 4 月 4 日 (金) 4 時 33 分 1 秒 (日本時間)
5043e686 / 6516Youcef LemsaferApril 3, 2014 19:33:38 UTC 2014 年 4 月 4 日 (金) 4 時 33 分 38 秒 (日本時間)

2×10204-3

c186

name 名前Daniel Morel
date 日付November 5, 2014 17:30:01 UTC 2014 年 11 月 6 日 (木) 2 時 30 分 1 秒 (日本時間)
composite number 合成数
886516578222201642593123222841515918462785517545864277908653457329916675169105359613354765118136262127983482641153718072414020845231804751507732822048539397659887923538695461663523794543<186>
prime factors 素因数
140685106870842532685031908357284198649941034518366709<54>
6301424492900145219867609089078641919645710375423409614206430063970870521976381947923549474467373257873420784859492299362299971052627<133>
factorization results 素因数分解の結果
Poly : X^5 - 15 ; m = 10^41
skew = 1.4

rlim = alim = 15000000
lpbr = lpba = 28
mfbr = mfba = 48
rlambda = alambda = 2.5

Initial matrix : 1939983 x 2212779
Pruned matrix : 1705928 x 1715691

p54 = 140685106870842532685031908357284198649941034518366709
p133 = 6301424492900145219867609089078641919645710375423409614206430063970870521976381947923549474467373257873420784859492299362299971052627

total time : 131 days or so (15.5 hours for solving matrix)
software ソフトウェア
ggnfs
execution environment 実行環境
AMD Athlon (2.7 GHz) and Intel Core I5 (3.2 GHz) for matrix step

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 24, 2012 01:00:00 UTC 2012 年 4 月 24 日 (火) 10 時 0 分 0 秒 (日本時間)
403e623241000Dmitry DomanovApril 24, 2012 13:17:03 UTC 2012 年 4 月 24 日 (火) 22 時 17 分 3 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:31 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 31 秒 (日本時間)
1024Youcef LemsaferApril 4, 2014 16:03:57 UTC 2014 年 4 月 5 日 (土) 1 時 3 分 57 秒 (日本時間)
4511e64049Youcef LemsaferApril 6, 2014 10:41:27 UTC 2014 年 4 月 6 日 (日) 19 時 41 分 27 秒 (日本時間)
5043e6256 / 6556Youcef LemsaferApril 6, 2014 10:41:27 UTC 2014 年 4 月 6 日 (日) 19 時 41 分 27 秒 (日本時間)

2×10206-3

c191

name 名前Warut Roonguthai
date 日付April 24, 2012 05:34:10 UTC 2012 年 4 月 24 日 (火) 14 時 34 分 10 秒 (日本時間)
composite number 合成数
68604592099895047044801733223187433847904967591331262786205279739605876771349738020633636055951237948192435804922757779575463199483479929112860233872334030062104651903224742801478117704924803<191>
prime factors 素因数
12136140534072956083241771398008840211<38>
5652916749545167419191251118000517475760547648759017048454178097764885983706691057325413197766325009297748082762047461602479973525568694287834799702955473<154>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3889039905
Step 1 took 10592ms
Step 2 took 3307ms
********** Factor found in step 2: 12136140534072956083241771398008840211
Found probable prime factor of 38 digits: 12136140534072956083241771398008840211
Probable prime cofactor 5652916749545167419191251118000517475760547648759017048454178097764885983706691057325413197766325009297748082762047461602479973525568694287834799702955473 has 154 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 KamadaApril 24, 2012 01:00:00 UTC 2012 年 4 月 24 日 (火) 10 時 0 分 0 秒 (日本時間)

2×10208-3

c197

name 名前Youcef Lemsafer
date 日付April 6, 2014 12:55:02 UTC 2014 年 4 月 6 日 (日) 21 時 55 分 2 秒 (日本時間)
composite number 合成数
10282784304857430973822753646772128897086659634381222734038169915063194088398900853278800342057513166400274832210155189925733138517974320283924229816451077992824911134876738214821435262236997842821<197>
prime factors 素因数
291799702173136020939069491735220962421077563709<48>
35239187114578541741201968120745137644946294002797513127468597678667398934978928558682450344377180113264624660722314565435358660213840007905705864169<149>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with MPIR 2.6.0] [ECM]
Input number is (2*10^208-3)/(1944998495257) (197 digits)
Using B1=31000000, B2=144289975846, polynomial Dickson(12), sigma=2691666871
Step 1 took 183218ms
Step 2 took 61860ms
********** Factor found in step 2: 291799702173136020939069491735220962421077563709
Found probable prime factor of 48 digits: 291799702173136020939069491735220962421077563709
Probable prime cofactor ((2*10^208-3)/(1944998495257))/291799702173136020939069491735220962421077563709 has 149 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 24, 2012 01:00:00 UTC 2012 年 4 月 24 日 (火) 10 時 0 分 0 秒 (日本時間)
403e62005 / 23111000Dmitry DomanovApril 24, 2012 13:18:30 UTC 2012 年 4 月 24 日 (火) 22 時 18 分 30 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:32 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 32 秒 (日本時間)
705Youcef LemsaferApril 6, 2014 12:54:36 UTC 2014 年 4 月 6 日 (日) 21 時 54 分 36 秒 (日本時間)
4511e62 / 4032Youcef LemsaferApril 6, 2014 12:54:36 UTC 2014 年 4 月 6 日 (日) 21 時 54 分 36 秒 (日本時間)

2×10210-3

c183

name 名前Daniel Morel
date 日付November 10, 2014 15:40:52 UTC 2014 年 11 月 11 日 (火) 0 時 40 分 52 秒 (日本時間)
composite number 合成数
322224084569415050950929742839037723964890981010576575391091770701965416182295835059837788505848148216039617805904472858216007663276852832991078924361475360671952644115280525321839623<183>
prime factors 素因数
216476718990863191268366351763019768602286901740821957203797639939457538751528412813<84>
1488493017039006060259013100406322855927900571033623141732446133972774266134567864230312704147622371<100>
factorization results 素因数分解の結果
Polynomial : 2 X^5 - 3 ; m = 10^42
skew = 1.5
rlim = alim = 24000000
lpbr = lpba = 28
mfbr = mfba = 49
rlambda = alambda = 2.5

Initial matrix : 3013611 x 3767715
Pruned matrice : 2305377 x 2320509

total time : 212 days or so

p84 = 216476718990863191268366351763019768602286901740821957203797639939457538751528412813
p100 = 1488493017039006060259013100406322855927900571033623141732446133972774266134567864230312704147622371
software ソフトウェア
GGNFS-0.77.1
execution environment 実行環境
AMD Athlon 2,7 GHz and Intel Core I5 3.2 GHz for matrix step
Windows 7

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 24, 2012 01:00:00 UTC 2012 年 4 月 24 日 (火) 10 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovApril 24, 2012 13:18:42 UTC 2012 年 4 月 24 日 (火) 22 時 18 分 42 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:32 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 32 秒 (日本時間)
4511e64049Youcef LemsaferApril 9, 2014 17:13:16 UTC 2014 年 4 月 10 日 (木) 2 時 13 分 16 秒 (日本時間)
5043e6400 / 6595144CypFebruary 13, 2014 05:57:06 UTC 2014 年 2 月 13 日 (木) 14 時 57 分 6 秒 (日本時間)
256Youcef LemsaferApril 9, 2014 17:13:16 UTC 2014 年 4 月 10 日 (木) 2 時 13 分 16 秒 (日本時間)

2×10213-3

c188

name 名前Warut Roonguthai
date 日付April 24, 2012 04:46:29 UTC 2012 年 4 月 24 日 (火) 13 時 46 分 29 秒 (日本時間)
composite number 合成数
70312468869244633892327201257422001207086583313676787125518980487013024939289337014054964010096893043881193328441807836998164691446598052567285517801281863062892057846581271305699733824207<188>
prime factors 素因数
4137850287714964002255483317<28>
composite cofactor 合成数の残り
16992511565243974670480334321911960841060790584193909195079455673835062295569930264417304175706717361703953684447927586606038645255464558519167307744888067581171<161>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2670884894
Step 1 took 10530ms
Step 2 took 6521ms
********** Factor found in step 2: 4137850287714964002255483317
Found probable prime factor of 28 digits: 4137850287714964002255483317
Composite cofactor 16992511565243974670480334321911960841060790584193909195079455673835062295569930264417304175706717361703953684447927586606038645255464558519167307744888067581171 has 161 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 24, 2012 01:00:00 UTC 2012 年 4 月 24 日 (火) 10 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovApril 24, 2012 16:11:03 UTC 2012 年 4 月 25 日 (水) 1 時 11 分 3 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:33 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 33 秒 (日本時間)
4511e64344295CypMarch 6, 2014 12:30:09 UTC 2014 年 3 月 6 日 (木) 21 時 30 分 9 秒 (日本時間)
4049Youcef LemsaferApril 11, 2014 19:57:21 UTC 2014 年 4 月 12 日 (土) 4 時 57 分 21 秒 (日本時間)
5043e6256 / 6529Youcef LemsaferApril 12, 2014 07:12:57 UTC 2014 年 4 月 12 日 (土) 16 時 12 分 57 秒 (日本時間)

