Table of contents 目次

14×10104+319

c91

name 名前Jo Yeong Uk
date 日付April 2, 2008 15:03:16 UTC 2008 年 4 月 3 日 (木) 0 時 3 分 16 秒 (日本時間)
composite number 合成数
7653111766905052625714127478056069869442270615205235958642237021066340455316087033400214209<91>
prime factors 素因数
6123112702612974422656257278677<31>
1249872758938303891586631981770280688173300314576830254317117<61>
factorization results 素因数分解の結果
Number: 15559_104
N=7653111766905052625714127478056069869442270615205235958642237021066340455316087033400214209
  ( 91 digits)
SNFS difficulty: 105 digits.
Divisors found:
 r1=6123112702612974422656257278677 (pp31)
 r2=1249872758938303891586631981770280688173300314576830254317117 (pp61)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.41 hours.
Scaled time: 0.87 units (timescale=2.135).
Factorization parameters were as follows:
n: 7653111766905052625714127478056069869442270615205235958642237021066340455316087033400214209
m: 1000000000000000000000
c5: 7
c0: 155
skew: 1.86
type: snfs
Factor base limits: 360000/360000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [180000, 260001)
Primes: RFBsize:30757, AFBsize:30265, largePrimes:962732 encountered
Relations: rels:875648, finalFF:78657
Max relations in full relation-set: 28
Initial matrix: 61087 x 78657 with sparse part having weight 3216591.
Pruned matrix : 52909 x 53278 with weight 1608056.
Total sieving time: 0.39 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,105,5,0,0,0,0,0,0,0,0,360000,360000,25,25,44,44,2.2,2.2,20000
total time: 0.41 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: 8167492k/8912896k available (2127k kernel code, 0k reserved, 1314k data, 212k init)
Calibrating delay using timer specific routine.. 4815.33 BogoMIPS (lpj=2407668)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Total of 4 processors activated (19246.08 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

14×10109+319

c101

name 名前Jo Yeong Uk
date 日付April 2, 2008 15:48:21 UTC 2008 年 4 月 3 日 (木) 0 時 48 分 21 秒 (日本時間)
composite number 合成数
14795570666960928585241814337133228280279517122079409846942244753399146743476713502376399618540301153<101>
prime factors 素因数
9501681575912170966662527503987525172261786003<46>
1557152862759509908452930886474382752596857671286405051<55>
factorization results 素因数分解の結果
Number: 15559_109
N=14795570666960928585241814337133228280279517122079409846942244753399146743476713502376399618540301153
  ( 101 digits)
SNFS difficulty: 110 digits.
Divisors found:
 r1=9501681575912170966662527503987525172261786003 (pp46)
 r2=1557152862759509908452930886474382752596857671286405051 (pp55)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.67 hours.
Scaled time: 1.44 units (timescale=2.146).
Factorization parameters were as follows:
n: 14795570666960928585241814337133228280279517122079409846942244753399146743476713502376399618540301153
m: 10000000000000000000000
c5: 7
c0: 155
skew: 1.86
type: snfs
Factor base limits: 360000/360000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [180000, 320001)
Primes: RFBsize:30757, AFBsize:30265, largePrimes:1063994 encountered
Relations: rels:991255, finalFF:96554
Max relations in full relation-set: 28
Initial matrix: 61087 x 96554 with sparse part having weight 4661689.
Pruned matrix : 51141 x 51510 with weight 1737634.
Total sieving time: 0.65 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,110,5,0,0,0,0,0,0,0,0,360000,360000,25,25,44,44,2.2,2.2,20000
total time: 0.67 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: 8167492k/8912896k available (2127k kernel code, 0k reserved, 1314k data, 212k init)
Calibrating delay using timer specific routine.. 4815.33 BogoMIPS (lpj=2407668)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Total of 4 processors activated (19246.08 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

14×10110+319

c104

name 名前Jo Yeong Uk
date 日付April 2, 2008 16:28:38 UTC 2008 年 4 月 3 日 (木) 1 時 28 分 38 秒 (日本時間)
composite number 合成数
45554290122453511114807516366761624584426921010585482934533181273112904583513232105843701083030470516271<104>
prime factors 素因数
1303282840472408036468985773035703330564633891<46>
34953494903639795656060613382861445837052916896715844002181<59>
factorization results 素因数分解の結果
Number: 15559_110
N=45554290122453511114807516366761624584426921010585482934533181273112904583513232105843701083030470516271
  ( 104 digits)
SNFS difficulty: 111 digits.
Divisors found:
 r1=1303282840472408036468985773035703330564633891 (pp46)
 r2=34953494903639795656060613382861445837052916896715844002181 (pp59)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.60 hours.
Scaled time: 1.27 units (timescale=2.130).
Factorization parameters were as follows:
n: 45554290122453511114807516366761624584426921010585482934533181273112904583513232105843701083030470516271
m: 10000000000000000000000
c5: 14
c0: 31
skew: 1.17
type: snfs
Factor base limits: 360000/360000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [180000, 300001)
Primes: RFBsize:30757, AFBsize:30605, largePrimes:979923 encountered
Relations: rels:884896, finalFF:73064
Max relations in full relation-set: 28
Initial matrix: 61428 x 73064 with sparse part having weight 3324838.
Pruned matrix : 56970 x 57341 with weight 2019227.
Total sieving time: 0.57 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,111,5,0,0,0,0,0,0,0,0,360000,360000,25,25,44,44,2.2,2.2,20000
total time: 0.60 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: 8167492k/8912896k available (2127k kernel code, 0k reserved, 1314k data, 212k init)
Calibrating delay using timer specific routine.. 4815.33 BogoMIPS (lpj=2407668)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Total of 4 processors activated (19246.08 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

14×10112+319

c102

name 名前Jo Yeong Uk
date 日付April 2, 2008 23:22:48 UTC 2008 年 4 月 3 日 (木) 8 時 22 分 48 秒 (日本時間)
composite number 合成数
123523689370341250516149913321329516008019385631608532341465796759702347383365229527627429013246024337<102>
prime factors 素因数
6092182038573200834431033938985160341<37>
20275771240622793997064761967146282229636836482089466349375858957<65>
factorization results 素因数分解の結果
Number: 15559_112
N=123523689370341250516149913321329516008019385631608532341465796759702347383365229527627429013246024337
  ( 102 digits)
SNFS difficulty: 113 digits.
Divisors found:
 r1=6092182038573200834431033938985160341 (pp37)
 r2=20275771240622793997064761967146282229636836482089466349375858957 (pp65)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.81 hours.
Scaled time: 1.72 units (timescale=2.135).
Factorization parameters were as follows:
n: 123523689370341250516149913321329516008019385631608532341465796759702347383365229527627429013246024337
m: 20000000000000000000000
c5: 175
c0: 124
skew: 0.93
type: snfs
Factor base limits: 450000/450000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [225000, 375001)
Primes: RFBsize:37706, AFBsize:37740, largePrimes:1287788 encountered
Relations: rels:1247576, finalFF:110750
Max relations in full relation-set: 28
Initial matrix: 75513 x 110750 with sparse part having weight 8140654.
Pruned matrix : 67086 x 67527 with weight 3384017.
Total sieving time: 0.77 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,113,5,0,0,0,0,0,0,0,0,450000,450000,25,25,44,44,2.3,2.3,25000
total time: 0.81 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: 8167492k/8912896k available (2127k kernel code, 0k reserved, 1314k data, 212k init)
Calibrating delay using timer specific routine.. 4815.33 BogoMIPS (lpj=2407668)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Total of 4 processors activated (19246.08 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

14×10115+319

c97

name 名前Jo Yeong Uk
date 日付April 2, 2008 23:23:52 UTC 2008 年 4 月 3 日 (木) 8 時 23 分 52 秒 (日本時間)
composite number 合成数
4743012819621551624636543784883103395485170841183928305043751488713980500978238376905549993126747<97>
prime factors 素因数
467835898086147901719587583613501434971<39>
10138197686463485465002382573752151496026773591252758195457<59>
factorization results 素因数分解の結果
Number: 15559_115
N=4743012819621551624636543784883103395485170841183928305043751488713980500978238376905549993126747
  ( 97 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=467835898086147901719587583613501434971 (pp39)
 r2=10138197686463485465002382573752151496026773591252758195457 (pp59)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.75 hours.
Scaled time: 1.60 units (timescale=2.122).
Factorization parameters were as follows:
n: 4743012819621551624636543784883103395485170841183928305043751488713980500978238376905549993126747
m: 100000000000000000000000
c5: 14
c0: 31
skew: 1.17
type: snfs
Factor base limits: 450000/450000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [225000, 375001)
Primes: RFBsize:37706, AFBsize:37565, largePrimes:1292652 encountered
Relations: rels:1256566, finalFF:114016
Max relations in full relation-set: 28
Initial matrix: 75337 x 114016 with sparse part having weight 8559587.
Pruned matrix : 66510 x 66950 with weight 3395592.
Total sieving time: 0.71 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,116,5,0,0,0,0,0,0,0,0,450000,450000,25,25,44,44,2.3,2.3,25000
total time: 0.75 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: 8167492k/8912896k available (2127k kernel code, 0k reserved, 1314k data, 212k init)
Calibrating delay using timer specific routine.. 4815.33 BogoMIPS (lpj=2407668)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Total of 4 processors activated (19246.08 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

14×10120+319

c110

name 名前Sinkiti Sibata
date 日付April 3, 2008 02:25:14 UTC 2008 年 4 月 3 日 (木) 11 時 25 分 14 秒 (日本時間)
composite number 合成数
16945389665412174607218409292531530192930180494329638763325905364366947215583860888478225208800730066514576193<110>
prime factors 素因数
1421577012344853500890676274711460113354683750921<49>
11920134834947284852618265683350810943104485024229298831379833<62>
factorization results 素因数分解の結果
Number: 15559_120
N=16945389665412174607218409292531530192930180494329638763325905364366947215583860888478225208800730066514576193
  ( 110 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=1421577012344853500890676274711460113354683750921 (pp49)
 r2=11920134834947284852618265683350810943104485024229298831379833 (pp62)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 2.59 hours.
Scaled time: 1.75 units (timescale=0.675).
Factorization parameters were as follows:
name: 15559_120
n: 16945389665412174607218409292531530192930180494329638763325905364366947215583860888478225208800730066514576193
m: 1000000000000000000000000
c5: 14
c0: 31
skew: 1.17
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 600001)
Primes: RFBsize:49098, AFBsize:63629, largePrimes:2164814 encountered
Relations: rels:2280226, finalFF:244401
Max relations in full relation-set: 28
Initial matrix: 112793 x 244401 with sparse part having weight 22393749.
Pruned matrix : 86473 x 87100 with weight 5524265.
Total sieving time: 2.35 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.59 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

14×10122+319

c120

name 名前Robert Backstrom
date 日付April 2, 2008 19:04:04 UTC 2008 年 4 月 3 日 (木) 4 時 4 分 4 秒 (日本時間)
composite number 合成数
330266572304788865298419438546827081858928992686954470393960839820712432177400330266572304788865298419438546827081858929<120>
prime factors 素因数
10603836885495071034474476095145129<35>
31145949892586395406949575512425987474943569710446787657049654966993983919833639672201<86>
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 330266572304788865298419438546827081858928992686954470393960839820712432177400330266572304788865298419438546827081858929 (120 digits)
Using B1=980000, B2=815727516, polynomial Dickson(3), sigma=4089034444
Step 1 took 11578ms
Step 2 took 7000ms
********** Factor found in step 2: 10603836885495071034474476095145129
Found probable prime factor of 35 digits: 10603836885495071034474476095145129
Probable prime cofactor 31145949892586395406949575512425987474943569710446787657049654966993983919833639672201 has 86 digits

14×10129+319

c110

name 名前Sinkiti Sibata
date 日付April 3, 2008 09:00:47 UTC 2008 年 4 月 3 日 (木) 18 時 0 分 47 秒 (日本時間)
composite number 合成数
19172283068325806568537723586178607998494065432808843189221587559772708200225606297331105435664949712841064491<110>
prime factors 素因数
4707523717355474776435082396044989377741827<43>
4072689638852448957226819815433219768108727767837548269928546344633<67>
factorization results 素因数分解の結果
Number: 15559_129
N=19172283068325806568537723586178607998494065432808843189221587559772708200225606297331105435664949712841064491
  ( 110 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=4707523717355474776435082396044989377741827 (pp43)
 r2=4072689638852448957226819815433219768108727767837548269928546344633 (pp67)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 6.23 hours.
Scaled time: 4.21 units (timescale=0.675).
Factorization parameters were as follows:
name: 15559_129
n: 19172283068325806568537723586178607998494065432808843189221587559772708200225606297331105435664949712841064491
m: 100000000000000000000000000
c5: 7
c0: 155
skew: 1.86
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 1050001)
Primes: RFBsize:63951, AFBsize:63449, largePrimes:1489289 encountered
Relations: rels:1474945, finalFF:157286
Max relations in full relation-set: 28
Initial matrix: 127465 x 157286 with sparse part having weight 12062069.
Pruned matrix : 118994 x 119695 with weight 7467431.
Total sieving time: 5.86 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.24 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,130,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 6.23 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

14×10130+319

c100

name 名前Sinkiti Sibata
date 日付April 4, 2008 21:44:25 UTC 2008 年 4 月 5 日 (土) 6 時 44 分 25 秒 (日本時間)
composite number 合成数
2586650188811753255072196313522140231922638767244339815312972931926665126576983403300759137406015507<100>
prime factors 素因数
223052339348662090783561338193275827047<39>
11596606412490730336161701177308159280832170437567286305560181<62>
factorization results 素因数分解の結果
Number: 15559_130
N=2586650188811753255072196313522140231922638767244339815312972931926665126576983403300759137406015507
  ( 100 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=223052339348662090783561338193275827047 (pp39)
 r2=11596606412490730336161701177308159280832170437567286305560181 (pp62)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 6.44 hours.
Scaled time: 4.35 units (timescale=0.675).
Factorization parameters were as follows:
name: 15559_130
n: 2586650188811753255072196313522140231922638767244339815312972931926665126576983403300759137406015507
m: 100000000000000000000000000
c5: 14
c0: 31
skew: 1.17
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 1050001)
Primes: RFBsize:63951, AFBsize:63629, largePrimes:1507105 encountered
Relations: rels:1507107, finalFF:169181
Max relations in full relation-set: 28
Initial matrix: 127646 x 169181 with sparse part having weight 13212589.
Pruned matrix : 116035 x 116737 with weight 7300210.
Total sieving time: 6.08 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.23 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 6.44 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

14×10134+319

c105

name 名前Sinkiti Sibata
date 日付April 5, 2008 08:44:32 UTC 2008 年 4 月 5 日 (土) 17 時 44 分 32 秒 (日本時間)
composite number 合成数
360343976541436324001467268397547805706577207259650798154874784983464628358958156247401923595203099118773<105>
prime factors 素因数
1306557661964407021017588295478647094717<40>
275796458917595587577783322712081943077119699195249979743129914969<66>
factorization results 素因数分解の結果
Number: 15559_134
N=360343976541436324001467268397547805706577207259650798154874784983464628358958156247401923595203099118773
  ( 105 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=1306557661964407021017588295478647094717 (pp40)
 r2=275796458917595587577783322712081943077119699195249979743129914969 (pp66)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 10.14 hours.
Scaled time: 6.84 units (timescale=0.674).
Factorization parameters were as follows:
name: 15559_134
n: 360343976541436324001467268397547805706577207259650798154874784983464628358958156247401923595203099118773
m: 1000000000000000000000000000
c5: 7
c0: 155
skew: 1.86
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1450001)
Primes: RFBsize:78498, AFBsize:63449, largePrimes:1554550 encountered
Relations: rels:1547172, finalFF:162708
Max relations in full relation-set: 28
Initial matrix: 142012 x 162708 with sparse part having weight 14524899.
Pruned matrix : 135927 x 136701 with weight 10750022.
Total sieving time: 9.55 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.43 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,135,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 10.14 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

14×10138+319

c107

name 名前Sinkiti Sibata
date 日付April 4, 2008 07:22:30 UTC 2008 年 4 月 4 日 (金) 16 時 22 分 30 秒 (日本時間)
composite number 合成数
24297418098835928184871286994621343003982194045684419344835498431243228852905498778636408028046235793839717<107>
prime factors 素因数
18889071044965985559683161450105284079<38>
1286321494635454249284329017256606479419057950477955932294681889062123<70>
factorization results 素因数分解の結果
Number: 15559_138
N=24297418098835928184871286994621343003982194045684419344835498431243228852905498778636408028046235793839717
  ( 107 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=18889071044965985559683161450105284079 (pp38)
 r2=1286321494635454249284329017256606479419057950477955932294681889062123 (pp70)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 21.58 hours.
Scaled time: 14.57 units (timescale=0.675).
Factorization parameters were as follows:
name: 15559_138
n: 24297418098835928184871286994621343003982194045684419344835498431243228852905498778636408028046235793839717
m: 2000000000000000000000000000
c5: 875
c0: 62
skew: 0.59
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 2800001)
Primes: RFBsize:78498, AFBsize:63759, largePrimes:1746679 encountered
Relations: rels:1808224, finalFF:167624
Max relations in full relation-set: 28
Initial matrix: 142323 x 167624 with sparse part having weight 20269469.
Pruned matrix : 136875 x 137650 with weight 15512291.
Total sieving time: 20.76 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.59 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,139,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 21.58 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

14×10140+319

c132

name 名前Robert Backstrom
date 日付April 3, 2008 08:47:05 UTC 2008 年 4 月 3 日 (木) 17 時 47 分 5 秒 (日本時間)
composite number 合成数
156429452288643464911081002531058371361509167836384377115150014761470851983993732172191342450556465613504105350691617341742398323867<132>
prime factors 素因数
3145814278159836132977122915782215478379<40>
136993138600366227200200711944926574507283<42>
362983287496566443500422296301603020385805008326731<51>
factorization results 素因数分解の結果
Number: n
N=156429452288643464911081002531058371361509167836384377115150014761470851983993732172191342450556465613504105350691617341742398323867
  ( 132 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=3145814278159836132977122915782215478379 (pp40)
 r2=136993138600366227200200711944926574507283 (pp42)
 r3=362983287496566443500422296301603020385805008326731 (pp51)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 7.22 hours.
Scaled time: 12.66 units (timescale=1.752).
Factorization parameters were as follows:
name: KA_1_5_139_9
n: 156429452288643464911081002531058371361509167836384377115150014761470851983993732172191342450556465613504105350691617341742398323867
type: snfs
skew: 1.17
deg: 5
c5: 14
c0: 31
m: 10000000000000000000000000000
rlim: 2000000
alim: 2000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 50000
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, 950001)
Primes: RFBsize:148933, AFBsize:148581, largePrimes:5725582 encountered
Relations: rels:5089339, finalFF:358359
Max relations in full relation-set: 28
Initial matrix: 297580 x 358359 with sparse part having weight 19209340.
Pruned matrix : 245434 x 246985 with weight 10431835.
Total sieving time: 6.09 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.87 hours.
Total square root time: 0.12 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,2000000,2000000,28,28,48,48,2.3,2.3,100000
total time: 7.22 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