2×10215-3

c173

name 名前Cyp
date 日付February 12, 2014 01:16:01 UTC 2014 年 2 月 12 日 (水) 10 時 16 分 1 秒 (日本時間)
composite number 合成数
22442039344660275273563805108920025990253604606334175908611698386449455175337805663849157230340519558755968552863210634261303249363838515929959616037195723522774375728572087<173>
prime factors 素因数
16573557450808921394702445866682490435373<41>
1354087039627387015629520934236415639652525807350845254173139862336319489419098973215358639972444189828145528755691094778191501100019<133>
factorization results 素因数分解の結果
Run 56 out of 144:
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3773457760
Step 1 took 196339ms
Step 2 took 52763ms
********** Factor found in step 2: 16573557450808921394702445866682490435373
Found probable prime factor of 41 digits: 16573557450808921394702445866682490435373
Probable prime cofactor 1354087039627387015629520934236415639652525807350845254173139862336319489419098973215358639972444189828145528755691094778191501100019 has 133 digits
software ソフトウェア
GMP-ECM 6.4.4
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
351e6118Makoto KamadaApril 24, 2012 01:00:00 UTC 2012 年 4 月 24 日 (火) 10 時 0 分 0 秒 (日本時間)
403e61300 / 23181000Dmitry DomanovApril 24, 2012 13:18:55 UTC 2012 年 4 月 24 日 (火) 22 時 18 分 55 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:33 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 33 秒 (日本時間)

2×10216-3

c207

name 名前Warut Roonguthai
date 日付April 24, 2012 04:38:44 UTC 2012 年 4 月 24 日 (火) 13 時 38 分 44 秒 (日本時間)
composite number 合成数
117968050144727205983652496171207877713770432606505006383586517513725502858445100044424921484519500792669885896511807343719724412339493600708779366669934572370690010914730181048811268332073744912066235859919<207>
prime factors 素因数
2910507616008323182620422640409<31>
40531778544705190212735174877324153539405441771687422624638654660072981567240113163074487282968284172984079615158535343400813277330934513509844537498117133436197724550511940391<176>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1064297704
Step 1 took 12044ms
Step 2 took 7285ms
********** Factor found in step 2: 2910507616008323182620422640409
Found probable prime factor of 31 digits: 2910507616008323182620422640409
Probable prime cofactor 40531778544705190212735174877324153539405441771687422624638654660072981567240113163074487282968284172984079615158535343400813277330934513509844537498117133436197724550511940391 has 176 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 KamadaApril 24, 2012 01:00:00 UTC 2012 年 4 月 24 日 (火) 10 時 0 分 0 秒 (日本時間)

2×10217-3

c199

name 名前Dmitry Domanov
date 日付April 24, 2012 19:47:50 UTC 2012 年 4 月 25 日 (水) 4 時 47 分 50 秒 (日本時間)
composite number 合成数
3363383282512695799222078560219175047739862587224282285698409131202304331408178502023710002317497563659120661737160294018519485940952040765134019074051428591850884004824217066679587380706599415989157<199>
prime factors 素因数
25884187118886627570188936282803752437<38>
129939691251056257585854080456075821226542331569765499285669669469695179299614825855139930860630285430925582622277057328763775322370571875539673558067526851256561<162>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1838680297
Step 1 took 37960ms
Step 2 took 12601ms
********** Factor found in step 2: 25884187118886627570188936282803752437
Found probable prime factor of 38 digits: 25884187118886627570188936282803752437

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 24, 2012 01:00:00 UTC 2012 年 4 月 24 日 (火) 10 時 0 分 0 秒 (日本時間)
403e61000 / 2318Dmitry DomanovApril 24, 2012 13:19:08 UTC 2012 年 4 月 24 日 (火) 22 時 19 分 8 秒 (日本時間)

2×10219-3

c183

composite cofactor 合成数の残り
612178017516837488934098762729224315230193379397184356602810229276805444938461475203343182230619125485835287156825104070834618123361292173871411839995512813190287625915339487994089397<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 24, 2012 01:00:00 UTC 2012 年 4 月 24 日 (火) 10 時 0 分 0 秒 (日本時間)
403e623241000Dmitry DomanovApril 24, 2012 13:19:26 UTC 2012 年 4 月 24 日 (火) 22 時 19 分 26 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:34 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 34 秒 (日本時間)
1024Youcef LemsaferApril 12, 2014 13:11:02 UTC 2014 年 4 月 12 日 (土) 22 時 11 分 2 秒 (日本時間)
4511e64049Youcef LemsaferApril 14, 2014 10:52:12 UTC 2014 年 4 月 14 日 (月) 19 時 52 分 12 秒 (日本時間)
5043e6256 / 6556Youcef LemsaferApril 15, 2014 06:06:05 UTC 2014 年 4 月 15 日 (火) 15 時 6 分 5 秒 (日本時間)

2×10220-3

c195

composite cofactor 合成数の残り
155691944878389481926438487960262742328830709442378048940391333327790770759478042385081965854284201197540901833495027881411219920231317447571676212249272483767941360300162316757941312101638946311<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 24, 2012 01:00:00 UTC 2012 年 4 月 24 日 (火) 10 時 0 分 0 秒 (日本時間)
403e623241000Dmitry DomanovApril 24, 2012 13:19:38 UTC 2012 年 4 月 24 日 (火) 22 時 19 分 38 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:34 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 34 秒 (日本時間)
1024Youcef LemsaferApril 15, 2014 06:06:35 UTC 2014 年 4 月 15 日 (火) 15 時 6 分 35 秒 (日本時間)
4511e64049Youcef LemsaferApril 20, 2014 07:35:43 UTC 2014 年 4 月 20 日 (日) 16 時 35 分 43 秒 (日本時間)
5043e6256 / 6556Youcef LemsaferApril 20, 2014 07:35:43 UTC 2014 年 4 月 20 日 (日) 16 時 35 分 43 秒 (日本時間)

2×10221-3

c168

name 名前Serge Batalov
date 日付April 24, 2012 05:27:43 UTC 2012 年 4 月 24 日 (火) 14 時 27 分 43 秒 (日本時間)
composite number 合成数
864851799418422793265401590039160697459491160602164273919471728602881673909382122547006246368162669697834126875889169699431587969529990783687049118541876764041560320347<168>
prime factors 素因数
241619328035925606722501134108501<33>
composite cofactor 合成数の残り
3579398247849736340256448033734328363473633919311696558065797117428601192231744021657761466391971589336032904332131539242168355400420847<136>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=94495171
Step 1 took 7616ms
Step 2 took 232ms
********** Factor found in step 2: 241619328035925606722501134108501
Found probable prime factor of 33 digits: 241619328035925606722501134108501
Composite cofactor 357939824784... has 136 digits

c136

name 名前Dmitry Domanov
date 日付April 26, 2012 06:35:30 UTC 2012 年 4 月 26 日 (木) 15 時 35 分 30 秒 (日本時間)
composite number 合成数
3579398247849736340256448033734328363473633919311696558065797117428601192231744021657761466391971589336032904332131539242168355400420847<136>
prime factors 素因数
37413757886714725965227431884969469<35>
95670642299226163546762340341664550405770980540443502690029188500915750910687455763134951331378364763<101>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4282848356
Step 1 took 49863ms
Step 2 took 19179ms
********** Factor found in step 2: 37413757886714725965227431884969469
Found probable prime factor of 35 digits: 37413757886714725965227431884969469

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 24, 2012 01:00:00 UTC 2012 年 4 月 24 日 (火) 10 時 0 分 0 秒 (日本時間)
403e62400Dmitry DomanovApril 25, 2012 22:36:06 UTC 2012 年 4 月 26 日 (木) 7 時 36 分 6 秒 (日本時間)