14×10146+319

c106

name 名前Jo Yeong Uk
date 日付April 3, 2008 09:44:37 UTC 2008 年 4 月 3 日 (木) 18 時 44 分 37 秒 (日本時間)
composite number 合成数
3347852800677986669372738417402636472582245561438340610458401501686074563594432546426620601309782766901973<106>
prime factors 素因数
788446662848643115165841844345577532321<39>
4246137320921946481553619461943257958828954529607621070878133125813<67>
factorization results 素因数分解の結果
Number: 15559_146
N=3347852800677986669372738417402636472582245561438340610458401501686074563594432546426620601309782766901973
  ( 106 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=788446662848643115165841844345577532321 (pp39)
 r2=4246137320921946481553619461943257958828954529607621070878133125813 (pp67)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 9.94 hours.
Scaled time: 21.33 units (timescale=2.145).
Factorization parameters were as follows:
n: 3347852800677986669372738417402636472582245561438340610458401501686074563594432546426620601309782766901973
m: 100000000000000000000000000000
c5: 140
c0: 31
skew: 0.74
type: snfs
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1575001)
Primes: RFBsize:135072, AFBsize:134614, largePrimes:3693349 encountered
Relations: rels:3686817, finalFF:304236
Max relations in full relation-set: 28
Initial matrix: 269753 x 304236 with sparse part having weight 27282670.
Pruned matrix : 256253 x 257665 with weight 20349781.
Total sieving time: 9.58 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.27 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,48,48,2.3,2.3,75000
total time: 9.94 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: 8167492k/8912896k available (2127k kernel code, 0k reserved, 1314k data, 212k init)
Calibrating delay using timer specific routine.. 4815.33 BogoMIPS (lpj=2407668)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Total of 4 processors activated (19246.08 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

14×10147+319

c133

name 名前Robert Backstrom
date 日付April 3, 2008 07:07:58 UTC 2008 年 4 月 3 日 (木) 16 時 7 分 58 秒 (日本時間)
composite number 合成数
1991551121703915521973268759861123858251818753779420180747162813297499202475299406603325656412532341102863504788037127092669012462921<133>
prime factors 素因数
48666565188027890092729966818877889<35>
40922368653085930485059904571405162735697559903875161667841200639610533122749207940850079133777289<98>
factorization results 素因数分解の結果
GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 1991551121703915521973268759861123858251818753779420180747162813297499202475299406603325656412532341102863504788037127092669012462921 (133 digits)
Using B1=1728000, B2=1830229701, polynomial Dickson(6), sigma=67868540
Step 1 took 15616ms
Step 2 took 8401ms
********** Factor found in step 2: 48666565188027890092729966818877889
Found probable prime factor of 35 digits: 48666565188027890092729966818877889
Probable prime cofactor 40922368653085930485059904571405162735697559903875161667841200639610533122749207940850079133777289 has 98 digits

14×10148+319

c114

name 名前JMB
date 日付April 3, 2008 04:47:52 UTC 2008 年 4 月 3 日 (木) 13 時 47 分 52 秒 (日本時間)
composite number 合成数
535280139440636948401559310252950371356735826752504076122248519989185083201869449574101192378019855828053252177431<114>
prime factors 素因数
2499113539947715325949124365216803<34>
214188003419738864023748273782105619197066640540736946746378416198577330759441277<81>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(12), sigma=3304108163
Step 1 took 30953ms
Step 2 took 21579ms
********** Factor found in step 2: 2499113539947715325949124365216803
Found probable prime factor of 34 digits: 2499113539947715325949124365216803
Probable prime cofactor 214188003419738864023748273782105619197066640540736946746378416198577330759441277 has 81 digits
software ソフトウェア
GMP-ECM 6.3
execution environment 実行環境
WinXP 3.4ghz P4

14×10150+319

c130

name 名前Robert Backstrom
date 日付April 3, 2008 08:34:48 UTC 2008 年 4 月 3 日 (木) 17 時 34 分 48 秒 (日本時間)
composite number 合成数
2167276186332709505732729637726798747457939097851641704942700564300028133875050345511818768550737450787997292268421854529694879689<130>
prime factors 素因数
335061822392136720484534754789419<33>
6468287466652218202909758335139916011634361647250202124939424960816497412784711946727546397178331<97>
factorization results 素因数分解の結果
GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 2167276186332709505732729637726798747457939097851641704942700564300028133875050345511818768550737450787997292268421854529694879689 (130 digits)
Using B1=800000, B2=610894590, polynomial Dickson(3), sigma=770665858
Step 1 took 7247ms
Step 2 took 3764ms
********** Factor found in step 2: 335061822392136720484534754789419
Found probable prime factor of 33 digits: 335061822392136720484534754789419
Probable prime cofactor 6468287466652218202909758335139916011634361647250202124939424960816497412784711946727546397178331 has 97 digits

14×10152+319

c107

name 名前Sinkiti Sibata
date 日付April 7, 2008 20:27:24 UTC 2008 年 4 月 8 日 (火) 5 時 27 分 24 秒 (日本時間)
composite number 合成数
17195646150667874950992453422444333642975476026069684108426569369939091078615552957010779914767445808166291<107>
prime factors 素因数
111313093274540417476741014421320134743<39>
154479995522690870591367172547336505227910968599671963282858372345637<69>
factorization results 素因数分解の結果
Number: 15559_152
N=17195646150667874950992453422444333642975476026069684108426569369939091078615552957010779914767445808166291
  ( 107 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=111313093274540417476741014421320134743 (pp39)
 r2=154479995522690870591367172547336505227910968599671963282858372345637 (pp69)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 51.75 hours.
Scaled time: 34.93 units (timescale=0.675).
Factorization parameters were as follows:
name: 15559_152
n: 17195646150667874950992453422444333642975476026069684108426569369939091078615552957010779914767445808166291
m: 1000000000000000000000000000000
c5: 1400
c0: 31
skew: 0.47
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, 2600001)
Primes: RFBsize:176302, AFBsize:175914, largePrimes:5759456 encountered
Relations: rels:5717101, finalFF:466652
Max relations in full relation-set: 28
Initial matrix: 352283 x 466652 with sparse part having weight 48829191.
Pruned matrix : 312843 x 314668 with weight 30625407.
Total sieving time: 46.57 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 4.73 hours.
Time per square root: 0.17 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: 51.75 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

14×10153+319

c130

name 名前Robert Backstrom
date 日付April 7, 2008 00:52:10 UTC 2008 年 4 月 7 日 (月) 9 時 52 分 10 秒 (日本時間)
composite number 合成数
1995283084362275608981993720845150085222935999336634693921193036336245407655677090547930521602073409192525797082004482958348510527<130>
prime factors 素因数
12618987396929809067039217391491187497627561020701168808432897<62>
158117527310291680588589078011395917240084089263123655628504089737791<69>
factorization results 素因数分解の結果
Number: n
N=1995283084362275608981993720845150085222935999336634693921193036336245407655677090547930521602073409192525797082004482958348510527
  ( 130 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=12618987396929809067039217391491187497627561020701168808432897 (pp62)
 r2=158117527310291680588589078011395917240084089263123655628504089737791 (pp69)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 21.43 hours.
Scaled time: 39.19 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_1_5_152_9
n: 1995283084362275608981993720845150085222935999336634693921193036336245407655677090547930521602073409192525797082004482958348510527
skew: 0.59
deg: 5
c5: 875
c0: 62
m: 2000000000000000000000000000000
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:183212, largePrimes:7007383 encountered
Relations: rels:6444936, finalFF:443762
Max relations in full relation-set: 48
Initial matrix: 366350 x 443762 with sparse part having weight 44001931.
Pruned matrix : 316482 x 318377 with weight 26418976.
Total sieving time: 19.91 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 0.94 hours.
Total square root time: 0.41 hours, sqrts: 8.
Prototype def-par.txt line would be:
snfs,154,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,100000
total time: 21.43 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

14×10155+319

c130

name 名前Jo Yeong Uk
date 日付April 3, 2008 03:04:03 UTC 2008 年 4 月 3 日 (木) 12 時 4 分 3 秒 (日本時間)
composite number 合成数
6120076706711622875075575924966921720421073940043513255790267571504875260179454754917161769791927942133901997027368885152800965589<130>
prime factors 素因数
7674360746381837411521751272723<31>
797470552787996185165803170580988931064736161642896696883978483018377247210575889135871920756199543<99>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 6120076706711622875075575924966921720421073940043513255790267571504875260179454754917161769791927942133901997027368885152800965589 (130 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=284805434
Step 1 took 6746ms
Step 2 took 3829ms
********** Factor found in step 2: 7674360746381837411521751272723
Found probable prime factor of 31 digits: 7674360746381837411521751272723
Probable prime cofactor 797470552787996185165803170580988931064736161642896696883978483018377247210575889135871920756199543 has 99 digits
execution environment 実行環境
Core 2 Quad Q6600

14×10156+319

c126

name 名前Jo Yeong Uk
date 日付April 5, 2008 16:08:05 UTC 2008 年 4 月 6 日 (日) 1 時 8 分 5 秒 (日本時間)
composite number 合成数
325448861240618282863068539156450995311385946677891062779075151268243362097776381667860754237370696771018560283140022355213079<126>
prime factors 素因数
181595105240033914022977640506121267719<39>
1792167585191447108689726343859434077154164335650452972726213569904570307167543559971441<88>
factorization results 素因数分解の結果
Number: 15559_156
N=325448861240618282863068539156450995311385946677891062779075151268243362097776381667860754237370696771018560283140022355213079
  ( 126 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=181595105240033914022977640506121267719 (pp39)
 r2=1792167585191447108689726343859434077154164335650452972726213569904570307167543559971441 (pp88)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 24.96 hours.
Scaled time: 53.59 units (timescale=2.147).
Factorization parameters were as follows:
n: 325448861240618282863068539156450995311385946677891062779075151268243362097776381667860754237370696771018560283140022355213079
m: 10000000000000000000000000000000
c5: 140
c0: 31
skew: 0.74
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 3100001)
Primes: RFBsize:216816, AFBsize:216762, largePrimes:5719874 encountered
Relations: rels:5700036, finalFF:548025
Max relations in full relation-set: 28
Initial matrix: 433645 x 548025 with sparse part having weight 48656988.
Pruned matrix : 380612 x 382844 with weight 32093823.
Total sieving time: 24.02 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.80 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 24.96 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: 4042900k/4718592k available (2127k kernel code, 0k reserved, 1314k data, 212k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405130)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405118)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

14×10157+319

c144

name 名前Robert Backstrom
date 日付April 6, 2008 15:13:07 UTC 2008 年 4 月 7 日 (月) 0 時 13 分 7 秒 (日本時間)
composite number 合成数
166433671635031744544481049109629997491990532133453025037392323621256408259802421916610388923754892468719810052105215109107568842740899850252019<144>
prime factors 素因数
16264286654890748144075190501147967098201002951<47>
10233075398052231822492848466935430038785598384068263986570291327906585563875283488105494739268469<98>
factorization results 素因数分解の結果
Number: n
N=166433671635031744544481049109629997491990532133453025037392323621256408259802421916610388923754892468719810052105215109107568842740899850252019
  ( 144 digits)
SNFS difficulty: 158 digits.
Divisors found:

Mon Apr 07 01:06:15 2008  prp47 factor: 16264286654890748144075190501147967098201002951
Mon Apr 07 01:06:15 2008  prp98 factor: 10233075398052231822492848466935430038785598384068263986570291327906585563875283488105494739268469
Mon Apr 07 01:06:15 2008  elapsed time 02:22:14 (Msieve 1.34, Dep=8)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 47.92 hours.
Scaled time: 84.11 units (timescale=1.755).
Factorization parameters were as follows:
name: KA_1_5_156_9
n: 166433671635031744544481049109629997491990532133453025037392323621256408259802421916610388923754892468719810052105215109107568842740899850252019
type: snfs
skew: 0.47
deg: 5
c5: 1400
c0: 31
m: 10000000000000000000000000000000
rlim: 2500000
alim: 2500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2400001)
Primes: RFBsize:183072, AFBsize:182717, largePrimes:7075797 encountered
Relations: rels:6427225, finalFF:371726
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 47.69 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.3,2.3,100000
total time: 47.92 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

14×10158+319

c86

name 名前Robert Backstrom
date 日付April 2, 2008 17:05:13 UTC 2008 年 4 月 3 日 (木) 2 時 5 分 13 秒 (日本時間)
composite number 合成数
13095194600311648587363642228835280059379349527210239503556304027577051905401432570267<86>
prime factors 素因数
18462693075720592159694382676395345089159<41>
709278681425545386232340021289077175661076813<45>
factorization results 素因数分解の結果
Thu Apr 03 02:41:55 2008  
Thu Apr 03 02:41:55 2008  
Thu Apr 03 02:41:55 2008  Msieve v. 1.33
Thu Apr 03 02:41:55 2008  random seeds: 42b0e064 b812c0af
Thu Apr 03 02:41:55 2008  factoring 13095194600311648587363642228835280059379349527210239503556304027577051905401432570267 (86 digits)
Thu Apr 03 02:41:56 2008  searching for 15-digit factors
Thu Apr 03 02:41:57 2008  commencing quadratic sieve (86-digit input)
Thu Apr 03 02:41:57 2008  using multiplier of 3
Thu Apr 03 02:41:57 2008  using 64kb Opteron sieve core
Thu Apr 03 02:41:57 2008  sieve interval: 6 blocks of size 65536
Thu Apr 03 02:41:57 2008  processing polynomials in batches of 17
Thu Apr 03 02:41:57 2008  using a sieve bound of 1442509 (54992 primes)
Thu Apr 03 02:41:57 2008  using large prime bound of 115400720 (26 bits)
Thu Apr 03 02:41:57 2008  using double large prime bound of 325068826146400 (41-49 bits)
Thu Apr 03 02:41:57 2008  using trial factoring cutoff of 49 bits
Thu Apr 03 02:41:57 2008  polynomial 'A' values have 11 factors
Thu Apr 03 03:20:45 2008  55145 relations (16138 full + 39007 combined from 573077 partial), need 55088
Thu Apr 03 03:20:45 2008  begin with 589214 relations
Thu Apr 03 03:20:46 2008  reduce to 130017 relations in 10 passes
Thu Apr 03 03:20:46 2008  attempting to read 130017 relations
Thu Apr 03 03:20:47 2008  recovered 130017 relations
Thu Apr 03 03:20:47 2008  recovered 111360 polynomials
Thu Apr 03 03:20:47 2008  attempting to build 55144 cycles
Thu Apr 03 03:20:47 2008  found 55143 cycles in 5 passes
Thu Apr 03 03:20:48 2008  distribution of cycle lengths:
Thu Apr 03 03:20:48 2008     length 1 : 16138
Thu Apr 03 03:20:48 2008     length 2 : 11055
Thu Apr 03 03:20:48 2008     length 3 : 9584
Thu Apr 03 03:20:48 2008     length 4 : 7023
Thu Apr 03 03:20:48 2008     length 5 : 4907
Thu Apr 03 03:20:48 2008     length 6 : 2885
Thu Apr 03 03:20:48 2008     length 7 : 1679
Thu Apr 03 03:20:48 2008     length 9+: 1872
Thu Apr 03 03:20:48 2008  largest cycle: 18 relations
Thu Apr 03 03:20:48 2008  matrix is 54992 x 55143 (12.0 MB) with weight 2919220 (52.94/col)
Thu Apr 03 03:20:48 2008  sparse part has weight 2919220 (52.94/col)
Thu Apr 03 03:20:49 2008  filtering completed in 4 passes
Thu Apr 03 03:20:49 2008  matrix is 50096 x 50160 (11.0 MB) with weight 2691005 (53.65/col)
Thu Apr 03 03:20:49 2008  sparse part has weight 2691005 (53.65/col)
Thu Apr 03 03:20:50 2008  saving the first 48 matrix rows for later
Thu Apr 03 03:20:50 2008  matrix is 50048 x 50160 (6.5 MB) with weight 2016906 (40.21/col)
Thu Apr 03 03:20:50 2008  sparse part has weight 1390909 (27.73/col)
Thu Apr 03 03:20:50 2008  matrix includes 64 packed rows
Thu Apr 03 03:20:50 2008  using block size 20064 for processor cache size 512 kB
Thu Apr 03 03:20:50 2008  commencing Lanczos iteration
Thu Apr 03 03:20:50 2008  memory use: 6.8 MB
Thu Apr 03 03:21:10 2008  lanczos halted after 792 iterations (dim = 50039)
Thu Apr 03 03:21:10 2008  recovered 12 nontrivial dependencies
Thu Apr 03 03:21:11 2008  prp41 factor: 18462693075720592159694382676395345089159
Thu Apr 03 03:21:11 2008  prp45 factor: 709278681425545386232340021289077175661076813
Thu Apr 03 03:21:11 2008  elapsed time 00:39:16

14×10162+319

c147

name 名前Robert Backstrom
date 日付April 5, 2008 11:59:16 UTC 2008 年 4 月 5 日 (土) 20 時 59 分 16 秒 (日本時間)
composite number 合成数
538482665638292782825395952093173824033430376023107423400045296340750532135745493329735662010643393494585741323072415536628118545216627109347239991<147>
prime factors 素因数
50365446354722171931533546718702257843<38>
3543988444207413403410274704260989655419<40>
3016801554260539634880325171364479046731365413823735186731506096436023<70>
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 538482665638292782825395952093173824033430376023107423400045296340750532135745493329735662010643393494585741323072415536628118545216627109347239991 (147 digits)
Using B1=3696000, B2=8561285470, polynomial Dickson(6), sigma=2910241397
Step 1 took 44611ms
Step 2 took 17806ms
********** Factor found in step 2: 50365446354722171931533546718702257843
Found probable prime factor of 38 digits: 50365446354722171931533546718702257843
Composite cofactor 10691509846766316509002436770053276030930115107099062938799324518870872343619138078994315188241927426748758637 has 110 digits


GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM]
Input number is 10691509846766316509002436770053276030930115107099062938799324518870872343619138078994315188241927426748758637 (110 digits)
Using B1=6462000, B2=14271342550, polynomial Dickson(12), sigma=3655672364
Step 1 took 51637ms
Step 2 took 22131ms
********** Factor found in step 2: 3543988444207413403410274704260989655419
Found probable prime factor of 40 digits: 3543988444207413403410274704260989655419
Probable prime cofactor 3016801554260539634880325171364479046731365413823735186731506096436023 has 70 digits

14×10164+319

c151

name 名前Robert Backstrom
date 日付April 7, 2008 09:29:20 UTC 2008 年 4 月 7 日 (月) 18 時 29 分 20 秒 (日本時間)
composite number 合成数
2176107216560753301911443296557873067276016343298831494475440440002350484312812223305933949454487812090080679805129498136087304244961797327267959760029<151>
prime factors 素因数
292044997922927091627528286394099949348817998187813<51>
7451273714795980303658961535674894947248661146078209917201810829662662013768700449007211187583249433<100>
factorization results 素因数分解の結果
Number: n
N=2176107216560753301911443296557873067276016343298831494475440440002350484312812223305933949454487812090080679805129498136087304244961797327267959760029
  ( 151 digits)
SNFS difficulty: 165 digits.
Divisors found:

Mon Apr  7 19:21:33 2008  prp51 factor: 292044997922927091627528286394099949348817998187813
Mon Apr  7 19:21:33 2008  prp100 factor: 7451273714795980303658961535674894947248661146078209917201810829662662013768700449007211187583249433
Mon Apr  7 19:21:33 2008  elapsed time 00:56:16 (Msieve 1.34)

Version: GGNFS-0.77.1-20050930-k8
Total time: 58.46 hours.
Scaled time: 49.16 units (timescale=0.841).
Factorization parameters were as follows:
name: KA_1_5_163_9
n: 2176107216560753301911443296557873067276016343298831494475440440002350484312812223305933949454487812090080679805129498136087304244961797327267959760029
type: snfs
deg: 5
c5: 7
c0: 155
skew: 1.86
m: 1000000000000000000000000000000000
rlim: 3200000
alim: 3200000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved  special-q in [100000, 3700369)
Primes: RFBsize:230209, AFBsize:229318, largePrimes:5754763 encountered
Relations: rels:5663009, finalFF:469183
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 58.27 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,48,48,2.5,2.5,100000
total time: 58.46 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... 6029.31 BogoMIPS (lpj=3014656)
Total of 2 processors activated (11993.08 BogoMIPS).

14×10165+319

c146

name 名前Robert Backstrom
date 日付April 7, 2008 11:43:46 UTC 2008 年 4 月 7 日 (月) 20 時 43 分 46 秒 (日本時間)
composite number 合成数
11831496728453040368588747027393946948515280652340570548132594078197001463889134283214599455363721462782675641132374892459492277581995839067963479<146>
prime factors 素因数
67547527870814968644720759872728356155144540584072588165080323596693<68>
175158101286561444194143776900975745196879694692553333454908567390260925183803<78>
factorization results 素因数分解の結果
Number: n
N=11831496728453040368588747027393946948515280652340570548132594078197001463889134283214599455363721462782675641132374892459492277581995839067963479
  ( 146 digits)
SNFS difficulty: 166 digits.
Divisors found:

Mon Apr 07 20:40:51 2008  prp68 factor: 67547527870814968644720759872728356155144540584072588165080323596693
Mon Apr 07 20:40:51 2008  prp78 factor: 175158101286561444194143776900975745196879694692553333454908567390260925183803
Mon Apr 07 20:40:51 2008  elapsed time 01:01:41 (Msieve 1.34)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 50.67 hours.
Scaled time: 92.93 units (timescale=1.834).
Factorization parameters were as follows:
name: KA_1_5_164_9
n: 11831496728453040368588747027393946948515280652340570548132594078197001463889134283214599455363721462782675641132374892459492277581995839067963479
skew: 1.17
deg: 5
c5: 14
c0: 31
m: 1000000000000000000000000000000000
type: snfs
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 3400001)
Primes: RFBsize:230209, AFBsize:230543, largePrimes:7686963 encountered
Relations: rels:7146455, finalFF:522792
Max relations in full relation-set: 28
Initial matrix: 460818 x 522792 with sparse part having weight 59672004.
Pruned matrix : 
Total sieving time: 50.44 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.5,2.5,100000
total time: 50.67 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

14×10166+319

c139

name 名前JMB
date 日付April 3, 2008 21:42:25 UTC 2008 年 4 月 4 日 (金) 6 時 42 分 25 秒 (日本時間)
composite number 合成数
1053745669540091006444009642597343127033979085083438889887877838029155667556601922041914077882680834820782417527686070391820875048325323527<139>
prime factors 素因数
25959036563720881399909794087532397<35>
composite cofactor 合成数の残り
40592633973664338092756074639611100697720162425602675161336639117666924326656515110040772765234343268291<104>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(12), sigma=2010564104
Step 1 took 41062ms
Step 2 took 26063ms
********** Factor found in step 2: 25959036563720881399909794087532397
Found probable prime factor of 35 digits: 25959036563720881399909794087532397
Composite cofactor 40592633973664338092756074639611100697720162425602675161336639117666924326656515110040772765234343268291 has 104 digits
software ソフトウェア
GMP-ECM 6.1.3
execution environment 実行環境
WinXP 3.4ghz P4

c104

name 名前Jo Yeong Uk
date 日付April 6, 2008 01:16:20 UTC 2008 年 4 月 6 日 (日) 10 時 16 分 20 秒 (日本時間)
composite number 合成数
40592633973664338092756074639611100697720162425602675161336639117666924326656515110040772765234343268291<104>
prime factors 素因数
9597033958947512940770715759079012159641836757583<49>
4229706193320175468626508490317354141097461889488396877<55>
factorization results 素因数分解の結果
Number: 15559_166
N=40592633973664338092756074639611100697720162425602675161336639117666924326656515110040772765234343268291
  ( 104 digits)
Divisors found:
 r1=9597033958947512940770715759079012159641836757583 (pp49)
 r2=4229706193320175468626508490317354141097461889488396877 (pp55)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 5.75 hours.
Scaled time: 12.23 units (timescale=2.128).
Factorization parameters were as follows:
name: 15559_166
n: 40592633973664338092756074639611100697720162425602675161336639117666924326656515110040772765234343268291
skew: 26811.40
# norm 3.74e+14
c5: 15120
c4: 6077326
c3: -23724512303077
c2: 86864477756364696
c1: 8298547771000702870996
c0: 33119074129593578932976192
# alpha -6.43
Y1: 72405459907
Y0: -76873924976831669127
# Murphy_E 2.13e-09
# M 1233879129425926695567871031059691043818742592710023171099250854072614931552306628519699357283862227743
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 60000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [900000, 1680001)
Primes: RFBsize:135072, AFBsize:134910, largePrimes:4428331 encountered
Relations: rels:4423357, finalFF:366133
Max relations in full relation-set: 28
Initial matrix: 270065 x 366133 with sparse part having weight 30992146.
Pruned matrix : 212490 x 213904 with weight 16099938.
Polynomial selection time: 0.39 hours.
Total sieving time: 5.03 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.18 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,49,49,2.6,2.6,60000
total time: 5.75 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: 4042900k/4718592k available (2127k kernel code, 0k reserved, 1314k data, 212k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405130)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405118)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

14×10170+319

c117

name 名前Robert Backstrom
date 日付April 10, 2008 09:15:05 UTC 2008 年 4 月 10 日 (木) 18 時 15 分 5 秒 (日本時間)
composite number 合成数
138694607752947776402054601038374261634077577246418128378721610395375037159280518817908354940816419747823675209822231<117>
prime factors 素因数
4570257576393376741108870562574935143559999<43>
30347219042826632639068219128539563087330388614267880782603290658707817769<74>
factorization results 素因数分解の結果
Number: n
N=138694607752947776402054601038374261634077577246418128378721610395375037159280518817908354940816419747823675209822231
  ( 117 digits)
Divisors found:

Thu Apr 10 19:09:13 2008  prp43 factor: 4570257576393376741108870562574935143559999
Thu Apr 10 19:09:13 2008  prp74 factor: 30347219042826632639068219128539563087330388614267880782603290658707817769
Thu Apr 10 19:09:13 2008  elapsed time 01:18:33 (Msieve 1.34)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 49.69 hours.
Scaled time: 64.80 units (timescale=1.304).
Factorization parameters were as follows:
name: KA_1_5_169_9
n: 138694607752947776402054601038374261634077577246418128378721610395375037159280518817908354940816419747823675209822231
skew: 94836.36
# norm 1.77e+16
c5: 1920
c4: 4251138112
c3: -309124278511618
c2: -29561456463897609891
c1: 487127672626518629193186
c0: 32056092180814696347161000619
# alpha -6.09
Y1: 31913420429
Y0: -37303665233241543560500
# Murphy_E 4.26e-10
# M 30440368514637758849034089320960643934931022425993500010937446988681486641564356323500538790935064017609701630427635
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  special-q in [100000, 2020001)
Primes: RFBsize:315948, AFBsize:316044, largePrimes:6564918 encountered
Relations: rels:6479500, finalFF:721077
Max relations in full relation-set: 28
Initial matrix: 632068 x 721077 with sparse part having weight 38916166.
Pruned matrix : 
Total sieving time: 49.37 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,116,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,60000
total time: 49.69 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

14×10171+319

c125

name 名前Serge Batalov
date 日付August 28, 2008 19:16:26 UTC 2008 年 8 月 29 日 (金) 4 時 16 分 26 秒 (日本時間)
composite number 合成数
58143822340107037261713531691562643165073345955220955555355074430608056279462517333584141371689912500815533060873069353366193<125>
prime factors 素因数
5813483701575740349680035428752387<34>
10001545600677817037581209402111644839880337297632163971294502938355625025052962872656161339<92>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=783124874
Step 1 took 11510ms
Step 2 took 6852ms
********** Factor found in step 2: 5813483701575740349680035428752387
Found probable prime factor of 34 digits: 5813483701575740349680035428752387
Probable prime cofactor 10001545600677817037581209402111644839880337297632163971294502938355625025052962872656161339 has 92 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 2, 2008 09:00:00 UTC 2008 年 4 月 2 日 (水) 18 時 0 分 0 秒 (日本時間)

14×10172+319

c133

name 名前Erik Branger
date 日付May 17, 2010 13:11:33 UTC 2010 年 5 月 17 日 (月) 22 時 11 分 33 秒 (日本時間)
composite number 合成数
5548502541069893641694990865926477923529888080025242068490960079640390962913605716888779127457252695232867263485262661361836235450343<133>
prime factors 素因数
1354337395535761597233402634886464070870633<43>
4096839206654974275984674966677389595231577412358244130174236961459057333083353721703313871<91>
factorization results 素因数分解の結果
Number: 15559_172
N = 5548502541069893641694990865926477923529888080025242068490960079640390962913605716888779127457252695232867263485262661361836235450343 (133 digits)
SNFS difficulty: 174 digits.
Divisors found:
r1=1354337395535761597233402634886464070870633 (pp43)
r2=4096839206654974275984674966677389595231577412358244130174236961459057333083353721703313871 (pp91)
Version: Msieve v. 1.43
Total time: 186.05 hours.
Factorization parameters were as follows:
n: 5548502541069893641694990865926477923529888080025242068490960079640390962913605716888779127457252695232867263485262661361836235450343
m: 10000000000000000000000000000000000
deg: 5
c5: 1400
c0: 31
skew: 0.47
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [2700000, 7300000)
Relations: 11617049
Relations in full relation-set: 1856498 relations
Pruned matrix : 1127815 x 1128039
Polynomial selection time: 0.00 hours.
Total sieving time: 176.37 hours.
Total relation processing time: 0.33 hours.
Matrix solve time: 8.97 hours.
time per square root: 0.37 hours.
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 2, 2008 09:00:00 UTC 2008 年 4 月 2 日 (水) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiAugust 3, 2009 01:37:36 UTC 2009 年 8 月 3 日 (月) 10 時 37 分 36 秒 (日本時間)

14×10173+319

c150

name 名前Alfred Reich
date 日付September 23, 2011 09:37:13 UTC 2011 年 9 月 23 日 (金) 18 時 37 分 13 秒 (日本時間)
composite number 合成数
392116213116105066447489807994768614568074848316066015827394815823390494163045611039762127847512283907458356792395286357794439986693461154937118205749<150>
prime factors 素因数
5246415367690495571310475520490893676313003211757708619732026195749789<70>
74739833893235381365436253204698605006333319258549804886858198734626903429419641<80>
factorization results 素因数分解の結果
Number: kam
N = 392116213116105066447489807994768614568074848316066015827394815823390494163045611039762127847512283907458356792395286357794439986693461154937118205749 (150 digits)
SNFS difficulty: 175 digits.
Divisors found:
r1=5246415367690495571310475520490893676313003211757708619732026195749789 (pp70)
r2=74739833893235381365436253204698605006333319258549804886858198734626903429419641 (pp80)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 42.80 hours.
Factorization parameters were as follows:
n: 392116213116105066447489807994768614568074848316066015827394815823390494163045611039762127847512283907458356792395286357794439986693461154937118205749
c5: 14000
c0: 31
Y0: -10000000000000000000000000000000000
Y1: 1
skew: 0.29
type: snfs
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20097937
Relations: 2257850 relations
Pruned matrix : 1275403 x 1275635
Polynomial selection time: 0.00 hours.
Total sieving time: 40.66 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.92 hours.
time per square root: 0.07 hours.
Prototype def-par.txt line would be: snfs,175,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,55,55,2.5,2.5,100000
total time: 42.80 hours.
AMD64 Family 16 Model 5 Stepping 2, AuthenticAMD
Windows-7-6.1.7600
processors: 4, speed: 2.80GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 2, 2008 09:00:00 UTC 2008 年 4 月 2 日 (水) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiJanuary 24, 2010 06:11:26 UTC 2010 年 1 月 24 日 (日) 15 時 11 分 26 秒 (日本時間)
4511e64000Wataru SakaiSeptember 6, 2011 13:09:50 UTC 2011 年 9 月 6 日 (火) 22 時 9 分 50 秒 (日本時間)

14×10176+319

c161

name 名前Serge Batalov
date 日付October 20, 2008 18:28:07 UTC 2008 年 10 月 21 日 (火) 3 時 28 分 7 秒 (日本時間)
composite number 合成数
91577520366063589277240766947306748041354023568047146249685501908499620499316018448070354842587752733157064074686017179232354084676531620519553064437257292523523<161>
prime factors 素因数
56152629625366819992137469300041576546741213872597735252417<59>
1630867885921653385652101326198882104756613516393727742204108998674895216128979500226008716085217882819<103>
factorization results 素因数分解の結果
SNFS difficulty: 177 digits.
Divisors found:
 r1=56152629625366819992137469300041576546741213872597735252417
 r2=1630867885921653385652101326198882104756613516393727742204108998674895216128979500226008716085217882819
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.310).
Factorization parameters were as follows:
n: 91577520366063589277240766947306748041354023568047146249685501908499620499316018448070354842587752733157064074686017179232354084676531620519553064437257292523523
Y1: 1
Y0: -100000000000000000000000000000000000
c5: 140
c0: 31
skew: 0.74
type: snfs
Factor base limits: 11400000/11400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [5700000, 10200001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1465262 x 1465510
Total sieving time: 0.00 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,177,5,0,0,0,0,0,0,0,0,11400000,11400000,27,27,54,54,2.6,2.6,100000
total time: 150.00 hours.
software ソフトウェア
Msieve-1.38
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 2, 2008 09:00:00 UTC 2008 年 4 月 2 日 (水) 18 時 0 分 0 秒 (日本時間)

14×10177+319

c178

name 名前Jo Yeong Uk
date 日付May 8, 2008 23:00:57 UTC 2008 年 5 月 9 日 (金) 8 時 0 分 57 秒 (日本時間)
composite number 合成数
1555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559<178>
prime factors 素因数
1096328539362005176413092222756577932801642557082525242167262230187171<70>
1418877188457386922625323450174283086499815757388954272526173072437542925270309130364696618460095061630075629<109>
factorization results 素因数分解の結果
Number: 15559_177
N=1555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559
  ( 178 digits)
SNFS difficulty: 178 digits.
Divisors found:
 r1=1096328539362005176413092222756577932801642557082525242167262230187171 (pp70)
 r2=1418877188457386922625323450174283086499815757388954272526173072437542925270309130364696618460095061630075629 (pp109)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 219.39 hours.
Scaled time: 522.80 units (timescale=2.383).
Factorization parameters were as follows:
n: 1555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559
m: 200000000000000000000000000000000000
c5: 175
c0: 124
skew: 0.93
type: snfs
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved algebraic special-q in [4500000, 8700001)
Primes: RFBsize:602489, AFBsize:602061, largePrimes:11158562 encountered
Relations: rels:11397768, finalFF:1426718
Max relations in full relation-set: 28
Initial matrix: 1204617 x 1426718 with sparse part having weight 98668142.
Pruned matrix : 1013971 x 1020058 with weight 71526964.
Total sieving time: 210.79 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 8.25 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,50,50,2.6,2.6,100000
total time: 219.39 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047208k/8912896k available (2434k kernel code, 339080k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673793)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342)
Calibrating delay using timer specific routine.. 5344.48 BogoMIPS (lpj=2672242)
Calibrating delay using timer specific routine.. 5344.70 BogoMIPS (lpj=2672351)
execution environment 実行環境
Core 2 Quad Q6700

14×10178+319

c162

name 名前Rich Dickerson
date 日付June 14, 2013 14:18:42 UTC 2013 年 6 月 14 日 (金) 23 時 18 分 42 秒 (日本時間)
composite number 合成数
788568589409553138145499263993281370385789883188644787589756680387808101117749514577260216741813191028853915154120805229802163629687783371011390105240296195405009<162>
prime factors 素因数
78479230349226865374239224323020151165383<41>
10048118284296116141954857348136022599533572756609892015636382670291608564299780629495791460066528621005398227407577056423<122>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3281259817
Step 1 took 29402ms
Step 2 took 9785ms
********** Factor found in step 2: 78479230349226865374239224323020151165383
Found probable prime factor of 41 digits: 78479230349226865374239224323020151165383
Probable prime cofactor 10048118284296116141954857348136022599533572756609892015636382670291608564299780629495791460066528621005398227407577056423 has 122 digits
software ソフトウェア
GMP-ECM 6.4.4 [configured with GMP 5.1.1] [ECM]
execution environment 実行環境
Core-i5, 3.4 GHz, Linux (OpenSUSE)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 2, 2008 09:00:00 UTC 2008 年 4 月 2 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 7, 2010 18:31:29 UTC 2010 年 10 月 8 日 (金) 3 時 31 分 29 秒 (日本時間)
403e62144110Ignacio SantosOctober 7, 2010 18:31:29 UTC 2010 年 10 月 8 日 (金) 3 時 31 分 29 秒 (日本時間)
2034Wataru SakaiMarch 22, 2012 05:30:47 UTC 2012 年 3 月 22 日 (木) 14 時 30 分 47 秒 (日本時間)
4511e632 / 3991Ignacio SantosOctober 7, 2010 18:31:29 UTC 2010 年 10 月 8 日 (金) 3 時 31 分 29 秒 (日本時間)

14×10179+319

c176

name 名前matsui
date 日付July 25, 2008 17:31:31 UTC 2008 年 7 月 26 日 (土) 2 時 31 分 31 秒 (日本時間)
composite number 合成数
18446051886108805354625347510441782942672305888243277072875080701477001726023426485895358182800374191338261064337193828478068961882551352490875792192049751637087104892156475223<176>
prime factors 素因数
175295153066532340613622437887691574772872821<45>
8441086165595067651650397848876928006494892885709<49>
12466231410440518465524895241428903373602741675890690732557533120565315438138006407<83>
factorization results 素因数分解の結果
N=18446051886108805354625347510441782942672305888243277072875080701477001726023426485895358182800374191338261064337193828478068961882551352490875792192049751637087104892156475223
  ( 176 digits)

SNFS difficulty: 180 digits.

Divisors found:

 r1=175295153066532340613622437887691574772872821 (pp45)

 r2=8441086165595067651650397848876928006494892885709 (pp49)
 r3=12466231410440518465524895241428903373602741675890690732557533120565315438138006407 (pp83)

Version: GGNFS-0.77.1-20060513-pentium-m

Total time: 315.32 hours.

Scaled time: 610.14 units (timescale=1.935).

Factorization parameters were as follows:

n: 18446051886108805354625347510441782942672305888243277072875080701477001726023426485895358182800374191338261064337193828478068961882551352490875792192049751637087104892156475223
m: 1000000000000000000000000000000000000
c5: 7
c0: 155
skew: 1.86
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, 10200001)
Primes: RFBsize:501962, AFBsize:499942, largePrimes:6632716 encountered

Relations: rels:7100185, finalFF:1147043

Max relations in full relation-set: 28

Initial matrix: 1001969 x 1147043 with sparse part having weight 77618795.