2×10222-3

c199

name 名前Warut Roonguthai
date 日付April 24, 2012 07:22:43 UTC 2012 年 4 月 24 日 (火) 16 時 22 分 43 秒 (日本時間)
composite number 合成数
6119860626704276240280315056280079478876747737165981069634647109723774017041370621718945576595057413029933364479280884900887432144468430548231377545327070845491937580346912898808747881998231975428641<199>
prime factors 素因数
978728356313958430829615646832739683<36>
6252869437391814122052799169952806939273207108486827795864632042891471294059259078651259804184060010774901420080747252835190709632657674182572598925826731107648427<163>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1149006562
Step 1 took 10499ms
Step 2 took 6240ms
********** Factor found in step 2: 978728356313958430829615646832739683
Found probable prime factor of 36 digits: 978728356313958430829615646832739683
Probable prime cofactor 6252869437391814122052799169952806939273207108486827795864632042891471294059259078651259804184060010774901420080747252835190709632657674182572598925826731107648427 has 163 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 KamadaApril 24, 2012 01:00:00 UTC 2012 年 4 月 24 日 (火) 10 時 0 分 0 秒 (日本時間)

2×10223-3

c201

composite cofactor 合成数の残り
248745660147542203124038710979969252637555449343690409218566008688413908621833015944826060242523617255926304484773469590156376512644745698960082147252970755876693641739387747885243428840951923218982867<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 24, 2012 01:00:00 UTC 2012 年 4 月 24 日 (火) 10 時 0 分 0 秒 (日本時間)
403e623241000Dmitry DomanovApril 24, 2012 13:19:52 UTC 2012 年 4 月 24 日 (火) 22 時 19 分 52 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:35 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 35 秒 (日本時間)
1024Youcef LemsaferApril 20, 2014 07:39:55 UTC 2014 年 4 月 20 日 (日) 16 時 39 分 55 秒 (日本時間)
4511e64049Youcef LemsaferApril 22, 2014 06:14:02 UTC 2014 年 4 月 22 日 (火) 15 時 14 分 2 秒 (日本時間)

2×10224-3

c196

name 名前Serge Batalov
date 日付April 24, 2012 07:17:49 UTC 2012 年 4 月 24 日 (火) 16 時 17 分 49 秒 (日本時間)
composite number 合成数
5392953854619515252846337782534535819626207840668845943518683751642135746615590117389104368425644531782713944698708495265541068476045237250138791822499337258823554260273223435819552120099293337047<196>
prime factors 素因数
154999085402938384453964464757<30>
composite cofactor 合成数の残り
34793455978142685883877262829658856324548496048339907554240034583128720613558147933217131407027831278617757814592851778124447573028936138214214072456457467575433794971<167>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=4282495943
Step 1 took 9972ms
********** Factor found in step 1: 154999085402938384453964464757
Found probable prime factor of 30 digits: 154999085402938384453964464757
Composite cofactor 347934559781... has 167 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 24, 2012 01:00:00 UTC 2012 年 4 月 24 日 (火) 10 時 0 分 0 秒 (日本時間)
403e623241000Dmitry DomanovApril 24, 2012 20:39:53 UTC 2012 年 4 月 25 日 (水) 5 時 39 分 53 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:35 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 35 秒 (日本時間)
1024Youcef LemsaferApril 24, 2014 05:32:48 UTC 2014 年 4 月 24 日 (木) 14 時 32 分 48 秒 (日本時間)
4511e64049Youcef LemsaferApril 24, 2014 05:32:48 UTC 2014 年 4 月 24 日 (木) 14 時 32 分 48 秒 (日本時間)
5043e6256 / 6556Youcef LemsaferApril 24, 2014 16:20:30 UTC 2014 年 4 月 25 日 (金) 1 時 20 分 30 秒 (日本時間)

2×10226-3

c203

name 名前Youcef Lemsafer
date 日付April 25, 2014 10:22:34 UTC 2014 年 4 月 25 日 (金) 19 時 22 分 34 秒 (日本時間)
composite number 合成数
67611338002552546127392179575493977635760462579287718135284965268891051471050761131857949696508399018805155441596831603429104143720932434163896544616618758342504113741551637646626818579095988054978068867<203>
prime factors 素因数
566288857423373850757043983660903074101<39>
composite cofactor 合成数の残り
119393728335368540733632704330396233070108167002003889351867876714313638374393159864734343691768137335849709877113582025770971167156737717665422789546866086479294167<165>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is (2*10^226-3)/(715302283*413543171389277) (203 digits)
Using B1=31000000, B2=144289975846, polynomial Dickson(12), sigma=3901615186
Step 1 took 207469ms
Step 2 took 54656ms
********** Factor found in step 2: 566288857423373850757043983660903074101
Found probable prime factor of 39 digits: 566288857423373850757043983660903074101
Composite cofactor ((2*10^226-3)/(715302283*413543171389277))/566288857423373850757043983660903074101 has 165 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 24, 2012 01:00:00 UTC 2012 年 4 月 24 日 (火) 10 時 0 分 0 秒 (日本時間)
403e623241000Dmitry DomanovApril 24, 2012 13:20:03 UTC 2012 年 4 月 24 日 (火) 22 時 20 分 3 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:36 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 36 秒 (日本時間)
1024Youcef LemsaferApril 24, 2014 16:21:15 UTC 2014 年 4 月 25 日 (金) 1 時 21 分 15 秒 (日本時間)
4511e64052485Youcef LemsaferApril 25, 2014 10:22:02 UTC 2014 年 4 月 25 日 (金) 19 時 22 分 2 秒 (日本時間)
3567Youcef LemsaferApril 27, 2014 17:29:08 UTC 2014 年 4 月 28 日 (月) 2 時 29 分 8 秒 (日本時間)
5043e6256 / 6555Youcef LemsaferApril 28, 2014 10:37:33 UTC 2014 年 4 月 28 日 (月) 19 時 37 分 33 秒 (日本時間)

2×10227-3

c202

composite cofactor 合成数の残り
4423799068577132352114676799351884203052082265184296881671819624603069622625585256024654395540758856990182934726373579308770430506501708368961630934003088480449831386363317953183983422672595530888746557<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 24, 2012 01:00:00 UTC 2012 年 4 月 24 日 (火) 10 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovApril 24, 2012 13:20:15 UTC 2012 年 4 月 24 日 (火) 22 時 20 分 15 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:37 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 37 秒 (日本時間)
4511e64344295CypMarch 10, 2014 13:48:54 UTC 2014 年 3 月 10 日 (月) 22 時 48 分 54 秒 (日本時間)
4049Youcef LemsaferApril 29, 2014 08:44:27 UTC 2014 年 4 月 29 日 (火) 17 時 44 分 27 秒 (日本時間)
5043e6256 / 6529Youcef LemsaferApril 30, 2014 09:38:26 UTC 2014 年 4 月 30 日 (水) 18 時 38 分 26 秒 (日本時間)

2×10228-3

c229

name 名前matsui
date 日付December 25, 2012 03:02:39 UTC 2012 年 12 月 25 日 (火) 12 時 2 分 39 秒 (日本時間)
composite number 合成数
1999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<229>
prime factors 素因数
30024793619132174850277464564778651507316792514085739591903<59>
66611615232738017233459031912125913300592791455653574653177420920604728345450464912272323878517748044003059617270700190371105657873121766992882166994527173620303402907299<170>
factorization results 素因数分解の結果
N=1999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997
  ( 229 digits)
SNFS difficulty: 228 digits.
Divisors found:
 r1=30024793619132174850277464564778651507316792514085739591903 (pp59)
 r2=66611615232738017233459031912125913300592791455653574653177420920604728345450464912272323878517748044003059617270700190371105657873121766992882166994527173620303402907299 (pp170)
Version: Msieve v. 1.51 (SVN Unversioned directory)
Total time:
Scaled time: 2023.20 units (timescale=1.820).
Factorization parameters were as follows:
n: 1999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997
m: 100000000000000000000000000000000000000
deg: 6
c6: 2
c0: -3
skew: 1.07
# Murphy_E = 1.682e-12
type: snfs
lss: 1
rlim: 45000000
alim: 45000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
qintsize: 3200000
Factor base limits: 45000000/45000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 59/59
Sieved rational special-q in [22500000, 51300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 5266609 x 5266835
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,228.000,6,0,0,0,0,0,0,0,0,45000000,45000000,30,30,59,59,2.7,2.7,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6908118Makoto KamadaApril 24, 2012 01:00:00 UTC 2012 年 4 月 24 日 (火) 10 時 0 分 0 秒 (日本時間)
790Serge BatalovApril 24, 2012 03:10:43 UTC 2012 年 4 月 24 日 (火) 12 時 10 分 43 秒 (日本時間)
403e61000Dmitry DomanovApril 24, 2012 13:20:28 UTC 2012 年 4 月 24 日 (火) 22 時 20 分 28 秒 (日本時間)
4511e6400Dmitry DomanovApril 26, 2012 12:53:10 UTC 2012 年 4 月 26 日 (木) 21 時 53 分 10 秒 (日本時間)
5043e61000 / 7305Dmitry DomanovApril 26, 2012 19:22:29 UTC 2012 年 4 月 27 日 (金) 4 時 22 分 29 秒 (日本時間)
5511e748 / 17379Dmitry DomanovMay 21, 2012 08:21:00 UTC 2012 年 5 月 21 日 (月) 17 時 21 分 0 秒 (日本時間)