Pruned matrix : 881350 x 886423 with weight 59827143.

Total sieving time: 308.53 hours.

Total relation processing time: 0.13 hours.

Matrix solve time: 6.25 hours.

Time per square root: 0.40 hours.

Prototype def-par.txt line would be:

snfs,180,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000

total time: 315.32 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 2, 2008 09:00:00 UTC 2008 年 4 月 2 日 (水) 18 時 0 分 0 秒 (日本時間)

14×10180+319

c181

name 名前Jo Yeong Uk
date 日付April 2, 2008 16:24:26 UTC 2008 年 4 月 3 日 (木) 1 時 24 分 26 秒 (日本時間)
composite number 合成数
1555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559<181>
prime factors 素因数
224540162641475926200940032590041<33>
6927738615916639493795372224802362230619590881114688329834073792904549303518808372499279890767099431963254595662524485909980595129219530776688881599<148>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 1555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559 (181 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2158616714
Step 1 took 9955ms
Step 2 took 5236ms
********** Factor found in step 2: 224540162641475926200940032590041
Found probable prime factor of 33 digits: 224540162641475926200940032590041
Probable prime cofactor 6927738615916639493795372224802362230619590881114688329834073792904549303518808372499279890767099431963254595662524485909980595129219530776688881599 has 148 digits
execution environment 実行環境
Core 2 Quad Q6600

14×10181+319

c144

name 名前Ignacio Santos
date 日付October 7, 2010 18:42:28 UTC 2010 年 10 月 8 日 (金) 3 時 42 分 28 秒 (日本時間)
composite number 合成数
317489571877323806321653243147377626263035543722896496191015983373574369901176784396551488058404273672806756945349147986828108032023488078696911<144>
prime factors 素因数
1094719052504211547245296510568611707<37>
290019225618714055084846274549282800436014755806436679880662263073428292874364571210394254920133698541558973<108>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1483728229
Step 1 took 20171ms
Step 2 took 11294ms
********** Factor found in step 2: 1094719052504211547245296510568611707
Found probable prime factor of 37 digits: 1094719052504211547245296510568611707
Probable prime cofactor 290019225618714055084846274549282800436014755806436679880662263073428292874364571210394254920133698541558973 has 108 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 2, 2008 09:00:00 UTC 2008 年 4 月 2 日 (水) 18 時 0 分 0 秒 (日本時間)

14×10185+319

c178

name 名前Wataru Sakai
date 日付July 1, 2010 12:33:02 UTC 2010 年 7 月 1 日 (木) 21 時 33 分 2 秒 (日本時間)
composite number 合成数
1581932427930353522021645732824903414861373572062620438094875025603717590019551249770516689854349707336229600759588810247525046094883812108403008897399278568529865889316823079727<178>
prime factors 素因数
137580860230554431690291756176085579251<39>
composite cofactor 合成数の残り
11498201314335382498223124202312486685614748136920966316332196076488995563686648545657467629657017644635052417449213514491005086449862027477<140>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3256471429
Step 1 took 18202ms
Step 2 took 6919ms
********** Factor found in step 2: 137580860230554431690291756176085579251
Found probable prime factor of 39 digits: 137580860230554431690291756176085579251
Composite cofactor 11498201314335382498223124202312486685614748136920966316332196076488995563686648545657467629657017644635052417449213514491005086449862027477 has 140 digits
software ソフトウェア
GMP-ECM 6.2.3

c140

name 名前Jo Yeong Uk
date 日付August 21, 2014 11:50:33 UTC 2014 年 8 月 21 日 (木) 20 時 50 分 33 秒 (日本時間)
composite number 合成数
11498201314335382498223124202312486685614748136920966316332196076488995563686648545657467629657017644635052417449213514491005086449862027477<140>
prime factors 素因数
13857642881464984785848348807980840628822417493488467<53>
829737164732003122282639924038663600006318661993029084379045668396891837889206254655031<87>
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 11498201314335382498223124202312486685614748136920966316332196076488995563686648545657467629657017644635052417449213514491005086449862027477 (140 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4715975624
Step 1 took 24401ms
Step 2 took 8547ms
********** Factor found in step 2: 13857642881464984785848348807980840628822417493488467
Found probable prime factor of 53 digits: 13857642881464984785848348807980840628822417493488467
Probable prime cofactor 829737164732003122282639924038663600006318661993029084379045668396891837889206254655031 has 87 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 2, 2008 09:00:00 UTC 2008 年 4 月 2 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 19, 2010 23:09:57 UTC 2010 年 6 月 20 日 (日) 8 時 9 分 57 秒 (日本時間)
403e62144110Ignacio SantosJune 19, 2010 23:09:57 UTC 2010 年 6 月 20 日 (日) 8 時 9 分 57 秒 (日本時間)
2034Wataru SakaiJuly 2, 2010 08:34:03 UTC 2010 年 7 月 2 日 (金) 17 時 34 分 3 秒 (日本時間)
4511e6332 / 399132Ignacio SantosJune 19, 2010 23:09:57 UTC 2010 年 6 月 20 日 (日) 8 時 9 分 57 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:15 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 15 秒 (日本時間)

14×10187+319

c160

name 名前LegionMammal978
date 日付July 29, 2017 12:42:17 UTC 2017 年 7 月 29 日 (土) 21 時 42 分 17 秒 (日本時間)
composite number 合成数
1515126757354786548934086945828904604595318112128885183920878437355149306506583269155155010181584447757067174129643500067625725533732981646908708026356020219059<160>
prime factors 素因数
1597607243979582096591313768393766595285154450427<49>
948372488334905376027679337267348615646548089891829658137358776055005713228794071763025485154573060714858933417<111>
factorization results 素因数分解の結果
Fri Jul 28 22:51:59 2017  Msieve v. 1.53 (SVN Unversioned directory)
Fri Jul 28 22:51:59 2017  random seeds: 9970ffa4 1e928816
Fri Jul 28 22:51:59 2017  factoring 1515126757354786548934086945828904604595318112128885183920878437355149306506583269155155010181584447757067174129643500067625725533732981646908708026356020219059 (160 digits)
Fri Jul 28 22:52:00 2017  no P-1/P+1/ECM available, skipping
Fri Jul 28 22:52:00 2017  commencing number field sieve (160-digit input)
Fri Jul 28 22:52:00 2017  R0: -10000000000000000000000000000000000000
Fri Jul 28 22:52:00 2017  R1: 1
Fri Jul 28 22:52:00 2017  A0: 31
Fri Jul 28 22:52:00 2017  A1: 0
Fri Jul 28 22:52:00 2017  A2: 0
Fri Jul 28 22:52:00 2017  A3: 0
Fri Jul 28 22:52:00 2017  A4: 0
Fri Jul 28 22:52:00 2017  A5: 1400
Fri Jul 28 22:52:00 2017  skew 0.47, size 2.205e-13, alpha 0.879, combined = 3.390e-11 rroots = 1
Fri Jul 28 22:52:00 2017  
Fri Jul 28 22:52:00 2017  commencing relation filtering
Fri Jul 28 22:52:00 2017  estimated available RAM is 15929.4 MB
Fri Jul 28 22:52:00 2017  commencing duplicate removal, pass 1
Fri Jul 28 22:54:58 2017  skipped 1 relations with b > 2^32
Fri Jul 28 22:54:58 2017  found 3595666 hash collisions in 22622701 relations
Fri Jul 28 22:55:18 2017  added 287 free relations
Fri Jul 28 22:55:18 2017  commencing duplicate removal, pass 2
Fri Jul 28 22:55:25 2017  found 3336632 duplicates and 19286356 unique relations
Fri Jul 28 22:55:25 2017  memory use: 106.6 MB
Fri Jul 28 22:55:25 2017  reading ideals above 720000
Fri Jul 28 22:55:25 2017  commencing singleton removal, initial pass
Fri Jul 28 22:57:42 2017  memory use: 689.0 MB
Fri Jul 28 22:57:42 2017  reading all ideals from disk
Fri Jul 28 22:57:43 2017  memory use: 617.6 MB
Fri Jul 28 22:57:44 2017  keeping 21460578 ideals with weight <= 200, target excess is 115851
Fri Jul 28 22:57:45 2017  commencing in-memory singleton removal
Fri Jul 28 22:57:47 2017  begin with 19286356 relations and 21460578 unique ideals
Fri Jul 28 22:57:58 2017  reduce to 7861674 relations and 7715514 ideals in 19 passes
Fri Jul 28 22:57:58 2017  max relations containing the same ideal: 108
Fri Jul 28 22:58:02 2017  relations with 0 large ideals: 2835
Fri Jul 28 22:58:02 2017  relations with 1 large ideals: 786
Fri Jul 28 22:58:02 2017  relations with 2 large ideals: 15511
Fri Jul 28 22:58:02 2017  relations with 3 large ideals: 126823
Fri Jul 28 22:58:02 2017  relations with 4 large ideals: 559734
Fri Jul 28 22:58:02 2017  relations with 5 large ideals: 1439054
Fri Jul 28 22:58:02 2017  relations with 6 large ideals: 2301575
Fri Jul 28 22:58:02 2017  relations with 7+ large ideals: 3415356
Fri Jul 28 22:58:02 2017  commencing 2-way merge
Fri Jul 28 22:58:06 2017  reduce to 4549935 relation sets and 4404518 unique ideals
Fri Jul 28 22:58:06 2017  ignored 743 oversize relation sets
Fri Jul 28 22:58:06 2017  commencing full merge
Fri Jul 28 22:59:10 2017  memory use: 512.1 MB
Fri Jul 28 22:59:10 2017  found 2256312 cycles, need 2254718
Fri Jul 28 22:59:11 2017  weight of 2254718 cycles is about 157956707 (70.06/cycle)
Fri Jul 28 22:59:11 2017  distribution of cycle lengths:
Fri Jul 28 22:59:11 2017  1 relations: 339838
Fri Jul 28 22:59:11 2017  2 relations: 301516
Fri Jul 28 22:59:11 2017  3 relations: 279653
Fri Jul 28 22:59:11 2017  4 relations: 238337
Fri Jul 28 22:59:11 2017  5 relations: 201346
Fri Jul 28 22:59:11 2017  6 relations: 164586
Fri Jul 28 22:59:11 2017  7 relations: 136462
Fri Jul 28 22:59:11 2017  8 relations: 110401
Fri Jul 28 22:59:11 2017  9 relations: 88305
Fri Jul 28 22:59:11 2017  10+ relations: 394274
Fri Jul 28 22:59:11 2017  heaviest cycle: 28 relations
Fri Jul 28 22:59:11 2017  commencing cycle optimization
Fri Jul 28 22:59:14 2017  start with 13016905 relations
Fri Jul 28 22:59:30 2017  pruned 285256 relations
Fri Jul 28 22:59:30 2017  memory use: 437.7 MB
Fri Jul 28 22:59:30 2017  distribution of cycle lengths:
Fri Jul 28 22:59:30 2017  1 relations: 339838
Fri Jul 28 22:59:30 2017  2 relations: 307899
Fri Jul 28 22:59:30 2017  3 relations: 288992
Fri Jul 28 22:59:30 2017  4 relations: 242442
Fri Jul 28 22:59:30 2017  5 relations: 204672
Fri Jul 28 22:59:30 2017  6 relations: 164987
Fri Jul 28 22:59:30 2017  7 relations: 136314
Fri Jul 28 22:59:30 2017  8 relations: 108292
Fri Jul 28 22:59:30 2017  9 relations: 86700
Fri Jul 28 22:59:30 2017  10+ relations: 374582
Fri Jul 28 22:59:30 2017  heaviest cycle: 28 relations
Fri Jul 28 22:59:33 2017  RelProcTime: 453
Fri Jul 28 22:59:33 2017  elapsed time 00:07:34
Fri Jul 28 22:59:34 2017 LatSieveTime: 1812.33
Fri Jul 28 22:59:34 2017 -> Running matrix solving step ...
Fri Jul 28 22:59:34 2017 -> ./msieve -s 15559_187/15559_187.dat -l 15559_187/15559_187.log -i 15559_187/15559_187.ini -nf 15559_187/15559_187.fb -t 3 -nc2
Fri Jul 28 22:59:34 2017  
Fri Jul 28 22:59:34 2017  
Fri Jul 28 22:59:34 2017  Msieve v. 1.53 (SVN Unversioned directory)
Fri Jul 28 22:59:34 2017  random seeds: 1d699a61 3d4d53b3
Fri Jul 28 22:59:34 2017  factoring 1515126757354786548934086945828904604595318112128885183920878437355149306506583269155155010181584447757067174129643500067625725533732981646908708026356020219059 (160 digits)
Fri Jul 28 22:59:34 2017  no P-1/P+1/ECM available, skipping
Fri Jul 28 22:59:34 2017  commencing number field sieve (160-digit input)
Fri Jul 28 22:59:34 2017  R0: -10000000000000000000000000000000000000
Fri Jul 28 22:59:34 2017  R1: 1
Fri Jul 28 22:59:34 2017  A0: 31
Fri Jul 28 22:59:34 2017  A1: 0
Fri Jul 28 22:59:34 2017  A2: 0
Fri Jul 28 22:59:34 2017  A3: 0
Fri Jul 28 22:59:34 2017  A4: 0
Fri Jul 28 22:59:34 2017  A5: 1400
Fri Jul 28 22:59:34 2017  skew 0.47, size 2.205e-13, alpha 0.879, combined = 3.390e-11 rroots = 1
Fri Jul 28 22:59:34 2017  
Fri Jul 28 22:59:34 2017  commencing linear algebra
Fri Jul 28 22:59:35 2017  read 2254718 cycles
Fri Jul 28 22:59:38 2017  cycles contain 7428619 unique relations
Fri Jul 28 23:00:15 2017  read 7428619 relations
Fri Jul 28 23:00:23 2017  using 20 quadratic characters above 4294917295
Fri Jul 28 23:00:53 2017  building initial matrix
Fri Jul 28 23:01:43 2017  memory use: 902.7 MB
Fri Jul 28 23:01:44 2017  read 2254718 cycles
Fri Jul 28 23:01:44 2017  matrix is 2254527 x 2254718 (676.3 MB) with weight 198742632 (88.15/col)
Fri Jul 28 23:01:44 2017  sparse part has weight 152492571 (67.63/col)
Fri Jul 28 23:01:59 2017  filtering completed in 2 passes
Fri Jul 28 23:01:59 2017  matrix is 2252121 x 2252311 (676.1 MB) with weight 198646961 (88.20/col)
Fri Jul 28 23:01:59 2017  sparse part has weight 152456326 (67.69/col)
Fri Jul 28 23:02:04 2017  matrix starts at (0, 0)
Fri Jul 28 23:02:05 2017  matrix is 2252121 x 2252311 (676.1 MB) with weight 198646961 (88.20/col)
Fri Jul 28 23:02:05 2017  sparse part has weight 152456326 (67.69/col)
Fri Jul 28 23:02:05 2017  saving the first 48 matrix rows for later
Fri Jul 28 23:02:05 2017  matrix includes 64 packed rows
Fri Jul 28 23:02:05 2017  matrix is 2252073 x 2252311 (640.7 MB) with weight 158458758 (70.35/col)
Fri Jul 28 23:02:05 2017  sparse part has weight 145427183 (64.57/col)
Fri Jul 28 23:02:05 2017  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Fri Jul 28 23:02:11 2017  commencing Lanczos iteration (3 threads)
Fri Jul 28 23:02:11 2017  memory use: 517.8 MB
Fri Jul 28 23:02:20 2017  linear algebra at 0.1%, ETA 3h42m
Fri Jul 28 23:02:23 2017  checkpointing every 610000 dimensions
Sat Jul 29 02:32:26 2017  lanczos halted after 35621 iterations (dim = 2252073)
Sat Jul 29 02:32:28 2017  recovered 39 nontrivial dependencies
Sat Jul 29 02:32:28 2017  BLanczosTime: 12774
Sat Jul 29 02:32:28 2017  elapsed time 03:32:54
Sat Jul 29 02:32:28 2017 -> Running square root step ...
Sat Jul 29 02:32:28 2017 -> ./msieve -s 15559_187/15559_187.dat -l 15559_187/15559_187.log -i 15559_187/15559_187.ini -nf 15559_187/15559_187.fb -t 3 -nc3
Sat Jul 29 02:32:28 2017  
Sat Jul 29 02:32:28 2017  
Sat Jul 29 02:32:28 2017  Msieve v. 1.53 (SVN Unversioned directory)
Sat Jul 29 02:32:28 2017  random seeds: ac76fc04 cb53fec3
Sat Jul 29 02:32:28 2017  factoring 1515126757354786548934086945828904604595318112128885183920878437355149306506583269155155010181584447757067174129643500067625725533732981646908708026356020219059 (160 digits)
Sat Jul 29 02:32:28 2017  no P-1/P+1/ECM available, skipping
Sat Jul 29 02:32:28 2017  commencing number field sieve (160-digit input)
Sat Jul 29 02:32:28 2017  R0: -10000000000000000000000000000000000000
Sat Jul 29 02:32:28 2017  R1: 1
Sat Jul 29 02:32:28 2017  A0: 31
Sat Jul 29 02:32:28 2017  A1: 0
Sat Jul 29 02:32:28 2017  A2: 0
Sat Jul 29 02:32:28 2017  A3: 0
Sat Jul 29 02:32:28 2017  A4: 0
Sat Jul 29 02:32:28 2017  A5: 1400
Sat Jul 29 02:32:28 2017  skew 0.47, size 2.205e-13, alpha 0.879, combined = 3.390e-11 rroots = 1
Sat Jul 29 02:32:28 2017  
Sat Jul 29 02:32:28 2017  commencing square root phase
Sat Jul 29 02:32:28 2017  reading relations for dependency 1
Sat Jul 29 02:32:29 2017  read 1125227 cycles
Sat Jul 29 02:32:30 2017  cycles contain 3714274 unique relations
Sat Jul 29 02:32:50 2017  read 3714274 relations
Sat Jul 29 02:33:03 2017  multiplying 3714274 relations
Sat Jul 29 02:35:02 2017  multiply complete, coefficients have about 120.83 million bits
Sat Jul 29 02:35:02 2017  initial square root is modulo 471009041
Sat Jul 29 02:37:32 2017  sqrtTime: 304
Sat Jul 29 02:37:32 2017  p49 factor: 1597607243979582096591313768393766595285154450427
Sat Jul 29 02:37:32 2017  p111 factor: 948372488334905376027679337267348615646548089891829658137358776055005713228794071763025485154573060714858933417
Sat Jul 29 02:37:32 2017  elapsed time 00:05:04
software ソフトウェア
Msieve 1.53 snfs
execution environment 実行環境
Core i7-2600K 3.4GHz, Ubuntu 16.04.2 LTS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 2, 2008 09:00:00 UTC 2008 年 4 月 2 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 7, 2010 20:03:33 UTC 2010 年 10 月 8 日 (金) 5 時 3 分 33 秒 (日本時間)
403e62210110Ignacio SantosOctober 7, 2010 20:03:33 UTC 2010 年 10 月 8 日 (金) 5 時 3 分 33 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:12 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 12 秒 (日本時間)
1800Youcef LemsaferApril 13, 2014 08:13:19 UTC 2014 年 4 月 13 日 (日) 17 時 13 分 19 秒 (日本時間)
4511e6432 / 397732Ignacio SantosOctober 7, 2010 20:03:33 UTC 2010 年 10 月 8 日 (金) 5 時 3 分 33 秒 (日本時間)
100Youcef LemsaferApril 13, 2014 08:13:19 UTC 2014 年 4 月 13 日 (日) 17 時 13 分 19 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:16 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 16 秒 (日本時間)

14×10189+319

c187

name 名前Dmitry Domanov
date 日付December 14, 2009 07:24:51 UTC 2009 年 12 月 14 日 (月) 16 時 24 分 51 秒 (日本時間)
composite number 合成数
5782734407269723254853366377529946303180503923998347790169351507641470466749277158199091284593143329202808756712102437009500206526228831061544816191656340355225113589425857083849648905411<187>
prime factors 素因数
15476888878283271998699894906904401294117352114726080949942811469<65>
373636746554657431899738325086669472686287739421434557195295928619410609529013993014149729410980424907284192083404696637519<123>
factorization results 素因数分解の結果
N=5782734407269723254853366377529946303180503923998347790169351507641470466749277158199091284593143329202808756712102437009500206526228831061544816191656340355225113589425857083849648905411
  ( 187 digits)
SNFS difficulty: 190 digits.
Divisors found:
 r1=15476888878283271998699894906904401294117352114726080949942811469 (pp65)
 r2=373636746554657431899738325086669472686287739421434557195295928619410609529013993014149729410980424907284192083404696637519 (pp123)
Version: Msieve-1.40
Total time: 477.33 hours.
Scaled time: 443.92 units (timescale=0.930).
Factorization parameters were as follows:
n: 5782734407269723254853366377529946303180503923998347790169351507641470466749277158199091284593143329202808756712102437009500206526228831061544816191656340355225113589425857083849648905411
m: 20000000000000000000000000000000000000
deg: 5
c5: 4375
c0: 31
skew: 0.37
type: snfs
lss: 1
rlim: 10300000
alim: 10300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 300000Factor base limits: 10300000/10300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5150000, 10850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2109440 x 2109664
Total sieving time: 466.75 hours.
Total relation processing time: 0.42 hours.
Matrix solve time: 8.57 hours.
Time per square root: 1.60 hours.
Prototype def-par.txt line would be:
snfs,190.000,5,0,0,0,0,0,0,0,0,10300000,10300000,28,28,54,54,2.5,2.5,100000
total time: 477.33 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 2, 2008 09:00:00 UTC 2008 年 4 月 2 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6825Wataru SakaiAugust 1, 2009 05:02:01 UTC 2009 年 8 月 1 日 (土) 14 時 2 分 1 秒 (日本時間)
403e61735 / 2111Wataru SakaiAugust 3, 2009 01:39:33 UTC 2009 年 8 月 3 日 (月) 10 時 39 分 33 秒 (日本時間)

14×10191+319

c173

name 名前Edwin Hall
date 日付December 19, 2020 03:16:01 UTC 2020 年 12 月 19 日 (土) 12 時 16 分 1 秒 (日本時間)
composite number 合成数
11561608198437971675656770552774480988579835122892307841773268879200232130970468343050113121093481404895206894705107135340885696707416745943023299445163160498586546107290403<173>
prime factors 素因数
1592251090189903736961380395176359619636253507438367<52>
586036848934695549111477254258137693056170614365255313<54>
12390298475299469548028628331417350521744522729520583408773095272493<68>
factorization results 素因数分解の結果
found factor: 586036848934695549111477254258137693056170614365255313
p52 factor: 1592251090189903736961380395176359619636253507438367
p54 factor: 586036848934695549111477254258137693056170614365255313
p68 factor: 12390298475299469548028628331417350521744522729520583408773095272493


Msieve v. 1.54 (SVN 1034)
random seeds: 4cb60b03 ce02a563
factoring 11561608198437971675656770552774480988579835122892307841773268879200232130970468343050113121093481404895206894705107135340885696707416745943023299445163160498586546107290403 (173 digits)
searching for 15-digit factors
commencing number field sieve (173-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 31
A1: 0
A2: 0
A3: 0
A4: 0
A5: 140
skew 1.00, size 1.857e-13, alpha 0.474, combined = 2.983e-11 rroots = 1

commencing relation filtering
estimated available RAM is 15892.2 MB
commencing duplicate removal, pass 1
found 2124664 hash collisions in 35239008 relations
added 725963 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 35964971 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1171.8 MB
keeping 39265822 ideals with weight <= 200, target excess is 193259
commencing in-memory singleton removal
begin with 35964971 relations and 39265822 unique ideals
reduce to 12853416 relations and 11994329 ideals in 14 passes
max relations containing the same ideal: 103
removing 1899046 relations and 1581593 ideals in 317453 cliques
commencing in-memory singleton removal
begin with 10954370 relations and 11994329 unique ideals
reduce to 10700901 relations and 10151008 ideals in 9 passes
max relations containing the same ideal: 93
removing 1519167 relations and 1201714 ideals in 317453 cliques
commencing in-memory singleton removal
begin with 9181734 relations and 10151008 unique ideals
reduce to 8981895 relations and 8743309 ideals in 9 passes
max relations containing the same ideal: 83
removing 124962 relations and 110557 ideals in 14405 cliques
commencing in-memory singleton removal
begin with 8856933 relations and 8743309 unique ideals
reduce to 8855647 relations and 8631465 ideals in 6 passes
max relations containing the same ideal: 83
relations with 0 large ideals: 3970
relations with 1 large ideals: 10423
relations with 2 large ideals: 87899
relations with 3 large ideals: 413969
relations with 4 large ideals: 1179281
relations with 5 large ideals: 2110977
relations with 6 large ideals: 2483375
relations with 7+ large ideals: 2565753
commencing 2-way merge
reduce to 5404013 relation sets and 5179831 unique ideals
commencing full merge
memory use: 578.5 MB
found 2478718 cycles, need 2460031
weight of 2460031 cycles is about 221858191 (90.19/cycle)
distribution of cycle lengths:
1 relations: 206719
2 relations: 213773
3 relations: 223658
4 relations: 212543
5 relations: 204375
6 relations: 185777
7 relations: 170404
8 relations: 153587
9 relations: 136787
10+ relations: 752408
heaviest cycle: 28 relations
commencing cycle optimization
start with 18561896 relations
pruned 586944 relations
memory use: 550.9 MB
distribution of cycle lengths:
1 relations: 206719
2 relations: 219197
3 relations: 231779
4 relations: 219497
5 relations: 211061
6 relations: 191118
7 relations: 174766
8 relations: 156125
9 relations: 138629
10+ relations: 711140
heaviest cycle: 28 relations
RelProcTime: 925
elapsed time 00:15:27


Msieve v. 1.54 (SVN 1034)
random seeds: 594c980a 934f997f
factoring 11561608198437971675656770552774480988579835122892307841773268879200232130970468343050113121093481404895206894705107135340885696707416745943023299445163160498586546107290403 (173 digits)
searching for 15-digit factors
commencing number field sieve (173-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 31
A1: 0
A2: 0
A3: 0
A4: 0
A5: 140
skew 1.00, size 1.857e-13, alpha 0.474, combined = 2.983e-11 rroots = 1

commencing linear algebra
read 2460031 cycles
cycles contain 8682272 unique relations
read 8682272 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1048.0 MB
read 2460031 cycles
matrix is 2459854 x 2460031 (906.7 MB) with weight 267935378 (108.92/col)
sparse part has weight 210617384 (85.62/col)
filtering completed in 2 passes
matrix is 2458907 x 2459084 (906.6 MB) with weight 267900414 (108.94/col)
sparse part has weight 210605126 (85.64/col)
matrix starts at (0, 0)
matrix is 2458907 x 2459084 (906.6 MB) with weight 267900414 (108.94/col)
sparse part has weight 210605126 (85.64/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2458859 x 2459084 (867.0 MB) with weight 221863746 (90.22/col)
sparse part has weight 202677039 (82.42/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (8 threads)
memory use: 822.6 MB
linear algebra at 0.1%, ETA 5h51m
checkpointing every 430000 dimensions
lanczos halted after 38887 iterations (dim = 2458857)
recovered 39 nontrivial dependencies
BLanczosTime: 14432
elapsed time 04:00:34


Msieve v. 1.54 (SVN 1034)
random seeds: 7c725c59 fc9809e2
factoring 11561608198437971675656770552774480988579835122892307841773268879200232130970468343050113121093481404895206894705107135340885696707416745943023299445163160498586546107290403 (173 digits)
searching for 15-digit factors
commencing number field sieve (173-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 31
A1: 0
A2: 0
A3: 0
A4: 0
A5: 140
skew 1.00, size 1.857e-13, alpha 0.474, combined = 2.983e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1229027 cycles
cycles contain 4340590 unique relations
read 4340590 relations
multiplying 4340590 relations
multiply complete, coefficients have about 125.77 million bits
initial square root is modulo 1065440671
found factor: 586036848934695549111477254258137693056170614365255313
reading relations for dependency 2
read 1231346 cycles
cycles contain 4346942 unique relations
read 4346942 relations
multiplying 4346942 relations
multiply complete, coefficients have about 125.96 million bits
initial square root is modulo 1098625841
Newton iteration failed to converge
algebraic square root failed
reading relations for dependency 3
read 1229568 cycles
cycles contain 4342486 unique relations
read 4342486 relations
multiplying 4342486 relations
multiply complete, coefficients have about 125.83 million bits
initial square root is modulo 1075368271
sqrtTime: 699
p52 factor: 1592251090189903736961380395176359619636253507438367
p54 factor: 586036848934695549111477254258137693056170614365255313
p68 factor: 12390298475299469548028628331417350521744522729520583408773095272493
elapsed time 00:11:40
software ソフトウェア
CADO-NFS/Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 2, 2008 09:00:00 UTC 2008 年 4 月 2 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 7, 2010 21:08:16 UTC 2010 年 10 月 8 日 (金) 6 時 8 分 16 秒 (日本時間)
403e62210110Ignacio SantosOctober 7, 2010 21:08:16 UTC 2010 年 10 月 8 日 (金) 6 時 8 分 16 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:12 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 12 秒 (日本時間)
1800Youcef LemsaferApril 13, 2014 08:14:02 UTC 2014 年 4 月 13 日 (日) 17 時 14 分 2 秒 (日本時間)
4511e6443232Ignacio SantosOctober 7, 2010 21:08:16 UTC 2010 年 10 月 8 日 (金) 6 時 8 分 16 秒 (日本時間)
100Youcef LemsaferApril 13, 2014 08:14:02 UTC 2014 年 4 月 13 日 (日) 17 時 14 分 2 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:16 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 16 秒 (日本時間)
4000Robert BalfourApril 18, 2020 15:22:20 UTC 2020 年 4 月 19 日 (日) 0 時 22 分 20 秒 (日本時間)

14×10193+319

c144

name 名前Eric Jeancolas
date 日付May 12, 2020 07:57:55 UTC 2020 年 5 月 12 日 (火) 16 時 57 分 55 秒 (日本時間)
composite number 合成数
946979091167551069142164811826160474769054597368349849313926265498444099704757525218340029592460080937618151155807408832276317879120549799445397<144>
prime factors 素因数
1377639415458471090607968276371455090710228313<46>
687392564804340655628316384875125610208028334742057355549565086640317030022645102102363007385408669<99>
factorization results 素因数分解の結果
946979091167551069142164811826160474769054597368349849313926265498444099704757525218340029592460080937618151155807408832276317879120549799445397=1377639415458471090607968276371455090710228313*687392564804340655628316384875125610208028334742057355549565086640317030022645102102363007385408669

n: 946979091167551069142164811826160474769054597368349849313926265498444099704757525218340029592460080937618151155807408832276317879120549799445397
skew: 172887.819
c0: -89537089355408427565713693241128
c1: -1173271336336515007030354163
c2: 11280681855143465932239
c3: 3908616388642898
c4: -92841761976
c5: -728640
Y0: -7920129166111468494319155904
Y1: 54040757785915606043
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 2.06e-07
# found by revision 7f9c8bd19
# f(x) = -728640*x^5-92841761976*x^4+3908616388642898*x^3+11280681855143465932239*x^2-1173271336336515007030354163*x-89537089355408427565713693241128
# g(x) = 54040757785915606043*x-7920129166111468494319155904

Info:Square Root: Factors: 1377639415458471090607968276371455090710228313 687392564804340655628316384875125610208028334742057355549565086640317030022645102102363007385408669
Info:Square Root: Total cpu/real time for sqrt: 2946.44/862.217
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 18.1/4.85637
Info:Generate Free Relations: Total cpu/real time for freerel: 470.42/118.792
Warning:Lattice Sieving: some stats could not be displayed for sieving (see log file for debug info)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 47936646
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 101.96/76.721
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 76.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 548.01/176.437
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 165.60000000000002s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 237.52/103.447
Info:Filtering - Merging: Total cpu/real time for merge: 460.48/134.138
Info:Filtering - Merging: Total cpu/real time for replay: 138.56/117.518
Info:Linear Algebra: Total cpu/real time for bwc: 191965/49213.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 31286.53, iteration CPU time 0.29, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (101888 iterations)
Info:Linear Algebra: Lingen CPU time 678.09, WCT time 196.42
Info:Linear Algebra: Mksol: WCT time 17320.58, iteration CPU time 0.32, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (50688 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 132.72/53.9711
Info:Square Root: Total cpu/real time for sqrt: 2946.44/862.217
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 159522/51065.4
Info:root: Cleaning up computation data in /tmp/cado.rzxukobv
1377639415458471090607968276371455090710228313 687392564804340655628316384875125610208028334742057355549565086640317030022645102102363007385408669
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 18.04 LTS
GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 2, 2008 09:00:00 UTC 2008 年 4 月 2 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 7, 2010 21:56:55 UTC 2010 年 10 月 8 日 (金) 6 時 56 分 55 秒 (日本時間)
403e62210110Ignacio SantosOctober 7, 2010 21:56:55 UTC 2010 年 10 月 8 日 (金) 6 時 56 分 55 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:13 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 13 秒 (日本時間)
1800Youcef LemsaferApril 13, 2014 13:51:44 UTC 2014 年 4 月 13 日 (日) 22 時 51 分 44 秒 (日本時間)
4511e6432 / 397732Ignacio SantosOctober 7, 2010 21:56:55 UTC 2010 年 10 月 8 日 (金) 6 時 56 分 55 秒 (日本時間)
100Youcef LemsaferApril 13, 2014 15:14:23 UTC 2014 年 4 月 14 日 (月) 0 時 14 分 23 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:16 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 16 秒 (日本時間)

14×10195+319

c128

name 名前Robert Backstrom
date 日付May 7, 2008 21:30:44 UTC 2008 年 5 月 8 日 (木) 6 時 30 分 44 秒 (日本時間)
composite number 合成数
32654766634387580423114278336120923083189533752076496568545648898558155934363078337045374818984316647814856907280851380527819643<128>
prime factors 素因数
67438308398974187180622772855468793089<38>
484216870346117642180865357051076528493767653821960944086179418529064377186836629909208187<90>
factorization results 素因数分解の結果
GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 32654766634387580423114278336120923083189533752076496568545648898558155934363078337045374818984316647814856907280851380527819643 (128 digits)
Using B1=2244000, B2=2655791053, polynomial Dickson(6), sigma=164315382
Step 1 took 20464ms
Step 2 took 9618ms
********** Factor found in step 2: 67438308398974187180622772855468793089
Found probable prime factor of 38 digits: 67438308398974187180622772855468793089
Probable prime cofactor 484216870346117642180865357051076528493767653821960944086179418529064377186836629909208187 has 90 digits

14×10197+319

c164

name 名前Youcef Lemsafer
date 日付April 13, 2014 15:52:09 UTC 2014 年 4 月 14 日 (月) 0 時 52 分 9 秒 (日本時間)
composite number 合成数
15597257043251164194356692344121412075924493994848638125140263231278762139524035594114940756928557735127006011081742606090352665608368555829503273518154604620461119<164>
prime factors 素因数
1953961190743750495821374119784924011<37>
composite cofactor 合成数の残り
7982378113310565044922041008716267827253054305967973231018278879950959985969853605371325460362989043818788793437166620419496829<127>
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 (14*10^197+31)/(9*3^3*53*799311197*8719302929072234645723) (164 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1649303945
Step 1 took 21607ms
Step 2 took 8236ms
********** Factor found in step 2: 1953961190743750495821374119784924011
Found probable prime factor of 37 digits: 1953961190743750495821374119784924011
Composite cofactor ((14*10^197+31)/(9*3^3*53*799311197*8719302929072234645723))/1953961190743750495821374119784924011 has 127 digits

c127

name 名前Youcef Lemsafer
date 日付April 17, 2014 06:14:06 UTC 2014 年 4 月 17 日 (木) 15 時 14 分 6 秒 (日本時間)
composite number 合成数
7982378113310565044922041008716267827253054305967973231018278879950959985969853605371325460362989043818788793437166620419496829<127>
prime factors 素因数
230580497888424993436922462074805467<36>
34618617733981724446599661510662008422776076093282549286834114258037860545880968877427223687<92>
factorization results 素因数分解の結果
<Polynomial selection using msieve 1.52 (SVN 959) win64 on Intel Xeon W3530 @2.8GHz ~10hours>

Mon Apr 14 22:31:50 2014  Msieve v. 1.52 (SVN 959)
Mon Apr 14 22:31:50 2014  random seeds: d23ef3c8 4f1670f9
Mon Apr 14 22:31:50 2014  factoring 7982378113310565044922041008716267827253054305967973231018278879950959985969853605371325460362989043818788793437166620419496829 (127 digits)
Mon Apr 14 22:31:51 2014  searching for 15-digit factors
Mon Apr 14 22:31:53 2014  commencing number field sieve (127-digit input)
Mon Apr 14 22:31:53 2014  commencing number field sieve polynomial selection
Mon Apr 14 22:31:53 2014  polynomial degree: 5
Mon Apr 14 22:31:53 2014  max stage 1 norm: 1.58e+019
Mon Apr 14 22:31:53 2014  max stage 2 norm: 4.05e+017
Mon Apr 14 22:31:53 2014  min E-value: 8.73e-011
Mon Apr 14 22:31:53 2014  poly select deadline: 35630
Mon Apr 14 22:31:53 2014  time limit set to 9.90 CPU-hours
Mon Apr 14 22:31:53 2014  expecting poly E from 1.11e-010 to > 1.28e-010
Mon Apr 14 22:31:53 2014  searching leading coefficients from 80000 to 200000
Tue Apr 15 08:33:35 2014  polynomial selection complete
Tue Apr 15 08:33:35 2014  R0: -2422085808068151846224436
Tue Apr 15 08:33:35 2014  R1: 5935803660203
Tue Apr 15 08:33:35 2014  A0: 6627590829984535102757740366175
Tue Apr 15 08:33:35 2014  A1: 202804045060560550939056330
Tue Apr 15 08:33:35 2014  A2: -1756206147930431601997
Tue Apr 15 08:33:35 2014  A3: -16485909939309528
Tue Apr 15 08:33:35 2014  A4: 48002020700
Tue Apr 15 08:33:35 2014  A5: 95760
Tue Apr 15 08:33:35 2014  skew 200058.37, size 2.726e-012, alpha -7.018, combined = 1.065e-010 rroots = 5
Tue Apr 15 08:33:35 2014  elapsed time 10:01:45