2×10229-3

c199

name 名前Warut Roonguthai
date 日付April 24, 2012 14:37:55 UTC 2012 年 4 月 24 日 (火) 23 時 37 分 55 秒 (日本時間)
composite number 合成数
1489327975265776240478200292438342736960169402801434410909470092078096644853145382390004295680394413603095422313816514520970901813550041708064537982499265470460270955518590038475585210060876249751571<199>
prime factors 素因数
15723168553375221829200343382865377<35>
composite cofactor 合成数の残り
94721873025145997493042479361746970174133102569682382554451002077964813297091675620200571259203696498970994990409586320526309850706021536012408231522622691124292723<164>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=507080934
Step 1 took 11778ms
********** Factor found in step 1: 15723168553375221829200343382865377
Found probable prime factor of 35 digits: 15723168553375221829200343382865377
Composite cofactor 94721873025145997493042479361746970174133102569682382554451002077964813297091675620200571259203696498970994990409586320526309850706021536012408231522622691124292723 has 164 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 24, 2012 01:00:00 UTC 2012 年 4 月 24 日 (火) 10 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovApril 24, 2012 13:20:40 UTC 2012 年 4 月 24 日 (火) 22 時 20 分 40 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:37 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 37 秒 (日本時間)
4511e64344295CypFebruary 18, 2014 20:16:36 UTC 2014 年 2 月 19 日 (水) 5 時 16 分 36 秒 (日本時間)
4049Youcef LemsaferMay 1, 2014 13:45:46 UTC 2014 年 5 月 1 日 (木) 22 時 45 分 46 秒 (日本時間)
5043e6256 / 6529Youcef LemsaferMay 2, 2014 02:47:20 UTC 2014 年 5 月 2 日 (金) 11 時 47 分 20 秒 (日本時間)

2×10231-3

c229

name 名前Dmitry Domanov
date 日付April 25, 2012 07:22:40 UTC 2012 年 4 月 25 日 (水) 16 時 22 分 40 秒 (日本時間)
composite number 合成数
6514657980456026058631921824104234527687296416938110749185667752442996742671009771986970684039087947882736156351791530944625407166123778501628664495114006514657980456026058631921824104234527687296416938110749185667752442996742671<229>
prime factors 素因数
4048566612295796164682454096118141<34>
composite cofactor 合成数の残り
1609127032928278383432185469093756034263834801772365852277454313836512034679460200494397483469372453441502984450377178394409495339556229218063951321653338420095892340503658136546377936843101118331<196>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3858830021
Step 1 took 42272ms
Step 2 took 14481ms
********** Factor found in step 2: 4048566612295796164682454096118141
Found probable prime factor of 34 digits: 4048566612295796164682454096118141

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 24, 2012 01:00:00 UTC 2012 年 4 月 24 日 (火) 10 時 0 分 0 秒 (日本時間)
403e623241000Dmitry DomanovApril 24, 2012 13:20:52 UTC 2012 年 4 月 24 日 (火) 22 時 20 分 52 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:38 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 38 秒 (日本時間)
1024Youcef LemsaferMay 2, 2014 02:48:08 UTC 2014 年 5 月 2 日 (金) 11 時 48 分 8 秒 (日本時間)
4511e64049Youcef LemsaferMay 4, 2014 11:32:44 UTC 2014 年 5 月 4 日 (日) 20 時 32 分 44 秒 (日本時間)
5043e6256 / 6556Youcef LemsaferMay 5, 2014 07:28:30 UTC 2014 年 5 月 5 日 (月) 16 時 28 分 30 秒 (日本時間)

2×10232-3

c207

composite cofactor 合成数の残り
141867226474763641505409835376894520295247888866573734174793648745902438605154980565659719430193349029001981308085104629963539533638635267326808921287428168916841025323053660748126869215165489715473244124017<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 24, 2012 01:00:00 UTC 2012 年 4 月 24 日 (火) 10 時 0 分 0 秒 (日本時間)
403e623241000Dmitry DomanovApril 24, 2012 13:21:03 UTC 2012 年 4 月 24 日 (火) 22 時 21 分 3 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:39 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 39 秒 (日本時間)
1024Youcef LemsaferMay 5, 2014 07:29:07 UTC 2014 年 5 月 5 日 (月) 16 時 29 分 7 秒 (日本時間)
4511e64049Youcef LemsaferMay 8, 2014 13:36:18 UTC 2014 年 5 月 8 日 (木) 22 時 36 分 18 秒 (日本時間)
5043e6256 / 6556Youcef LemsaferMay 8, 2014 13:36:18 UTC 2014 年 5 月 8 日 (木) 22 時 36 分 18 秒 (日本時間)

2×10233-3

c212

composite cofactor 合成数の残り
66570544503627181374950291779027855817276209770518170892290192839378550524509839917137718749854923853303324977429466637177650118531135416633390393308956737613506043938408034291698747126368641823348070324668454363<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 24, 2012 01:00:00 UTC 2012 年 4 月 24 日 (火) 10 時 0 分 0 秒 (日本時間)
403e623241000Dmitry DomanovApril 24, 2012 13:21:16 UTC 2012 年 4 月 24 日 (火) 22 時 21 分 16 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:39 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 39 秒 (日本時間)
1024Youcef LemsaferMay 8, 2014 13:36:43 UTC 2014 年 5 月 8 日 (木) 22 時 36 分 43 秒 (日本時間)
4511e64049Youcef LemsaferMay 10, 2014 20:25:35 UTC 2014 年 5 月 11 日 (日) 5 時 25 分 35 秒 (日本時間)
5043e6256 / 6556Youcef LemsaferMay 10, 2014 20:25:35 UTC 2014 年 5 月 11 日 (日) 5 時 25 分 35 秒 (日本時間)

2×10234-3

c174

composite cofactor 合成数の残り
167245780442492686356138013925837013628138863341525327375940688386873677419208573931051766930427829205987966739589147554365614283471381992468097877870642756694045130091847941<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 24, 2012 01:00:00 UTC 2012 年 4 月 24 日 (火) 10 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovApril 24, 2012 13:21:29 UTC 2012 年 4 月 24 日 (火) 22 時 21 分 29 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:40 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 40 秒 (日本時間)
4511e64049Youcef LemsaferMay 12, 2014 15:55:42 UTC 2014 年 5 月 13 日 (火) 0 時 55 分 42 秒 (日本時間)
5043e6400 / 6595144CypFebruary 13, 2014 14:06:07 UTC 2014 年 2 月 13 日 (木) 23 時 6 分 7 秒 (日本時間)
256Youcef LemsaferMay 13, 2014 08:39:03 UTC 2014 年 5 月 13 日 (火) 17 時 39 分 3 秒 (日本時間)

2×10236-3

c224

name 名前Serge Batalov
date 日付April 24, 2012 07:17:27 UTC 2012 年 4 月 24 日 (火) 16 時 17 分 27 秒 (日本時間)
composite number 合成数
22175968306220208960748769000321207326501581819751681990560904505475029455055996021539134958356112736546987477720710867843383803391181963962875312761484606555595847771443887942023738360489683260050558128274560829991811879839<224>
prime factors 素因数
12009433880612342732232668072083<32>
composite cofactor 合成数の残り
1846545684557238274338585831874252851162872011326900147337546617864258830237046956226636320724307725615775812161224970918547192001893303849077963458482385885620137330679903272652743150571121733<193>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=1425505102
Step 1 took 11324ms
Step 2 took 7809ms
********** Factor found in step 2: 12009433880612342732232668072083
Found probable prime factor of 32 digits: 12009433880612342732232668072083
Composite cofactor 184654568455... has 193 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 24, 2012 01:00:00 UTC 2012 年 4 月 24 日 (火) 10 時 0 分 0 秒 (日本時間)
403e623241000Dmitry DomanovApril 24, 2012 20:40:10 UTC 2012 年 4 月 25 日 (水) 5 時 40 分 10 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:40 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 40 秒 (日本時間)
1024Youcef LemsaferMay 15, 2014 11:51:56 UTC 2014 年 5 月 15 日 (木) 20 時 51 分 56 秒 (日本時間)
4511e64049Youcef LemsaferMay 15, 2014 11:51:56 UTC 2014 年 5 月 15 日 (木) 20 時 51 分 56 秒 (日本時間)
5043e6256 / 6556Youcef LemsaferMay 15, 2014 15:43:35 UTC 2014 年 5 月 16 日 (金) 0 時 43 分 35 秒 (日本時間)