<Sieving + post-processing on Intel Xeon X5660 @2.8GHz>

Tue Apr 15 15:56:58 2014 -> factmsieve.py (v0.76)
Tue Apr 15 15:56:58 2014 -> This is client 1 of 1
Tue Apr 15 15:56:58 2014 -> Running on 2 Cores with 2 hyper-threads per Core
Tue Apr 15 15:56:58 2014 -> Working with NAME = 15559_197
Tue Apr 15 15:56:58 2014 -> Selected lattice siever: gnfs-lasieve4I13e
Tue Apr 15 15:56:58 2014 -> Creating param file to detect parameter changes...
Tue Apr 15 15:56:58 2014 -> Running setup ...
Tue Apr 15 15:56:58 2014 -> Estimated minimum relations needed: 1.672e+07
Tue Apr 15 15:56:58 2014 -> cleaning up before a restart
Tue Apr 15 15:56:58 2014 -> Running lattice siever ...
Tue Apr 15 15:56:58 2014 -> entering sieving loop
Tue Apr 15 15:56:58 2014 -> Lattice sieving algebraic q from 4000000 to 4100000.
Tue Apr 15 16:44:02 2014 Found 432132 relations, 2.6% of the estimated minimum (16720000).
<...snipped...>
Tue Apr 15 23:23:24 2014 Found 4743352 relations, 28.4% of the estimated minimum (16720000).
<...interrupted for ~8.5hours due to crash in gnfs-lasieve4I13e...>
Wed Apr 16 07:58:16 2014 Found 4849732 relations, 29.0% of the estimated minimum (16720000).
<...snipped...>
Thu Apr 17 04:21:29 2014 Found 16785625 relations, 100.4% of the estimated minimum (16720000).
Thu Apr 17 04:21:30 2014  
Thu Apr 17 04:21:30 2014  Msieve v. 1.52 (SVN 959)
Thu Apr 17 04:21:30 2014  random seeds: b74ee264 3ca75715
Thu Apr 17 04:21:30 2014  factoring 7982378113310565044922041008716267827253054305967973231018278879950959985969853605371325460362989043818788793437166620419496829 (127 digits)
Thu Apr 17 04:21:31 2014  searching for 15-digit factors
Thu Apr 17 04:21:33 2014  commencing number field sieve (127-digit input)
Thu Apr 17 04:21:33 2014  R0: -2422085808068151846224436
Thu Apr 17 04:21:33 2014  R1: 5935803660203
Thu Apr 17 04:21:33 2014  A0: 6627590829984535102757740366175
Thu Apr 17 04:21:33 2014  A1: 202804045060560550939056330
Thu Apr 17 04:21:33 2014  A2: -1756206147930431601997
Thu Apr 17 04:21:33 2014  A3: -16485909939309528
Thu Apr 17 04:21:33 2014  A4: 48002020700
Thu Apr 17 04:21:33 2014  A5: 95760
Thu Apr 17 04:21:33 2014  skew 200058.37, size 2.726e-012, alpha -7.018, combined = 1.065e-010 rroots = 5
Thu Apr 17 04:21:33 2014  
Thu Apr 17 04:21:33 2014  commencing relation filtering
Thu Apr 17 04:21:33 2014  estimated available RAM is 4095.6 MB
Thu Apr 17 04:21:33 2014  commencing duplicate removal, pass 1
Thu Apr 17 04:22:16 2014  error -15 reading relation 4849684
Thu Apr 17 04:22:16 2014  error -9 reading relation 4849730
Thu Apr 17 04:24:02 2014  found 1752499 hash collisions in 16785622 relations
Thu Apr 17 04:24:29 2014  added 116542 free relations
Thu Apr 17 04:24:29 2014  commencing duplicate removal, pass 2
Thu Apr 17 04:24:38 2014  found 1447522 duplicates and 15454642 unique relations
Thu Apr 17 04:24:38 2014  memory use: 69.3 MB
Thu Apr 17 04:24:38 2014  reading ideals above 720000
Thu Apr 17 04:24:38 2014  commencing singleton removal, initial pass
Thu Apr 17 04:27:24 2014  memory use: 376.5 MB
Thu Apr 17 04:27:24 2014  reading all ideals from disk
Thu Apr 17 04:27:24 2014  memory use: 466.5 MB
Thu Apr 17 04:27:26 2014  keeping 17216916 ideals with weight <= 200, target excess is 116012
Thu Apr 17 04:27:27 2014  commencing in-memory singleton removal
Thu Apr 17 04:27:28 2014  begin with 15454642 relations and 17216916 unique ideals
Thu Apr 17 04:27:38 2014  reduce to 5029929 relations and 4874071 ideals in 18 passes
Thu Apr 17 04:27:38 2014  max relations containing the same ideal: 89
Thu Apr 17 04:27:40 2014  removing 189742 relations and 179100 ideals in 10642 cliques
Thu Apr 17 04:27:40 2014  commencing in-memory singleton removal
Thu Apr 17 04:27:40 2014  begin with 4840187 relations and 4874071 unique ideals
Thu Apr 17 04:27:43 2014  reduce to 4833954 relations and 4688710 ideals in 8 passes
Thu Apr 17 04:27:43 2014  max relations containing the same ideal: 88
Thu Apr 17 04:27:46 2014  removing 136840 relations and 126198 ideals in 10642 cliques
Thu Apr 17 04:27:46 2014  commencing in-memory singleton removal
Thu Apr 17 04:27:46 2014  begin with 4697114 relations and 4688710 unique ideals
Thu Apr 17 04:27:49 2014  reduce to 4693513 relations and 4558901 ideals in 7 passes
Thu Apr 17 04:27:49 2014  max relations containing the same ideal: 87
Thu Apr 17 04:27:50 2014  relations with 0 large ideals: 499
Thu Apr 17 04:27:50 2014  relations with 1 large ideals: 1813
Thu Apr 17 04:27:50 2014  relations with 2 large ideals: 28194
Thu Apr 17 04:27:50 2014  relations with 3 large ideals: 183383
Thu Apr 17 04:27:50 2014  relations with 4 large ideals: 627244
Thu Apr 17 04:27:50 2014  relations with 5 large ideals: 1208132
Thu Apr 17 04:27:50 2014  relations with 6 large ideals: 1360272
Thu Apr 17 04:27:50 2014  relations with 7+ large ideals: 1283976
Thu Apr 17 04:27:50 2014  commencing 2-way merge
Thu Apr 17 04:27:53 2014  reduce to 2593816 relation sets and 2459204 unique ideals
Thu Apr 17 04:27:53 2014  ignored 1 oversize relation sets
Thu Apr 17 04:27:53 2014  commencing full merge
Thu Apr 17 04:28:35 2014  memory use: 278.1 MB
Thu Apr 17 04:28:35 2014  found 1291436 cycles, need 1279404
Thu Apr 17 04:28:35 2014  weight of 1279404 cycles is about 89589715 (70.02/cycle)
Thu Apr 17 04:28:35 2014  distribution of cycle lengths:
Thu Apr 17 04:28:35 2014  1 relations: 176049
Thu Apr 17 04:28:35 2014  2 relations: 159350
Thu Apr 17 04:28:35 2014  3 relations: 153166
Thu Apr 17 04:28:35 2014  4 relations: 132915
Thu Apr 17 04:28:35 2014  5 relations: 114983
Thu Apr 17 04:28:35 2014  6 relations: 94507
Thu Apr 17 04:28:35 2014  7 relations: 81556
Thu Apr 17 04:28:35 2014  8 relations: 66861
Thu Apr 17 04:28:35 2014  9 relations: 54634
Thu Apr 17 04:28:35 2014  10+ relations: 245383
Thu Apr 17 04:28:36 2014  heaviest cycle: 26 relations
Thu Apr 17 04:28:36 2014  commencing cycle optimization
Thu Apr 17 04:28:37 2014  start with 7629800 relations
Thu Apr 17 04:28:50 2014  pruned 143155 relations
Thu Apr 17 04:28:50 2014  memory use: 262.9 MB
Thu Apr 17 04:28:50 2014  distribution of cycle lengths:
Thu Apr 17 04:28:50 2014  1 relations: 176049
Thu Apr 17 04:28:50 2014  2 relations: 162564
Thu Apr 17 04:28:50 2014  3 relations: 157779
Thu Apr 17 04:28:50 2014  4 relations: 134901
Thu Apr 17 04:28:50 2014  5 relations: 116578
Thu Apr 17 04:28:50 2014  6 relations: 95123
Thu Apr 17 04:28:50 2014  7 relations: 81415
Thu Apr 17 04:28:50 2014  8 relations: 66054
Thu Apr 17 04:28:50 2014  9 relations: 53834
Thu Apr 17 04:28:50 2014  10+ relations: 235107
Thu Apr 17 04:28:50 2014  heaviest cycle: 26 relations
Thu Apr 17 04:28:51 2014  RelProcTime: 438
Thu Apr 17 04:28:51 2014  elapsed time 00:07:21
Thu Apr 17 04:28:51 2014 LatSieveTime: 2826.38
Thu Apr 17 04:28:51 2014 -> Running matrix solving step ...
Thu Apr 17 04:28:53 2014  commencing linear algebra
Thu Apr 17 04:28:54 2014  read 1279404 cycles
Thu Apr 17 04:28:56 2014  cycles contain 4505594 unique relations
Thu Apr 17 04:29:38 2014  read 4505594 relations
Thu Apr 17 04:29:44 2014  using 20 quadratic characters above 268435338
Thu Apr 17 04:30:03 2014  building initial matrix
Thu Apr 17 04:30:48 2014  memory use: 562.3 MB
Thu Apr 17 04:30:49 2014  read 1279404 cycles
Thu Apr 17 04:30:49 2014  matrix is 1279224 x 1279404 (390.3 MB) with weight 122411915 (95.68/col)
Thu Apr 17 04:30:49 2014  sparse part has weight 86958778 (67.97/col)
Thu Apr 17 04:31:03 2014  filtering completed in 2 passes
Thu Apr 17 04:31:04 2014  matrix is 1275621 x 1275801 (389.9 MB) with weight 122245009 (95.82/col)
Thu Apr 17 04:31:04 2014  sparse part has weight 86904609 (68.12/col)
Thu Apr 17 04:31:07 2014  matrix starts at (0, 0)
Thu Apr 17 04:31:07 2014  matrix is 1275621 x 1275801 (389.9 MB) with weight 122245009 (95.82/col)
Thu Apr 17 04:31:07 2014  sparse part has weight 86904609 (68.12/col)
Thu Apr 17 04:31:07 2014  saving the first 48 matrix rows for later
Thu Apr 17 04:31:08 2014  matrix includes 64 packed rows
Thu Apr 17 04:31:08 2014  matrix is 1275573 x 1275801 (374.5 MB) with weight 97676265 (76.56/col)
Thu Apr 17 04:31:08 2014  sparse part has weight 85418370 (66.95/col)
Thu Apr 17 04:31:08 2014  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Thu Apr 17 04:31:14 2014  commencing Lanczos iteration (4 threads)
Thu Apr 17 04:31:14 2014  memory use: 295.8 MB
Thu Apr 17 04:31:23 2014  linear algebra at 0.1%, ETA 2h 5m
Thu Apr 17 04:31:25 2014  checkpointing every 670000 dimensions
Thu Apr 17 06:24:01 2014  lanczos halted after 20171 iterations (dim = 1275573)
Thu Apr 17 06:24:03 2014  recovered 30 nontrivial dependencies
Thu Apr 17 06:24:03 2014  BLanczosTime: 6910
Thu Apr 17 06:24:03 2014  elapsed time 01:55:12
Thu Apr 17 06:24:03 2014 -> Running square root step ...
Thu Apr 17 06:24:07 2014  
Thu Apr 17 06:24:07 2014  commencing square root phase
Thu Apr 17 06:24:07 2014  reading relations for dependency 1
Thu Apr 17 06:24:09 2014  read 638165 cycles
Thu Apr 17 06:24:11 2014  cycles contain 2251012 unique relations
Thu Apr 17 06:30:56 2014  read 2251012 relations
Thu Apr 17 06:31:08 2014  multiplying 2251012 relations
Thu Apr 17 06:33:50 2014  multiply complete, coefficients have about 108.55 million bits
Thu Apr 17 06:33:51 2014  initial square root is modulo 61908703
Thu Apr 17 06:37:17 2014  sqrtTime: 790
Thu Apr 17 06:37:17 2014  prp36 factor: 230580497888424993436922462074805467
Thu Apr 17 06:37:17 2014  prp92 factor: 34618617733981724446599661510662008422776076093282549286834114258037860545880968877427223687
Thu Apr 17 06:37:17 2014  elapsed time 00:13:13
Thu Apr 17 06:37:17 2014 -> Computing 1.39771e+09 scale for this machine...
Thu Apr 17 06:37:17 2014 -> procrels -speedtest> PIPE
Thu Apr 17 06:37:23 2014 -> Factorization summary written to g127-15559_197.txt

<...What a painful ECM miss...>

Number: 15559_197
N = 7982378113310565044922041008716267827253054305967973231018278879950959985969853605371325460362989043818788793437166620419496829 (127 digits)
Divisors found:
r1=230580497888424993436922462074805467 (pp36)
r2=34618617733981724446599661510662008422776076093282549286834114258037860545880968877427223687 (pp92)
Version: Msieve v. 1.52 (SVN 959)
Total time: 38.79 hours.
Factorization parameters were as follows:
#
# C127, 15559_197
#
# Murphy_E = 1.065e-10, selected by Youcef Lemsafer
# msieve 1.52 (SVN 959) CPU win64, expecting poly E from 1.11e-010 to > 1.28e-010
#
n: 7982378113310565044922041008716267827253054305967973231018278879950959985969853605371325460362989043818788793437166620419496829
Y0: -2422085808068151846224436
Y1: 5935803660203
c0: 6627590829984535102757740366175
c1: 202804045060560550939056330
c2: -1756206147930431601997
c3: -16485909939309528
c4: 48002020700
c5: 95760
skew: 200058.37
type: gnfs
# selected mechanically
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
q0: 4000000
Factor base limits: 8100000/8100000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 16785625
Relations: 2251012 relations
Pruned matrix : 1275573 x 1275801
Polynomial selection time: 0.00 hours.
Total sieving time: 36.53 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 1.92 hours.
time per square root: 0.22 hours.
Prototype def-par.txt line would be: gnfs,126,5,67,2000,5e-06,0.28,250,20,50000,3600,8100000,8100000,28,28,53,53,2.5,2.5,100000
total time: 38.79 hours.
Intel64 Family 6 Model 44 Stepping 2, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 2, speed: 2.79GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 2, 2008 09:00:00 UTC 2008 年 4 月 2 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 7, 2010 23:09:23 UTC 2010 年 10 月 8 日 (金) 8 時 9 分 23 秒 (日本時間)
403e62210110Ignacio SantosOctober 7, 2010 23:09:23 UTC 2010 年 10 月 8 日 (金) 8 時 9 分 23 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:13 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 13 秒 (日本時間)
114Youcef LemsaferApril 13, 2014 15:50:56 UTC 2014 年 4 月 14 日 (月) 0 時 50 分 56 秒 (日本時間)
1686Youcef LemsaferApril 14, 2014 14:57:16 UTC 2014 年 4 月 14 日 (月) 23 時 57 分 16 秒 (日本時間)
4511e6132 / 397732Ignacio SantosOctober 7, 2010 23:09:23 UTC 2010 年 10 月 8 日 (金) 8 時 9 分 23 秒 (日本時間)
100Youcef LemsaferApril 14, 2014 14:57:16 UTC 2014 年 4 月 14 日 (月) 23 時 57 分 16 秒 (日本時間)

14×10199+319

c187

name 名前Robert Backstrom
date 日付September 12, 2012 15:07:55 UTC 2012 年 9 月 13 日 (木) 0 時 7 分 55 秒 (日本時間)
composite number 合成数
2312354837308439528683021082181722856390832332087240349348869845590589665188399590470809108838889844374258864827456381893677077993988933991536822036467619816553443922284580849613146822917<187>
prime factors 素因数
217877024595372337912026856111245803082506025875119252247531391962081<69>
10613119219903067549657117980514864581357027956092526623562808163493854105566508950865445600716890514040580403771560357<119>
factorization results 素因数分解の結果
Number: n
N=2312354837308439528683021082181722856390832332087240349348869845590589665188399590470809108838889844374258864827456381893677077993988933991536822036467619816553443922284580849613146822917
  ( 187 digits)
SNFS difficulty: 200 digits.
Divisors found:

Thu Sep 13 01:02:22 2012  prp69 factor: 217877024595372337912026856111245803082506025875119252247531391962081
Thu Sep 13 01:02:22 2012  prp119 factor: 10613119219903067549657117980514864581357027956092526623562808163493854105566508950865445600716890514040580403771560357
Thu Sep 13 01:02:22 2012  elapsed time 05:53:33 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.094).
Factorization parameters were as follows:
name: KA_15559_199
n: 2312354837308439528683021082181722856390832332087240349348869845590589665188399590470809108838889844374258864827456381893677077993988933991536822036467619816553443922284580849613146822917
m: 10000000000000000000000000000000000000000
#  c187, diff: 200.85
skew: 1.858
deg: 5
c5: 7
c0: 155
# Murphy_E = 1.401e-11
type: snfs
lss: 1
rlim: 15600000
alim: 15600000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 15600000/15600000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 26800000)
Primes: RFBsize:1006966, AFBsize:1005273,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9009429 hash collisions in 62186916 relations (55590293 unique)
Msieve: matrix is 1984612 x 1984837 (559.7 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,200,5,0,0,0,0,0,0,0,0,15600000,15600000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830713)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830455)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.15 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 2, 2008 09:00:00 UTC 2008 年 4 月 2 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 8, 2010 06:19:18 UTC 2010 年 10 月 8 日 (金) 15 時 19 分 18 秒 (日本時間)
403e6110 / 2144Ignacio SantosOctober 8, 2010 06:19:18 UTC 2010 年 10 月 8 日 (金) 15 時 19 分 18 秒 (日本時間)
4511e632 / 4441Ignacio SantosOctober 8, 2010 06:19:18 UTC 2010 年 10 月 8 日 (金) 15 時 19 分 18 秒 (日本時間)

14×10200+319

c159

name 名前Robert Backstrom
date 日付November 18, 2012 05:07:39 UTC 2012 年 11 月 18 日 (日) 14 時 7 分 39 秒 (日本時間)
composite number 合成数
220425119806944467664860118585385613504431714074388773825573958946577006407234329533991381891185035573202523418277602720342496845119559290332736552358101318189<159>
prime factors 素因数
2447154381250819573149562281510462227670001<43>
90074055603422157568635975003627516416620454226071466072363932284582246456797411276738362003100117332490990111688189<116>
factorization results 素因数分解の結果
Number: n
N=220425119806944467664860118585385613504431714074388773825573958946577006407234329533991381891185035573202523418277602720342496845119559290332736552358101318189
  ( 159 digits)
SNFS difficulty: 201 digits.
Divisors found:

Sun Nov 18 06:37:57 2012  prp43 factor: 2447154381250819573149562281510462227670001
Sun Nov 18 06:37:57 2012  prp116 factor: 90074055603422157568635975003627516416620454226071466072363932284582246456797411276738362003100117332490990111688189
Sun Nov 18 06:37:57 2012  elapsed time 05:31:54 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.084).
Factorization parameters were as follows:
name: KA_15559_200
n: 220425119806944467664860118585385613504431714074388773825573958946577006407234329533991381891185035573202523418277602720342496845119559290332736552358101318189
m: 10000000000000000000000000000000000000000
#  c159, diff: 201.15
skew: 1.172
deg: 5
c5: 14
c0: 31
# Murphy_E = 1.43e-11
type: snfs
lss: 1
rlim: 15800000
alim: 15800000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 15800000/15800000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 30700000)
Primes: RFBsize:1019012, AFBsize:1019853,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9405823 hash collisions in 64831460 relations (58023110 unique)
Msieve: matrix is 1911026 x 1911251 (536.2 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,15800000,15800000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830711)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.16 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 2, 2008 09:00:00 UTC 2008 年 4 月 2 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 8, 2010 06:19:44 UTC 2010 年 10 月 8 日 (金) 15 時 19 分 44 秒 (日本時間)
403e6110 / 2144Ignacio SantosOctober 8, 2010 06:19:44 UTC 2010 年 10 月 8 日 (金) 15 時 19 分 44 秒 (日本時間)
4511e632 / 4441Ignacio SantosOctober 8, 2010 06:19:44 UTC 2010 年 10 月 8 日 (金) 15 時 19 分 44 秒 (日本時間)

14×10201+319

c188

name 名前Bob Backstrom
date 日付May 29, 2021 15:42:19 UTC 2021 年 5 月 30 日 (日) 0 時 42 分 19 秒 (日本時間)
composite number 合成数
28964008527030282161341213792307888532776277991479886823618495835213572298979108798544087616714907602183036373071192703926602777821773201760234638079342622622547524724911983356592838499319<188>
prime factors 素因数
5491794761831555397837264339802062018554917887203250117723739370748826646050291747217568347<91>
5274051522888769540637830326177363220711399299185052924854373960578592329736068705660817456297877<97>
factorization results 素因数分解の結果
Number: n
N=28964008527030282161341213792307888532776277991479886823618495835213572298979108798544087616714907602183036373071192703926602777821773201760234638079342622622547524724911983356592838499319
  ( 188 digits)
SNFS difficulty: 202 digits.
Divisors found:

Sun May 30 01:35:39 2021  p91 factor: 5491794761831555397837264339802062018554917887203250117723739370748826646050291747217568347
Sun May 30 01:35:39 2021  p97 factor: 5274051522888769540637830326177363220711399299185052924854373960578592329736068705660817456297877
Sun May 30 01:35:39 2021  elapsed time 01:34:18 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 14x10^201+31 = 15(200)9
#
n: 28964008527030282161341213792307888532776277991479886823618495835213572298979108798544087616714907602183036373071192703926602777821773201760234638079342622622547524724911983356592838499319
m: 10000000000000000000000000000000000000000
deg: 5
c5: 140
c0: 31
skew: 0.74
# Murphy_E = 1.279e-11
type: snfs
lss: 1
rlim: 16400000
alim: 16400000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16400000/16400000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 28200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8190434 hash collisions in 58513588 relations (52585872 unique)
Msieve: matrix is 1997218 x 1997444 (698.6 MB)

Sieving start time : 2021/05/29 14:01:54
Sieving end time  : 2021/05/30 00:00:30

Total sieving time: 9hrs 58min 36secs.

Total relation processing time: 1hrs 16min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 35sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16400000,16400000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117662] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241088K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486148K reserved, 0K cma-reserved)
[    0.152608] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.07 BogoMIPS (lpj=12798140)
[    0.150211] smpboot: Total of 16 processors activated (102385.12 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 22, 2012 08:00:00 UTC 2012 年 11 月 22 日 (木) 17 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 24, 2012 18:50:52 UTC 2012 年 11 月 25 日 (日) 3 時 50 分 52 秒 (日本時間)
403e62084300Serge BatalovJanuary 9, 2014 04:39:14 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 14 秒 (日本時間)
1784Youcef LemsaferApril 14, 2014 06:48:11 UTC 2014 年 4 月 14 日 (月) 15 時 48 分 11 秒 (日本時間)
4511e6400 / 3968100Youcef LemsaferApril 14, 2014 08:27:37 UTC 2014 年 4 月 14 日 (月) 17 時 27 分 37 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:17 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 17 秒 (日本時間)

14×10203+319

c168

name 名前Warut Roonguthai
date 日付November 22, 2012 15:52:38 UTC 2012 年 11 月 23 日 (金) 0 時 52 分 38 秒 (日本時間)
composite number 合成数
113698680564213223984865344288596319052248727676416502029812178703430092740072352775502105255418510606815900456465042218166635257755500830003982279490184248562927199387<168>
prime factors 素因数
886842186934778048344853454731<30>
128206215535588953185891713718826212644641775582405704826193009334829506310222988519753265352942492481468423160581277167475769718268752177<138>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=325279801
Step 1 took 6817ms
Step 2 took 5600ms
********** Factor found in step 2: 886842186934778048344853454731
Found probable prime factor of 30 digits: 886842186934778048344853454731
Probable prime cofactor 128206215535588953185891713718826212644641775582405704826193009334829506310222988519753265352942492481468423160581277167475769718268752177 has 138 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 KamadaNovember 22, 2012 08:00:00 UTC 2012 年 11 月 22 日 (木) 17 時 0 分 0 秒 (日本時間)

14×10205+319

c175

name 名前Warut Roonguthai
date 日付November 22, 2012 15:55:06 UTC 2012 年 11 月 23 日 (金) 0 時 55 分 6 秒 (日本時間)
composite number 合成数
1077661122385637649105941595691658176364966953015759004850655946398834852274939484132664873015900093422819898230023113849240995932653178027998507163114276410159832288888773607<175>
prime factors 素因数
712403202769703709123970799527<30>
1512712349124586533156980783269889397818343792890280110158009741862053638639190352928032844925245344814723602708410298654748403074999225435759041<145>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2109907721
Step 1 took 7441ms
Step 2 took 4665ms
********** Factor found in step 2: 712403202769703709123970799527
Found probable prime factor of 30 digits: 712403202769703709123970799527
Probable prime cofactor 1512712349124586533156980783269889397818343792890280110158009741862053638639190352928032844925245344814723602708410298654748403074999225435759041 has 145 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 KamadaNovember 22, 2012 08:00:00 UTC 2012 年 11 月 22 日 (木) 17 時 0 分 0 秒 (日本時間)

14×10208+319

c190

name 名前Warut Roonguthai
date 日付November 22, 2012 15:57:56 UTC 2012 年 11 月 23 日 (金) 0 時 57 分 56 秒 (日本時間)
composite number 合成数
4200933270754180161401119549193130866044398983856945714138000618563166534189457547136134125088047237642061813946294659734162415173871304641442812164451694188848863400825220135676183951807913<190>
prime factors 素因数
205110121256094584606686222777987<33>
777789933047743982681073507713651<33>
26332759576798691312943237386913341649606230998624046171691220790666093579032741729750357403526283771171551231579464756096849<125>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3530478063
Step 1 took 9375ms
Step 2 took 5772ms
********** Factor found in step 2: 205110121256094584606686222777987
Found probable prime factor of 33 digits: 205110121256094584606686222777987
Composite cofactor 20481355308200593287961351908389662101534505537292809970749343697516910164277907174120370018512271572962651112315098603825967157608183267498415182732715385699 has 158 digits

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3084778904
Step 1 took 6396ms
********** Factor found in step 1: 777789933047743982681073507713651
Found probable prime factor of 33 digits: 777789933047743982681073507713651
Probable prime cofactor 26332759576798691312943237386913341649606230998624046171691220790666093579032741729750357403526283771171551231579464756096849 has 125 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 KamadaNovember 22, 2012 08:00:00 UTC 2012 年 11 月 22 日 (木) 17 時 0 分 0 秒 (日本時間)

14×10209+319

c183

composite cofactor 合成数の残り
170137437905451692634637787358646633356607481123479831282849221140563460581174994631744694850408319696749609076326420891321252181999312846945989553819829006122846171569713033327079351<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 22, 2012 08:00:00 UTC 2012 年 11 月 22 日 (木) 17 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 24, 2012 18:51:19 UTC 2012 年 11 月 25 日 (日) 3 時 51 分 19 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:39:14 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 14 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:37 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 37 秒 (日本時間)
4511e64150150Youcef LemsaferOctober 31, 2014 14:18:17 UTC 2014 年 10 月 31 日 (金) 23 時 18 分 17 秒 (日本時間)
4000ebinaDecember 6, 2023 20:51:31 UTC 2023 年 12 月 7 日 (木) 5 時 51 分 31 秒 (日本時間)

14×10213+319

c203

name 名前Bob Backstrom
date 日付August 22, 2020 19:08:10 UTC 2020 年 8 月 23 日 (日) 4 時 8 分 10 秒 (日本時間)
composite number 合成数
40640253176503468697269633546456453439720263873266242527377417275269903458169601896213071696472936081809003282686054325566886320473998976958244770263792157150956518517725485905783893713129316506920063049<203>
prime factors 素因数
9585442287990836890377590179015173199896713873238551301277981<61>
4239789042120652779317894425128298476498074376818683851787666318865878013704475363506508868133420110739136490186199285568081277671829035673629<142>
factorization results 素因数分解の結果
Number: n
N=40640253176503468697269633546456453439720263873266242527377417275269903458169601896213071696472936081809003282686054325566886320473998976958244770263792157150956518517725485905783893713129316506920063049  ( 203 digits)
SNFS difficulty: 214 digits.
Divisors found:

Sun Aug 23 04:58:31 2020  p61 factor: 9585442287990836890377590179015173199896713873238551301277981
Sun Aug 23 04:58:31 2020  p142 factor: 4239789042120652779317894425128298476498074376818683851787666318865878013704475363506508868133420110739136490186199285568081277671829035673629
Sun Aug 23 04:58:31 2020  elapsed time 06:53:09 (Msieve 1.54 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.941).
Factorization parameters were as follows:
#
# N = 14x10^213+31 = 15(212)9
#
n: 40640253176503468697269633546456453439720263873266242527377417275269903458169601896213071696472936081809003282686054325566886320473998976958244770263792157150956518517725485905783893713129316506920063049
m: 100000000000000000000000000000000000
deg: 6
c6: 14000
c0: 31
skew: 0.36
# Murphy_E = 2.98e-12
type: snfs
lss: 1
rlim: 26000000
alim: 26000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 26000000/26000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 89000000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10576114 hash collisions in 60159649 relations (51647891 unique)
Msieve: matrix is 3876548 x 3876774 (1356.7 MB)

Sieving start time: 2020/08/21 02:57:58
Sieving end time  : 2020/08/22 22:04:26

Total sieving time: 43hrs 6min 28secs.

Total relation processing time: 6hrs 5min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 28min 52sec.

Prototype def-par.txt line would be:
snfs,214,6,0,0,0,0,0,0,0,0,26000000,26000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.154206] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283136K/16703460K available (12300K kernel code, 2481K rwdata, 4272K rodata, 2436K init, 2720K bss, 420324K reserved, 0K cma-reserved)
[    0.188728] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.50 BogoMIPS (lpj=11977004)
[    0.186225] smpboot: Total of 16 processors activated (95816.03 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 22, 2012 08:00:00 UTC 2012 年 11 月 22 日 (木) 17 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 24, 2012 18:51:27 UTC 2012 年 11 月 25 日 (日) 3 時 51 分 27 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:39:15 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 15 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:38 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 38 秒 (日本時間)
4511e60 / 3906--
5043e644 / 7482CypJanuary 22, 2014 15:46:52 UTC 2014 年 1 月 23 日 (木) 0 時 46 分 52 秒 (日本時間)
5511e72 / 17740KTakahashiSeptember 14, 2014 03:07:36 UTC 2014 年 9 月 14 日 (日) 12 時 7 分 36 秒 (日本時間)

14×10217+319

c212

name 名前Warut Roonguthai
date 日付November 22, 2012 21:07:11 UTC 2012 年 11 月 23 日 (金) 6 時 7 分 11 秒 (日本時間)
composite number 合成数
13688800185463687084196583295029137100080480367376108291707158626500989162479116024217051962392172587610521172711689717139521824787464266120444428408992798615553860099875441696026698635881728375289017016058624829<212>
prime factors 素因数
5228203770703310981618350975439124470341<40>
composite cofactor 合成数の残り
2618260646643127228125101769417646563089959299651798556035366219277208482002624246028398583116987755176337997301386493996173436568791809862027750371663666016252467856009369<172>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=578531504
Step 1 took 11497ms
Step 2 took 7207ms
********** Factor found in step 2: 5228203770703310981618350975439124470341
Found probable prime factor of 40 digits: 5228203770703310981618350975439124470341
Composite cofactor 2618260646643127228125101769417646563089959299651798556035366219277208482002624246028398583116987755176337997301386493996173436568791809862027750371663666016252467856009369 has 172 digits
software ソフトウェア
GMP-ECM 6.3

c172

name 名前ebina
date 日付December 13, 2023 03:16:32 UTC 2023 年 12 月 13 日 (水) 12 時 16 分 32 秒 (日本時間)
composite number 合成数
2618260646643127228125101769417646563089959299651798556035366219277208482002624246028398583116987755176337997301386493996173436568791809862027750371663666016252467856009369<172>
prime factors 素因数
2793434189150129800761532221167342564287315888002563<52>
937290972099007241451176695753319930731346739212620793921070320268177187896177938969252785905432948326560126050915533363<120>
factorization results 素因数分解の結果
Number: 15559_217
N = 2618260646643127228125101769417646563089959299651798556035366219277208482002624246028398583116987755176337997301386493996173436568791809862027750371663666016252467856009369 (172 digits)
SNFS difficulty: 219 digits.
Divisors found:
r1=2793434189150129800761532221167342564287315888002563 (pp52)
r2=937290972099007241451176695753319930731346739212620793921070320268177187896177938969252785905432948326560126050915533363 (pp120)
Version: Msieve v. 1.54 (SVN 1018)
Total time: 139.71 hours.
Factorization parameters were as follows:
n: 2618260646643127228125101769417646563089959299651798556035366219277208482002624246028398583116987755176337997301386493996173436568791809862027750371663666016252467856009369
m: 1000000000000000000000000000000000000
deg: 6
c6: 140
c0: 31
skew: 0.78
# Murphy_E = 3.629e-12
type: snfs
lss: 1
rlim: 30000000
alim: 30000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 30000000/30000000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 53588105
Relations: 5717970 relations
Pruned matrix : 4070729 x 4070953
Total sieving time: 133.98 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 5.29 hours.
time per square root: 0.14 hours.
Prototype def-par.txt line would be: snfs,219,6,0,0,0,0,0,0,0,0,30000000,30000000,29,29,58,58,2.6,2.6,100000
total time: 139.71 hours.
Intel64 Family 6 Model 158 Stepping 12, GenuineIntel
processors: 16, speed: 3.60GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 22, 2012 08:00:00 UTC 2012 年 11 月 22 日 (木) 17 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 24, 2012 18:51:35 UTC 2012 年 11 月 25 日 (日) 3 時 51 分 35 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:39:16 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 16 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:38 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 38 秒 (日本時間)
4511e6960 / 4075Youcef LemsaferOctober 31, 2014 11:23:28 UTC 2014 年 10 月 31 日 (金) 20 時 23 分 28 秒 (日本時間)

14×10219+319

c195

name 名前Erik Branger
date 日付June 2, 2020 08:05:05 UTC 2020 年 6 月 2 日 (火) 17 時 5 分 5 秒 (日本時間)
composite number 合成数
296499956150339465706152208355145161002289846048787670098260664188598233535985104852851439020807396625533644505137826914998565269363253908821332329248665234419462658373212039425094097969081701409<195>
prime factors 素因数
5926985990624986703821018851601998915330391<43>
465951341490422389034556060724388683606906042678042173633483926729<66>
107361894478936651936906228971778006776574934675470658911525307282975405132767742162831<87>
factorization results 素因数分解の結果
Number: 15559_219
N = 296499956150339465706152208355145161002289846048787670098260664188598233535985104852851439020807396625533644505137826914998565269363253908821332329248665234419462658373212039425094097969081701409 (195 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=5926985990624986703821018851601998915330391 (pp43)
r2=465951341490422389034556060724388683606906042678042173633483926729 (pp66)
r3=107361894478936651936906228971778006776574934675470658911525307282975405132767742162831 (pp87)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 60.82 hours.
Factorization parameters were as follows:
n: 296499956150339465706152208355145161002289846048787670098260664188598233535985104852851439020807396625533644505137826914998565269363253908821332329248665234419462658373212039425094097969081701409
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 7
c0: 155
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 36197164
Relations: 7361718 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 29.05 hours.
Total relation processing time: 0.62 hours.
Pruned matrix : 6702303 x 6702529
Matrix solve time: 30.79 hours.
time per square root: 0.35 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 60.82 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 22, 2012 08:00:00 UTC 2012 年 11 月 22 日 (木) 17 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 24, 2012 18:51:53 UTC 2012 年 11 月 25 日 (日) 3 時 51 分 53 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:39:16 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 16 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:38 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 38 秒 (日本時間)
4511e6170 / 4075Youcef LemsaferOctober 30, 2014 21:25:52 UTC 2014 年 10 月 31 日 (金) 6 時 25 分 52 秒 (日本時間)

14×10220+319

c189

name 名前Warut Roonguthai
date 日付November 22, 2012 21:11:57 UTC 2012 年 11 月 23 日 (金) 6 時 11 分 57 秒 (日本時間)
composite number 合成数
633747199313033504108496810410523193085290140554128004043113919726299763493300838695336503300950165892736686450094443659727334133792722131782078072388129059335999457702288620405781300048867<189>
prime factors 素因数
12578573831836249185655944334114529<35>
composite cofactor 合成数の残り
50383072658764020465108412348393208292535472878161095950380999537189154794069861739493390800356652627375100793334111718893314340903213993510336333532864323<155>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=946743377
Step 1 took 8846ms
Step 2 took 6021ms
********** Factor found in step 2: 12578573831836249185655944334114529
Found probable prime factor of 35 digits: 12578573831836249185655944334114529
Composite cofactor 50383072658764020465108412348393208292535472878161095950380999537189154794069861739493390800356652627375100793334111718893314340903213993510336333532864323 has 155 digits
software ソフトウェア
GMP-ECM 6.3

c155

name 名前Erik Branger
date 日付November 25, 2018 21:05:35 UTC 2018 年 11 月 26 日 (月) 6 時 5 分 35 秒 (日本時間)
composite number 合成数
50383072658764020465108412348393208292535472878161095950380999537189154794069861739493390800356652627375100793334111718893314340903213993510336333532864323<155>
prime factors 素因数
33179384004683810216595792352824538240726660697077110857<56>
1518505366213297676559728582392029343418651957587444430772063646547145547819716567285239524652413739<100>
factorization results 素因数分解の結果
Number: 15559_220
N = 50383072658764020465108412348393208292535472878161095950380999537189154794069861739493390800356652627375100793334111718893314340903213993510336333532864323 (155 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=33179384004683810216595792352824538240726660697077110857 (pp56)
r2=1518505366213297676559728582392029343418651957587444430772063646547145547819716567285239524652413739 (pp100)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 30.01 hours.
Factorization parameters were as follows:
n: 50383072658764020465108412348393208292535472878161095950380999537189154794069861739493390800356652627375100793334111718893314340903213993510336333532864323
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 14
c0: 31
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30101498
Relations: 7193964 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 14.26 hours.
Total relation processing time: 0.23 hours.
Pruned matrix : 6319761 x 6319987
Matrix solve time: 15.40 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 30.01 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFs, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 22, 2012 08:00:00 UTC 2012 年 11 月 22 日 (木) 17 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 24, 2012 18:52:01 UTC 2012 年 11 月 25 日 (日) 3 時 52 分 1 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2014 04:39:17 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 17 秒 (日本時間)
4511e6806 / 4363506CypFebruary 19, 2014 16:41:28 UTC 2014 年 2 月 20 日 (木) 1 時 41 分 28 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:17 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 17 秒 (日本時間)