2×10238-3

c239

name 名前[AF>Amis des Lapins] Nabz37
date 日付May 13, 2013 07:32:00 UTC 2013 年 5 月 13 日 (月) 16 時 32 分 0 秒 (日本時間)
composite number 合成数
19999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<239>
prime factors 素因数
182625022220087371143591593339304445360223017057<48>
109514018160651324327565047578203270952101063830848128477945755505097846999465106685854013654831490985344114585966360642253466266709908477967918221633463160416022624941797865806219713631067421<192>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 19999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997 (239 digits)
[Mon May 13 04:09:17 2013]
Using MODMULN
Using B1=260000000, B2=3178559884516, polynomial Dickson(30), sigma=2603045715
dF=262144, k=4, d=2852850, d2=17, i0=75
Expected number of curves to find a factor of n digits:
35   40      45      50      55      60      65      70      75      80
23      82      335     1521    7650    42057   250476  1603736 1.1e+007        7.9e+007
Step 1 took 2480571ms
Using 29 small primes for NTT
Estimated memory usage: 1524M
Initializing tables of differences for F took 749ms
Computing roots of F took 62384ms
Building F from its roots took 35132ms
Computing 1/F took 12574ms
Initializing table of differences for G took 921ms
Computing roots of G took 49046ms
Building G from its roots took 34695ms
Computing roots of G took 49062ms
Building G from its roots took 35209ms
Computing G * H took 7004ms
Reducing  G * H mod F took 6740ms
Computing roots of G took 49577ms
Building G from its roots took 35287ms
Computing G * H took 6723ms
Reducing  G * H mod F took 6381ms
Computing roots of G took 49904ms
Building G from its roots took 34804ms
Computing G * H took 6770ms
Reducing  G * H mod F took 6693ms
Computing polyeval(F,G) took 67486ms
Computing product of all F(g_i) took 234ms
Step 2 took 558734ms
********** Factor found in step 2: 182625022220087371143591593339304445360223017057
Found probable prime factor of 48 digits: 182625022220087371143591593339304445360223017057
Probable prime cofactor 109514018160651324327565047578203270952101063830848128477945755505097846999465106685854013654831490985344114585966360642253466266709908477967918221633463160416022624941797865806219713631067421 has 192 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaApril 24, 2012 01:00:00 UTC 2012 年 4 月 24 日 (火) 10 時 0 分 0 秒 (日本時間)
786Serge BatalovApril 24, 2012 03:11:28 UTC 2012 年 4 月 24 日 (火) 12 時 11 分 28 秒 (日本時間)
403e61000Dmitry DomanovApril 24, 2012 13:21:49 UTC 2012 年 4 月 24 日 (火) 22 時 21 分 49 秒 (日本時間)
4511e6400Dmitry DomanovApril 27, 2012 11:33:23 UTC 2012 年 4 月 27 日 (金) 20 時 33 分 23 秒 (日本時間)
5043e61000Dmitry DomanovApril 27, 2012 14:00:32 UTC 2012 年 4 月 27 日 (金) 23 時 0 分 32 秒 (日本時間)
5511e750 / 11276Dmitry DomanovMay 21, 2012 07:45:43 UTC 2012 年 5 月 21 日 (月) 16 時 45 分 43 秒 (日本時間)
6026e72625 / 41874yoyo@homeMay 12, 2013 22:10:26 UTC 2013 年 5 月 13 日 (月) 7 時 10 分 26 秒 (日本時間)

2×10239-3

c230

composite cofactor 合成数の残り
38935125387474994516780892353916825324690722632526208333302290682321277749163391567700325064475501792601108791814260861158074264594573270931335594995469219716607407636193088267572510372790951685863703891240070686696779885620060219<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 24, 2012 01:00:00 UTC 2012 年 4 月 24 日 (火) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 24, 2012 13:22:00 UTC 2012 年 4 月 24 日 (火) 22 時 22 分 0 秒 (日本時間)
4511e64449400Dmitry DomanovApril 27, 2012 11:35:33 UTC 2012 年 4 月 27 日 (金) 20 時 35 分 33 秒 (日本時間)
4049Youcef LemsaferMay 18, 2014 11:12:01 UTC 2014 年 5 月 18 日 (日) 20 時 12 分 1 秒 (日本時間)
5043e61256 / 65161000Dmitry DomanovApril 27, 2012 13:58:44 UTC 2012 年 4 月 27 日 (金) 22 時 58 分 44 秒 (日本時間)
256Youcef LemsaferMay 18, 2014 21:28:30 UTC 2014 年 5 月 19 日 (月) 6 時 28 分 30 秒 (日本時間)

2×10240-3

c224

name 名前Youcef Lemsafer
date 日付May 19, 2014 13:30:30 UTC 2014 年 5 月 19 日 (月) 22 時 30 分 30 秒 (日本時間)
composite number 合成数
14429574209012955218314609277056076791822880398835975645935756998727414508856727628916392359154349199683133555330245242317140875628468346921022182213578852573595920398802544796599234335246731137350614446075228089583104817631<224>
prime factors 素因数
3912235847573107784415740105626526759909539897<46>
3688319102224910120409783003352132108600535902817319617469615271955651778420527962675271095599373118666764611003201088080320885760512904480526182701847376772008225391540998200023<178>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is (2*10^240-3)/(19*29*331*759970766927) (224 digits)
Using B1=31000000, B2=144289975846, polynomial Dickson(12), sigma=302713406
Step 1 took 199984ms
Step 2 took 51454ms
********** Factor found in step 2: 3912235847573107784415740105626526759909539897
Found probable prime factor of 46 digits: 3912235847573107784415740105626526759909539897
Probable prime cofactor ((2*10^240-3)/(19*29*331*759970766927))/3912235847573107784415740105626526759909539897 has 178 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 24, 2012 01:00:00 UTC 2012 年 4 月 24 日 (火) 10 時 0 分 0 秒 (日本時間)
403e623241000Dmitry DomanovApril 24, 2012 13:22:12 UTC 2012 年 4 月 24 日 (火) 22 時 22 分 12 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:41 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 41 秒 (日本時間)
1024Youcef LemsaferMay 19, 2014 07:14:02 UTC 2014 年 5 月 19 日 (月) 16 時 14 分 2 秒 (日本時間)
4511e6725 / 3961Youcef LemsaferMay 19, 2014 13:29:22 UTC 2014 年 5 月 19 日 (月) 22 時 29 分 22 秒 (日本時間)

2×10241-3

c216

composite cofactor 合成数の残り
198664620301761653106889842554469564608374229369191465354772533910052847148282809367746791418778008361066654407325188163532385488799022931502978436012562951902758343695792301867452024324355129045157470628268758899519<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 24, 2012 01:00:00 UTC 2012 年 4 月 24 日 (火) 10 時 0 分 0 秒 (日本時間)
403e623241000Dmitry DomanovApril 24, 2012 13:22:22 UTC 2012 年 4 月 24 日 (火) 22 時 22 分 22 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:42 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 42 秒 (日本時間)
1024Youcef LemsaferMay 19, 2014 16:18:32 UTC 2014 年 5 月 20 日 (火) 1 時 18 分 32 秒 (日本時間)
4511e64049Youcef LemsaferMay 22, 2014 10:24:41 UTC 2014 年 5 月 22 日 (木) 19 時 24 分 41 秒 (日本時間)
5043e6256 / 6556Youcef LemsaferMay 22, 2014 17:15:15 UTC 2014 年 5 月 23 日 (金) 2 時 15 分 15 秒 (日本時間)

2×10244-3

c221

composite cofactor 合成数の残り
73901441137072418332779512185321135773494373183427742489862620482447194943213792591841128586442720653822869715660886512620598111797901342247230273277951785600185628873408747796734582661424743817514497628914074411948773933<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 24, 2012 01:00:00 UTC 2012 年 4 月 24 日 (火) 10 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovApril 24, 2012 13:22:34 UTC 2012 年 4 月 24 日 (火) 22 時 22 分 34 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:42 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 42 秒 (日本時間)
4511e64344290CypJanuary 10, 2014 17:43:14 UTC 2014 年 1 月 11 日 (土) 2 時 43 分 14 秒 (日本時間)
5CypFebruary 17, 2014 15:45:56 UTC 2014 年 2 月 18 日 (火) 0 時 45 分 56 秒 (日本時間)
4049Youcef LemsaferMay 25, 2014 20:43:18 UTC 2014 年 5 月 26 日 (月) 5 時 43 分 18 秒 (日本時間)
5043e6256 / 6529Youcef LemsaferMay 25, 2014 20:43:18 UTC 2014 年 5 月 26 日 (月) 5 時 43 分 18 秒 (日本時間)

2×10246-3

c200

name 名前Serge Batalov
date 日付January 9, 2014 09:07:30 UTC 2014 年 1 月 9 日 (木) 18 時 7 分 30 秒 (日本時間)
composite number 合成数
29100796087104314172844303552039698411532943713922247039666721107119090308958127596933310191889520326400257811351464117285064124808016412157244890170657513055447889544503124377121478076455075481412789<200>
prime factors 素因数
4018188147321608814166257058786846795651439<43>
7242268161709137831838562067578609584103765069244908239810867011869962772676684716241524723306379828578647812941180366336085743532283673780680749391500634651<157>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3869965053
Step 1 took 18666ms
Step 2 took 7240ms
********** Factor found in step 2: 4018188147321608814166257058786846795651439
Found probable prime factor of 43 digits: 4018188147321608814166257058786846795651439
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 24, 2012 01:00:00 UTC 2012 年 4 月 24 日 (火) 10 時 0 分 0 秒 (日本時間)
403e61300 / 23181000Dmitry DomanovApril 24, 2012 13:22:47 UTC 2012 年 4 月 24 日 (火) 22 時 22 分 47 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:43 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 43 秒 (日本時間)

2×10248-3

c239

name 名前Dmitry Domanov
date 日付April 28, 2012 06:27:31 UTC 2012 年 4 月 28 日 (土) 15 時 27 分 31 秒 (日本時間)
composite number 合成数
12067808702612887022085261287633302370294826862255827464134105825297549121258219837276447398507997231324403977636371112074917782346648409459093093588910066738004508138834629686176174301649868309032887662377848649997600699392411735374821297<239>
prime factors 素因数
4714527478402038919967199707683966951516549715539<49>
2559706939432920451995953701921284123256065456017641462484593896869629642577358901907104349447523520566726806546964070472689316311495977821302524090699929187176128955830178935560243756790123<190>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=164522686
Step 1 took 715282ms
Step 2 took 159493ms
********** Factor found in step 2: 4714527478402038919967199707683966951516549715539
Found probable prime factor of 49 digits: 4714527478402038919967199707683966951516549715539

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 24, 2012 01:00:00 UTC 2012 年 4 月 24 日 (火) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 24, 2012 13:22:58 UTC 2012 年 4 月 24 日 (火) 22 時 22 分 58 秒 (日本時間)
4511e6400Dmitry DomanovApril 27, 2012 13:17:53 UTC 2012 年 4 月 27 日 (金) 22 時 17 分 53 秒 (日本時間)
5043e61100 / 7425Dmitry DomanovApril 27, 2012 14:50:03 UTC 2012 年 4 月 27 日 (金) 23 時 50 分 3 秒 (日本時間)

2×10252-3

c217

name 名前Dmitry Domanov
date 日付February 1, 2016 19:20:13 UTC 2016 年 2 月 2 日 (火) 4 時 20 分 13 秒 (日本時間)
composite number 合成数
1636565331371973564705917390408958697248027460638929089683945534329693009475525617882358461293048933545123590974727455131353530037591659298288753927370492934568330151249993287037678914526683776734097866995750400961561<217>
prime factors 素因数
114846824168515562082170992662117996584593<42>
14249983342775152511283974632504836471334466454461808407299643250350840001958502583079040166988647971950379495892735145673749228064136974691976078574148176892933556437766490377<176>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4069030243
Step 1 took 37901ms
Step 2 took 10418ms
********** Factor found in step 2: 114846824168515562082170992662117996584593
Found probable prime factor of 42 digits: 114846824168515562082170992662117996584593

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovFebruary 1, 2016 09:43:00 UTC 2016 年 2 月 1 日 (月) 18 時 43 分 0 秒 (日本時間)

2×10253-3

c154

composite cofactor 合成数の残り
1248992522419333499123698581448695344737478828512412668818384402522923885388667382015999632616504741999480776022576982484191250418094646922972356561479677<154>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 18, 2016 14:28:05 UTC 2016 年 1 月 18 日 (月) 23 時 28 分 5 秒 (日本時間)
4511e64500600Dmitry DomanovJanuary 19, 2016 06:41:43 UTC 2016 年 1 月 19 日 (火) 15 時 41 分 43 秒 (日本時間)
800Dmitry DomanovMarch 1, 2016 12:48:05 UTC 2016 年 3 月 1 日 (火) 21 時 48 分 5 秒 (日本時間)
3100Lionel DebrouxJanuary 5, 2018 15:48:41 UTC 2018 年 1 月 6 日 (土) 0 時 48 分 41 秒 (日本時間)
5043e6500 / 6515Lionel DebrouxJanuary 5, 2018 15:48:57 UTC 2018 年 1 月 6 日 (土) 0 時 48 分 57 秒 (日本時間)

2×10255-3

c203

composite cofactor 合成数の残り
35193313983241878772909409654237143350040682587614049500989571971638119517366251352910676429922988072935590034354914243910755640008946909667597599924496619894131924525597886102724933976165928840511149851<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovFebruary 1, 2016 09:43:24 UTC 2016 年 2 月 1 日 (月) 18 時 43 分 24 秒 (日本時間)

2×10256-3

c239

composite cofactor 合成数の残り
11736170513172554239730672421677952353407316798741736691072102022537019356557552953779771544570356998077072514807031318753397041237922831189980638719595656613076705645203209309129004738897974536210701254689961139169046842121334188556829833<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovFebruary 1, 2016 09:43:43 UTC 2016 年 2 月 1 日 (月) 18 時 43 分 43 秒 (日本時間)

2×10257-3

c198

composite cofactor 合成数の残り
113182034486072785934551399346770447939203727435277828244753944298496331325973722200132642951490870973864151740379961439735938226445472094629378403671864971729761090937464790705025767964222644094233<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 1, 2016 09:44:02 UTC 2016 年 2 月 1 日 (月) 18 時 44 分 2 秒 (日本時間)
4511e6440 / 4306Dmitry DomanovJanuary 25, 2017 11:06:03 UTC 2017 年 1 月 25 日 (水) 20 時 6 分 3 秒 (日本時間)

2×10258-3

c218

composite cofactor 合成数の残り
35547584487423924491573126413371448425043576076826775752631877769831617706118750656935842890222841594924418151744196261533190151577101693535438605427354755816940181788070975780156382417597322305288010471287228863804771<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovFebruary 1, 2016 09:44:33 UTC 2016 年 2 月 1 日 (月) 18 時 44 分 33 秒 (日本時間)

2×10259-3

c244

composite cofactor 合成数の残り
2824680601962440414576045073909804756643262686767237331063342676745955836836354682016278281094785670968214735949593329244556997186753636402111859094520085717611280857587162149613469293354952028510007805898279398252342797806252914491540313577833<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovFebruary 1, 2016 09:44:50 UTC 2016 年 2 月 1 日 (月) 18 時 44 分 50 秒 (日本時間)

2×10261-3

c248

composite cofactor 合成数の残り
18978338468521512203578701766063936632730172297538979425935188732416509430948207720736933191209133413085367365043785830590694265825373885908351499061471134061678136637233551226569049289067012150432587892228320556048609422911644298086421180097305367<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovFebruary 1, 2016 09:45:07 UTC 2016 年 2 月 1 日 (月) 18 時 45 分 7 秒 (日本時間)

2×10262-3

c183

name 名前Dmitry Domanov
date 日付January 25, 2017 11:54:17 UTC 2017 年 1 月 25 日 (水) 20 時 54 分 17 秒 (日本時間)
composite number 合成数
432625622601315170583639528453896207309581970772818920410795776152865073313444680099265532393948647276248665938322747795413242825411627659006215525454095152640854166914811908632728009<183>
prime factors 素因数
6864943625449705610845840921566348705671<40>
63019544836098333972537912468863875867713048495086105773965488269379693351251866099681175137493722036103368012897354648924629311338912830380079<143>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1113409781
Step 1 took 72681ms
********** Factor found in step 1: 6864943625449705610845840921566348705671
Found probable prime factor of 40 digits: 6864943625449705610845840921566348705671
Probable prime cofactor 63019544836098333972537912468863875867713048495086105773965488269379693351251866099681175137493722036103368012897354648924629311338912830380079 has 143 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 1, 2016 09:45:35 UTC 2016 年 2 月 1 日 (月) 18 時 45 分 35 秒 (日本時間)
4511e6450 / 4306Dmitry DomanovJanuary 25, 2017 11:06:42 UTC 2017 年 1 月 25 日 (水) 20 時 6 分 42 秒 (日本時間)

2×10264-3

c192

name 名前Dmitry Domanov
date 日付January 25, 2017 13:17:47 UTC 2017 年 1 月 25 日 (水) 22 時 17 分 47 秒 (日本時間)
composite number 合成数
116536457125961869786611677598746478021346871725474280716078931444244712627576457870390747682958280217927728141461257583062269720293845316940875237189418972512905977734324898740973982974638199<192>
prime factors 素因数
16878969535844604049295101533771923766718061<44>
composite cofactor 合成数の残り
6904240029492447371752248696230162793906516116226862911435323219472925609229595753556636001448981923695829000546703544061622796356797404100126876659<148>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1913695776
Step 1 took 95946ms
Step 2 took 29373ms
********** Factor found in step 2: 16878969535844604049295101533771923766718061
Found probable prime factor of 44 digits: 16878969535844604049295101533771923766718061
Composite cofactor 6904240029492447371752248696230162793906516116226862911435323219472925609229595753556636001448981923695829000546703544061622796356797404100126876659 has 148 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 1, 2016 09:46:20 UTC 2016 年 2 月 1 日 (月) 18 時 46 分 20 秒 (日本時間)
4511e6450 / 4306Dmitry DomanovJanuary 25, 2017 11:07:09 UTC 2017 年 1 月 25 日 (水) 20 時 7 分 9 秒 (日本時間)

2×10266-3

c230

name 名前Dmitry Domanov
date 日付February 1, 2016 10:38:45 UTC 2016 年 2 月 1 日 (月) 19 時 38 分 45 秒 (日本時間)
composite number 合成数
52226956656640227436481225086180179017844533783837361177827595935040316182025371909668607577427029567893167979705185230190952594150028818425033674360564885095828169741091220519686606877619329181647405997640586440732079837306344953<230>
prime factors 素因数
8922241360530682115920773931816301<34>
composite cofactor 合成数の残り
5853569136526233020602902197752917849970024606486250964935850734665388341399114562245309615688054597565784462056841633579552210135193113879245829399435681725260383076259571157201396310939689781053<196>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2315887405
Step 1 took 35839ms
Step 2 took 11543ms
********** Factor found in step 2: 8922241360530682115920773931816301
Found probable prime factor of 34 digits: 8922241360530682115920773931816301

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 1, 2016 09:46:39 UTC 2016 年 2 月 1 日 (月) 18 時 46 分 39 秒 (日本時間)
4511e6600 / 4306Dmitry DomanovJanuary 25, 2017 11:07:50 UTC 2017 年 1 月 25 日 (水) 20 時 7 分 50 秒 (日本時間)

2×10268-3

c218

composite cofactor 合成数の残り
77565667822779798069057352768307209095156106966723727879139359014796877486519590331361057153100313834813892431115027395461282875459374100093867023277069282585551270810917917781215055094537522208486606739992105933207987<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovFebruary 1, 2016 09:47:05 UTC 2016 年 2 月 1 日 (月) 18 時 47 分 5 秒 (日本時間)

2×10269-3

c252

composite cofactor 合成数の残り
702485548604556757378246615192121884684886682922681204323019636544269062356854664242620769562216589091116286391952323407137301249654880903350433505583280767373625121125028189027249419628505375371518317394071690290132595417966111157317003890233090047227<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovFebruary 1, 2016 09:47:23 UTC 2016 年 2 月 1 日 (月) 18 時 47 分 23 秒 (日本時間)

2×10270-3

c271

name 名前Dmitry Domanov
date 日付January 25, 2016 06:12:43 UTC 2016 年 1 月 25 日 (月) 15 時 12 分 43 秒 (日本時間)
composite number 合成数
1999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<271>
prime factors 素因数
5152604875961372678895383823209638258802141<43>
composite cofactor 合成数の残り
388153186232204566535905139077048605377165892219615482022014363144899325290935194004995434756784670559447169364901912720428674174193584194367669961617417406909063280773176714540907253122510598914742964563820086398259464342419617<228>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3095916732
Step 1 took 134970ms
Step 2 took 36179ms
********** Factor found in step 2: 5152604875961372678895383823209638258802141
Found probable prime factor of 43 digits: 5152604875961372678895383823209638258802141

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 18, 2016 21:14:33 UTC 2016 年 1 月 19 日 (火) 6 時 14 分 33 秒 (日本時間)
4511e6800 / 4306Dmitry DomanovJanuary 23, 2016 15:50:17 UTC 2016 年 1 月 24 日 (日) 0 時 50 分 17 秒 (日本時間)

2×10271-3

c220

composite cofactor 合成数の残り
2567306332047037763707872314264237094211179600021832374807197049959342763970740374433433224025719747633438746296989721126225940367683150143258250687910750806187557587870257590278540195798972191087862216084597831190630401<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovFebruary 1, 2016 09:47:49 UTC 2016 年 2 月 1 日 (月) 18 時 47 分 49 秒 (日本時間)

2×10272-3

c262

composite cofactor 合成数の残り
1701345227251848675367280753450934473925697070318313734231722200726816499820037686343136305497364646310010415010151797541173617861528585689958407226074530521184753586443354693470493761860941065042505780808334132516364112323253878630185032996762255024825452332157<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovFebruary 1, 2016 09:48:09 UTC 2016 年 2 月 1 日 (月) 18 時 48 分 9 秒 (日本時間)

2×10273-3

c273

composite cofactor 合成数の残り
117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 18, 2016 21:12:55 UTC 2016 年 1 月 19 日 (火) 6 時 12 分 55 秒 (日本時間)
4511e6800 / 4306Dmitry DomanovJanuary 23, 2016 15:44:51 UTC 2016 年 1 月 24 日 (日) 0 時 44 分 51 秒 (日本時間)

2×10274-3

c275

composite cofactor 合成数の残り
19999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 18, 2016 21:11:45 UTC 2016 年 1 月 19 日 (火) 6 時 11 分 45 秒 (日本時間)
4511e6800Dmitry DomanovJanuary 23, 2016 15:42:48 UTC 2016 年 1 月 24 日 (日) 0 時 42 分 48 秒 (日本時間)
5043e661201000Dmitry DomanovFebruary 12, 2016 20:16:00 UTC 2016 年 2 月 13 日 (土) 5 時 16 分 0 秒 (日本時間)
3200Dmitry DomanovOctober 7, 2016 14:30:03 UTC 2016 年 10 月 7 日 (金) 23 時 30 分 3 秒 (日本時間)
1920Dmitry DomanovOctober 11, 2016 14:28:03 UTC 2016 年 10 月 11 日 (火) 23 時 28 分 3 秒 (日本時間)
5511e7520 / 15530Dmitry DomanovOctober 13, 2016 15:46:05 UTC 2016 年 10 月 14 日 (金) 0 時 46 分 5 秒 (日本時間)

2×10275-3

c233

composite cofactor 合成数の残り
10258149399670556900747172621182756093892967822774615417001421034493014635729285823709623382547619801415962097116709884142250278092182905004190513306030650262246888662827242020780569611187397509665337358495625656679785451372950076937<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovFebruary 1, 2016 09:48:41 UTC 2016 年 2 月 1 日 (月) 18 時 48 分 41 秒 (日本時間)

2×10276-3

c237

composite cofactor 合成数の残り
205533088767684438738173022361580944890291140770128632643362332648257676316060908550163889412808028144066150017726481349659844011814025430739851743638879980942649498400140734656591131053225517470508529787768729591729028584605965999238553<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovFebruary 1, 2016 12:42:27 UTC 2016 年 2 月 1 日 (月) 21 時 42 分 27 秒 (日本時間)

2×10277-3

c268

composite cofactor 合成数の残り
2523016772734567221758896192999037966513958507224826750868755316776110023056413427969137503621760616436295023849137098157827137354935083863965506054431690762719221790957680940239752941181856486981325732028095902520231475753223032601599350752295713555635590160983367253<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovFebruary 1, 2016 13:24:37 UTC 2016 年 2 月 1 日 (月) 22 時 24 分 37 秒 (日本時間)

2×10278-3

c276

composite cofactor 合成数の残り
706713780918727915194346289752650176678445229681978798586572438162544169611307420494699646643109540636042402826855123674911660777385159010600706713780918727915194346289752650176678445229681978798586572438162544169611307420494699646643109540636042402826855123674911660777385159<276>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 18, 2016 21:10:33 UTC 2016 年 1 月 19 日 (火) 6 時 10 分 33 秒 (日本時間)
4511e6800 / 4306Dmitry DomanovJanuary 23, 2016 15:35:20 UTC 2016 年 1 月 24 日 (日) 0 時 35 分 20 秒 (日本時間)

2×10280-3

c243

composite cofactor 合成数の残り
329937793309734928813744480941100942806374219081940340824843216159152992166453253884961371079922763489196292853720960924294570975221886815037995343130353710335512198194681656495056901111348071553499947618970551518776380717028378402566595490347<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovFebruary 1, 2016 13:37:25 UTC 2016 年 2 月 1 日 (月) 22 時 37 分 25 秒 (日本時間)

2×10283-3

c282

composite cofactor 合成数の残り
465116279069767441860465116279069767441860465116279069767441860465116279069767441860465116279069767441860465116279069767441860465116279069767441860465116279069767441860465116279069767441860465116279069767441860465116279069767441860465116279069767441860465116279069767441860465116279<282>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 18, 2016 21:08:49 UTC 2016 年 1 月 19 日 (火) 6 時 8 分 49 秒 (日本時間)
4511e6800 / 4306Dmitry DomanovJanuary 22, 2016 22:31:31 UTC 2016 年 1 月 23 日 (土) 7 時 31 分 31 秒 (日本時間)

2×10284-3

c279

composite cofactor 合成数の残り
116057952377940400759715356265997863373096722117222013640291142979335301289345821942728882240057750437103263143418034361277960536814452928925529673987408872746517245921578480998701891802652736617502583740164813898171913163118871777433343565776134655078666981570577452144954061361<279>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 21, 2016 17:55:30 UTC 2016 年 1 月 22 日 (金) 2 時 55 分 30 秒 (日本時間)
4511e6800 / 4306Dmitry DomanovJanuary 22, 2016 22:29:20 UTC 2016 年 1 月 23 日 (土) 7 時 29 分 20 秒 (日本時間)

2×10285-3

c266

composite cofactor 合成数の残り
64493990787482056968697594429714878562702954130851149270981699159595628303748069263513718275265151194065045537886207368161974430190483369831836607645686932794401438389459499136903923202641156887701398053846361214784552071102476026354515077565497041560919153683517529<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovFebruary 1, 2016 13:47:59 UTC 2016 年 2 月 1 日 (月) 22 時 47 分 59 秒 (日本時間)

2×10286-3

c274

composite cofactor 合成数の残り
1392633563131371999145189903550467213403386366829813671386161335755529187759266608696019181986618730643306936079024145538953399068863918759402121456811052899078173180475153052278007250413121985450211319749152929645428445905436431998711019242747199156086447939674673100704857<274>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovFebruary 1, 2016 13:48:20 UTC 2016 年 2 月 1 日 (月) 22 時 48 分 20 秒 (日本時間)

2×10287-3

c267

composite cofactor 合成数の残り
438052051275690038891853996938774260300984534243798373838310348764058341644200141853935584001622299047635752723458778968663667132243368879471103630553392190235930198443617128323422683425141137162021243809371024188600582761184224548003326647559221428230590431508958697<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovFebruary 1, 2016 13:48:38 UTC 2016 年 2 月 1 日 (月) 22 時 48 分 38 秒 (日本時間)

2×10288-3

c232

composite cofactor 合成数の残り
3520091107816912666294661778819565982844736156362145239683743416197398303370556038312158522871593972118608144013018486148099893531970182195775864322053054962993931402852832148117461477315762028170943548539508431127133510742891382009<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovFebruary 1, 2016 18:46:45 UTC 2016 年 2 月 2 日 (火) 3 時 46 分 45 秒 (日本時間)

2×10289-3

c278

composite cofactor 合成数の残り
24494323386206629526207376681966871611138974640041734922241168120446326708935883249102359378024600251946177819265907126190828896132955262155790935897782865477527516504875003409030677701400207051206568467364274049889402762164014405902862747380875046750545485477461511480185928701<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovFebruary 1, 2016 13:48:58 UTC 2016 年 2 月 1 日 (月) 22 時 48 分 58 秒 (日本時間)

2×10290-3

c253

composite cofactor 合成数の残り
4306260903150052440936329403877273864628342969792275136386049686717422625570989428196463027559756065432777751954159398858196579889273684783199902141148240709628347773839939812915128703557254269606296116695281457412203043858193244131782087025408669903777<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovFebruary 1, 2016 13:49:20 UTC 2016 年 2 月 1 日 (月) 22 時 49 分 20 秒 (日本時間)

2×10291-3

c225

composite cofactor 合成数の残り
354956460865731135104339401312312179877894157219427136203745756865682996633043983918548368374461931337553106174783431176662358105292083741251364296197743383192564083526168599843083950801690045677360724704342758425102425491609<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovFebruary 1, 2016 14:17:37 UTC 2016 年 2 月 1 日 (月) 23 時 17 分 37 秒 (日本時間)

2×10292-3

c246

composite cofactor 合成数の残り
300466265046572374941822135935243670268461654402605791742773103662128329576161060206909759574148842662278011455987287754046249743450786838439538319498503309257471670207445141305171005617100504060478053426581078719823375870332485689369614654883747<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovFebruary 1, 2016 14:16:13 UTC 2016 年 2 月 1 日 (月) 23 時 16 分 13 秒 (日本時間)

2×10295-3

c275

composite cofactor 合成数の残り
12436921303225895943871151883310393434653995619856452980927781318301997578838599026677924056302438078470008485861107212166756582997784098141581073946786015742409786466056227203337573996780776852257567844096292769221747910677337581149112857609399505301908090439013231032204527<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovFebruary 1, 2016 14:17:00 UTC 2016 年 2 月 1 日 (月) 23 時 17 分 0 秒 (日本時間)

2×10296-3

c277

composite cofactor 合成数の残り
7037856291796028551484237558729885121430072167368393177752233389934961672176700293214287687853251744413311956914955051259704538509091569519327566031088658360867515725158863749905428407668786270686206721878651986272327384173572918634407040283241301144994894576225866632595713519<277>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovFebruary 1, 2016 14:17:17 UTC 2016 年 2 月 1 日 (月) 23 時 17 分 17 秒 (日本時間)

2×10298-3

c244

name 名前Dmitry Domanov
date 日付February 2, 2016 06:20:17 UTC 2016 年 2 月 2 日 (火) 15 時 20 分 17 秒 (日本時間)
composite number 合成数
1672925187156960077256559745330560846885056626516981513565418684705033779229855383871783566449916316631719413585499393978575287227965661527023231713510589270331676927936187763586480319768887100632278287488794730651716834710835325614447471145273<244>
prime factors 素因数
169957026869524424076227773225045718177839996007<48>
composite cofactor 合成数の残り
9843224596069572783099915591998804289375496063669546251447684757455911981391515608262225321940635077175884921494272539555017862696032608573388782308438208359254410110248224986566541221638269043039<196>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1635715563
Step 1 took 30024ms
Step 2 took 9536ms
********** Factor found in step 2: 169957026869524424076227773225045718177839996007
Found probable prime factor of 48 digits: 169957026869524424076227773225045718177839996007

c196

name 名前Dmitry Domanov
date 日付February 3, 2016 07:06:16 UTC 2016 年 2 月 3 日 (水) 16 時 6 分 16 秒 (日本時間)
composite number 合成数
9843224596069572783099915591998804289375496063669546251447684757455911981391515608262225321940635077175884921494272539555017862696032608573388782308438208359254410110248224986566541221638269043039<196>
prime factors 素因数
1083207009498626004969667918104804961738228463<46>
9087113090807651786458229072211718884977189730820859344553089884682911423131818142322485651928348668069731391109157910491321256796471287174315726481553<151>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2177254018
Step 1 took 24176ms
Step 2 took 8943ms
********** Factor found in step 2: 1083207009498626004969667918104804961738228463
Found probable prime factor of 46 digits: 1083207009498626004969667918104804961738228463

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 1, 2016 14:16:43 UTC 2016 年 2 月 1 日 (月) 23 時 16 分 43 秒 (日本時間)
4511e6800 / 4306Dmitry DomanovFebruary 3, 2016 06:21:20 UTC 2016 年 2 月 3 日 (水) 15 時 21 分 20 秒 (日本時間)

2×10300-3

c263

composite cofactor 合成数の残り
18796906017419266511467614602808510862047927010306924979691951622443201290792075631098295173090978049984397176659965875198882458456226732995556884815064831391835774848893864445097467462271707558090047717905847584911654787962872848438294099248659105859595607354089<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovJanuary 19, 2016 09:30:50 UTC 2016 年 1 月 19 日 (火) 18 時 30 分 50 秒 (日本時間)
4511e61200Dmitry DomanovJanuary 19, 2016 14:07:58 UTC 2016 年 1 月 19 日 (火) 23 時 7 分 58 秒 (日本時間)
5043e6600 / 6944Dmitry DomanovJanuary 20, 2016 13:21:54 UTC 2016 年 1 月 20 日 (水) 22 時 21 分 54 秒 (日本時間)
5511e7120 / 17470Dmitry DomanovJanuary 22, 2016 14:28:47 UTC 2016 年 1 月 22 日 (金) 23 時 28 分 47 秒 (日本時間)