14×10221+319

c157

name 名前Erik Branger
date 日付June 4, 2020 19:18:04 UTC 2020 年 6 月 5 日 (金) 4 時 18 分 4 秒 (日本時間)
composite number 合成数
4782203998531338682428666408107426139458491555503838979122680069787696598854499134477725509341172720028088709128414401961927386378563699912859268177078457059<157>
prime factors 素因数
19790393773863997939766074397190593136142148051104421984135171055276965587<74>
241642690548528273370965983655680852160035041715474789816280852353696761224356327857<84>
factorization results 素因数分解の結果
Number: 15559_221
N = 4782203998531338682428666408107426139458491555503838979122680069787696598854499134477725509341172720028088709128414401961927386378563699912859268177078457059 (157 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=19790393773863997939766074397190593136142148051104421984135171055276965587 (pp74)
r2=241642690548528273370965983655680852160035041715474789816280852353696761224356327857 (pp84)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 56.89 hours.
Factorization parameters were as follows:
n: 4782203998531338682428666408107426139458491555503838979122680069787696598854499134477725509341172720028088709128414401961927386378563699912859268177078457059
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 140
c0: 31
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 35776999
Relations: 7948690 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 28.08 hours.
Total relation processing time: 0.41 hours.
Pruned matrix : 6993712 x 6993937
Matrix solve time: 27.81 hours.
time per square root: 0.59 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 56.89 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 22, 2012 08:00:00 UTC 2012 年 11 月 22 日 (木) 17 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 24, 2012 18:52:08 UTC 2012 年 11 月 25 日 (日) 3 時 52 分 8 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:39:17 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 17 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:39 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 39 秒 (日本時間)
4511e6130 / 4075Youcef LemsaferOctober 30, 2014 17:59:32 UTC 2014 年 10 月 31 日 (金) 2 時 59 分 32 秒 (日本時間)

14×10222+319

c212

name 名前Bob Backstrom
date 日付May 2, 2020 15:17:20 UTC 2020 年 5 月 3 日 (日) 0 時 17 分 20 秒 (日本時間)
composite number 合成数
18407631892212014268391747338871664365922152416944008621496022966800930869858820813830262889201912880761442955852033369166331825869928196529047848341893142032955158271246929866401713784208820113199043549370697983<212>
prime factors 素因数
46952757328401583472913863613366238993786300016528303819642161<62>
392045812420845674205266921083602514575262009925007212862942042654764968195231298277320235785307017352789801082584719328227395323490823174401911731503<150>
factorization results 素因数分解の結果
Number: n
N=18407631892212014268391747338871664365922152416944008621496022966800930869858820813830262889201912880761442955852033369166331825869928196529047848341893142032955158271246929866401713784208820113199043549370697983  ( 212 digits)
SNFS difficulty: 223 digits.
Divisors found:

Sun May  3 00:50:46 2020  p62 factor: 46952757328401583472913863613366238993786300016528303819642161
Sun May  3 00:50:46 2020  p150 factor: 392045812420845674205266921083602514575262009925007212862942042654764968195231298277320235785307017352789801082584719328227395323490823174401911731503
Sun May  3 00:50:46 2020  elapsed time 09:50:00 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.116).
Factorization parameters were as follows:
#
# N = 14x10^222+31 = 15(221)9
#
n: 18407631892212014268391747338871664365922152416944008621496022966800930869858820813830262889201912880761442955852033369166331825869928196529047848341893142032955158271246929866401713784208820113199043549370697983
m: 10000000000000000000000000000000000000
deg: 6
c6: 14
c0: 31
skew: 1.14
# Murphy_E = 2.517e-12
type: snfs
lss: 1
rlim: 37000000
alim: 37000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 37000000/37000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 80100000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9838570 hash collisions in 60548572 relations (53096288 unique)
Msieve: matrix is 4541812 x 4542037 (1593.7 MB)

Sieving start time: 2020/04/30 23:57:31
Sieving end time  : 2020/05/02 14:59:47

Total sieving time: -681hrs 2min 16secs.

Total relation processing time: 9hrs 13min 7sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 16min 41sec.

Prototype def-par.txt line would be:
snfs,223,6,0,0,0,0,0,0,0,0,37000000,37000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.141282] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283232K/16703460K available (12300K kernel code, 2481K rwdata, 4264K rodata, 2432K init, 2712K bss, 420228K reserved, 0K cma-reserved)
[    0.176568] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.77 BogoMIPS (lpj=11977540)
[    0.174220] smpboot: Total of 16 processors activated (95820.32 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 22, 2012 08:00:00 UTC 2012 年 11 月 22 日 (木) 17 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 24, 2012 18:52:15 UTC 2012 年 11 月 25 日 (日) 3 時 52 分 15 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:39:18 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 18 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:39 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 39 秒 (日本時間)
4511e6130 / 4075Youcef LemsaferOctober 30, 2014 14:49:47 UTC 2014 年 10 月 30 日 (木) 23 時 49 分 47 秒 (日本時間)

14×10223+319

c215

name 名前Serge Batalov
date 日付January 9, 2014 08:55:33 UTC 2014 年 1 月 9 日 (木) 17 時 55 分 33 秒 (日本時間)
composite number 合成数
25018678547785492585745081540143539546487010838480587352093452554477659208130563578120968248328814060208699786944096562846572305643226232303763941044992985869611726687387003998356001902862789974211119646072463326039<215>
prime factors 素因数
9802082441637807160189027793213046461<37>
2552384016023964369835376169888753703695879524574634284601974718627013009312215371741833408848624742986068372901853984182543924063096753863832664014403295569294115319149471022499<178>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3863108851
Step 1 took 18420ms
Step 2 took 6341ms
********** Factor found in step 2: 9802082441637807160189027793213046461
Found probable prime factor of 37 digits: 9802082441637807160189027793213046461
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 22, 2012 08:00:00 UTC 2012 年 11 月 22 日 (木) 17 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 24, 2012 18:52:54 UTC 2012 年 11 月 25 日 (日) 3 時 52 分 54 秒 (日本時間)
403e6300 / 2045Serge BatalovJanuary 9, 2014 04:39:18 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 18 秒 (日本時間)

14×10225+319

c204

composite cofactor 合成数の残り
426945248919676776178614016339339596221717197470111303856976863199672756277697760163562789609281753272109245083490829468694375102496716905521319251707352628322611298790234662407739987891567798321544982493<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 22, 2012 08:00:00 UTC 2012 年 11 月 22 日 (木) 17 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 24, 2012 18:53:12 UTC 2012 年 11 月 25 日 (日) 3 時 53 分 12 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:39:19 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 19 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:39 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 39 秒 (日本時間)
4511e6144 / 4075Youcef LemsaferOctober 30, 2014 09:35:20 UTC 2014 年 10 月 30 日 (木) 18 時 35 分 20 秒 (日本時間)

14×10226+319

c163

composite cofactor 合成数の残り
4245445083499078259213639133242514481237958753524464933716588679390757884792067918141813345745583652379645717234214192657781744124674908214548240853218094581868727<163>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 22, 2012 08:00:00 UTC 2012 年 11 月 22 日 (木) 17 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 24, 2012 18:53:19 UTC 2012 年 11 月 25 日 (日) 3 時 53 分 19 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:39:20 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 20 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:40 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 40 秒 (日本時間)
4511e6144 / 4075Youcef LemsaferOctober 30, 2014 07:16:40 UTC 2014 年 10 月 30 日 (木) 16 時 16 分 40 秒 (日本時間)

14×10230+319

c202

composite cofactor 合成数の残り
2121489037830086007565338306890680782840742699101700498926417424360014459954843355888233034910124473827867158416157443028966006780682515348330620699293795880484684663385965664818458892149797422114970883<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 22, 2012 08:00:00 UTC 2012 年 11 月 22 日 (木) 17 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 24, 2012 18:53:29 UTC 2012 年 11 月 25 日 (日) 3 時 53 分 29 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:39:20 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 20 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:40 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 40 秒 (日本時間)
4511e6130 / 4075Youcef LemsaferOctober 29, 2014 18:05:52 UTC 2014 年 10 月 30 日 (木) 3 時 5 分 52 秒 (日本時間)

14×10232+319

c205

name 名前Serge Batalov
date 日付May 26, 2014 22:55:16 UTC 2014 年 5 月 27 日 (火) 7 時 55 分 16 秒 (日本時間)
composite number 合成数
4212026457992572729791115656895650947858581992647582481162897021112293186221213646453979809975021648027054407128325323759482306114788296967363184118580967309120634966852948165870873037370171995903904768347<205>
prime factors 素因数
25251918571179501579848419569389845879039<41>
166800255042792638208995397809927380318702802222345086602356596038249002385565354020364009630583723359137796990669583657636418106716217280016690993189703122997361573<165>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2030439332
Step 1 took 18067ms
********** Factor found in step 1: 25251918571179501579848419569389845879039
Found probable prime factor of 41 digits: 25251918571179501579848419569389845879039
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 22, 2012 08:00:00 UTC 2012 年 11 月 22 日 (木) 17 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 24, 2012 18:53:36 UTC 2012 年 11 月 25 日 (日) 3 時 53 分 36 秒 (日本時間)
403e61600 / 1625300Serge BatalovJanuary 9, 2014 04:39:21 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 21 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:40 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 40 秒 (日本時間)
4511e60 / 3921--
5043e644 / 7486CypJanuary 11, 2014 03:09:10 UTC 2014 年 1 月 11 日 (土) 12 時 9 分 10 秒 (日本時間)

14×10233+319

c182

composite cofactor 合成数の残り
11428576879769488505481876554888857342786685659305751200394763170129871319207837869270365871087399330403414034953975443501047041635258020661947374731478812740344424216595995701720271<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 22, 2012 08:00:00 UTC 2012 年 11 月 22 日 (木) 17 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 24, 2012 18:53:42 UTC 2012 年 11 月 25 日 (日) 3 時 53 分 42 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:39:21 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 21 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:41 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 41 秒 (日本時間)
4511e60 / 3906--
5043e644 / 7482CypJanuary 31, 2014 17:03:24 UTC 2014 年 2 月 1 日 (土) 2 時 3 分 24 秒 (日本時間)
5511e72 / 17740KTakahashiSeptember 14, 2014 01:53:33 UTC 2014 年 9 月 14 日 (日) 10 時 53 分 33 秒 (日本時間)

14×10234+319

c203

composite cofactor 合成数の残り
11420456044760481735989518198966278663433506001938070212918975570451663925092212666185124050205365394089186711246671491218778318909537398917513744400313905930425211072725648715500902487623149787039251281<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 22, 2012 08:00:00 UTC 2012 年 11 月 22 日 (木) 17 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 24, 2012 18:53:56 UTC 2012 年 11 月 25 日 (日) 3 時 53 分 56 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:39:22 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 22 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:41 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 41 秒 (日本時間)
4511e60 / 3906--
5043e644 / 7482CypJanuary 26, 2014 09:32:52 UTC 2014 年 1 月 26 日 (日) 18 時 32 分 52 秒 (日本時間)
5511e72 / 17740KTakahashiSeptember 14, 2014 02:54:17 UTC 2014 年 9 月 14 日 (日) 11 時 54 分 17 秒 (日本時間)

14×10236+319

c199

composite cofactor 合成数の残り
1584922794425009324513500568088279630853557654833937683869389144522850261787399543614541352984670923284520352482554036141463925158553757407329003335408115697640923635278134516646079813647065412206537<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 22, 2012 08:00:00 UTC 2012 年 11 月 22 日 (木) 17 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 24, 2012 18:54:03 UTC 2012 年 11 月 25 日 (日) 3 時 54 分 3 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:39:22 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 22 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:42 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 42 秒 (日本時間)
4511e60 / 3906--
5043e644 / 7482CypJanuary 22, 2014 03:49:20 UTC 2014 年 1 月 22 日 (水) 12 時 49 分 20 秒 (日本時間)
5511e72 / 17740KTakahashiSeptember 14, 2014 02:40:52 UTC 2014 年 9 月 14 日 (日) 11 時 40 分 52 秒 (日本時間)

14×10237+319

c198

name 名前Warut Roonguthai
date 日付November 23, 2012 06:46:37 UTC 2012 年 11 月 23 日 (金) 15 時 46 分 37 秒 (日本時間)
composite number 合成数
446215722717230898165722771733533462833051113622341816626529641064781009491583442900897933633058997479079386939968027434581152001447164900081443274829864757097276128802507943705930067650532022322319<198>
prime factors 素因数
268209324880096649039436852820831699<36>
658646321954151880836663686570841973<36>
2525914959329121838930514808834170812330841845072908198789523675707510456390693972965942428575334180880533992164477232572208097<127>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=889784741
Step 1 took 9860ms
Step 2 took 5772ms
********** Factor found in step 2: 658646321954151880836663686570841973
Found probable prime factor of 36 digits: 658646321954151880836663686570841973
Composite cofactor 677473945946200553397335814893865673623124814271039526257663251804074516164561207214787641471784273612723817660514188921735938022192105794307237293654356442066803 has 162 digits

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=983422035
Step 1 took 6443ms
Step 2 took 4602ms
********** Factor found in step 2: 268209324880096649039436852820831699
Found probable prime factor of 36 digits: 268209324880096649039436852820831699
Probable prime cofactor 2525914959329121838930514808834170812330841845072908198789523675707510456390693972965942428575334180880533992164477232572208097 has 127 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 KamadaNovember 22, 2012 08:00:00 UTC 2012 年 11 月 22 日 (木) 17 時 0 分 0 秒 (日本時間)

14×10238+319

c237

name 名前Dmitry Domanov
date 日付February 1, 2013 10:44:47 UTC 2013 年 2 月 1 日 (金) 19 時 44 分 47 秒 (日本時間)
composite number 合成数
103016924208977189109639440765268579838116261957321559970566593083149374540103016924208977189109639440765268579838116261957321559970566593083149374540103016924208977189109639440765268579838116261957321559970566593083149374540103016924209<237>
prime factors 素因数
181252198314240645091313043399389953620708577507<48>
568362343558308957027191160770629099380277690174184565714323012102710427556565946681369074278302389594366970578606764804654225874492605786485669587576680565355632950580776535081847307847387<189>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1906980194
Step 1 took 707713ms
Step 2 took 160375ms
********** Factor found in step 2: 181252198314240645091313043399389953620708577507
Found probable prime factor of 48 digits: 181252198314240645091313043399389953620708577507

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 22, 2012 08:00:00 UTC 2012 年 11 月 22 日 (木) 17 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 24, 2012 18:54:11 UTC 2012 年 11 月 25 日 (日) 3 時 54 分 11 秒 (日本時間)
403e60--
4511e61000 / 3376Dmitry DomanovDecember 28, 2012 15:32:59 UTC 2012 年 12 月 29 日 (土) 0 時 32 分 59 秒 (日本時間)
5043e6300 / 7322Dmitry DomanovJanuary 31, 2013 14:30:33 UTC 2013 年 1 月 31 日 (木) 23 時 30 分 33 秒 (日本時間)

14×10239+319

c218

composite cofactor 合成数の残り
20256572486167370768874234465526232824840782463541076166344709187827440306048067311967053970599413999912582118815153493472277674896918002222094896931763900716596411425875643221789844366566286959992561648728287918407099<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 22, 2012 08:00:00 UTC 2012 年 11 月 22 日 (木) 17 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 24, 2012 18:54:28 UTC 2012 年 11 月 25 日 (日) 3 時 54 分 28 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:39:23 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 23 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:42 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 42 秒 (日本時間)
4511e6130 / 4075Youcef LemsaferOctober 28, 2014 17:12:58 UTC 2014 年 10 月 29 日 (水) 2 時 12 分 58 秒 (日本時間)

14×10240+319

c216

composite cofactor 合成数の残り
392258431884075740856588555514157675035766619188169996060777766825940774768678650538824200122104260983438198408939137438046965458770892294028714312334182685466026949684586990337738536201022716062088852544267039663863<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 22, 2012 08:00:00 UTC 2012 年 11 月 22 日 (木) 17 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 24, 2012 18:54:35 UTC 2012 年 11 月 25 日 (日) 3 時 54 分 35 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:39:24 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 24 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:42 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 42 秒 (日本時間)
4511e6130 / 4075Youcef LemsaferOctober 28, 2014 13:55:37 UTC 2014 年 10 月 28 日 (火) 22 時 55 分 37 秒 (日本時間)

14×10241+319

c235

composite cofactor 合成数の残り
3843133502195129229069890045479916374513030377472298076069721798585380989176994882071664173159297581705498648356221801179496103158707111693839953858241134501794153150023002526558317203839279388311499256614451384320020801234590167008033<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 22, 2012 08:00:00 UTC 2012 年 11 月 22 日 (木) 17 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 24, 2012 18:54:44 UTC 2012 年 11 月 25 日 (日) 3 時 54 分 44 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:39:24 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 24 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:43 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 43 秒 (日本時間)
4511e6160 / 4075Youcef LemsaferOctober 28, 2014 08:39:17 UTC 2014 年 10 月 28 日 (火) 17 時 39 分 17 秒 (日本時間)

14×10243+319

c238

composite cofactor 合成数の残り
9156197535805637470822795530990785595208431026690969830983133630124936315376067923289377045020369269446619041359198283343764858383054756023306446813283549779302938681599116819346260576225671492636782145938016466767254036738588598310419949<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 22, 2012 08:00:00 UTC 2012 年 11 月 22 日 (木) 17 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 24, 2012 18:55:03 UTC 2012 年 11 月 25 日 (日) 3 時 55 分 3 秒 (日本時間)
403e60--
4511e6600Dmitry DomanovDecember 21, 2012 23:02:46 UTC 2012 年 12 月 22 日 (土) 8 時 2 分 46 秒 (日本時間)
5043e61100 / 7412600Dmitry DomanovDecember 31, 2012 00:22:15 UTC 2012 年 12 月 31 日 (月) 9 時 22 分 15 秒 (日本時間)
500Dmitry DomanovJanuary 5, 2013 15:25:18 UTC 2013 年 1 月 6 日 (日) 0 時 25 分 18 秒 (日本時間)

14×10245+319

c230

composite cofactor 合成数の残り
37229432651030090424437391873854690639788916728354839679624508073348006088672199506246812999097698526458291208209922680680203174864837320626831021047283420957083651482331749402682161646340969626402906300166116338855921146848982449<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 22, 2012 08:00:00 UTC 2012 年 11 月 22 日 (木) 17 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 24, 2012 18:55:09 UTC 2012 年 11 月 25 日 (日) 3 時 55 分 9 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2014 04:39:28 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 28 秒 (日本時間)
4511e6816 / 4363516CypJanuary 10, 2014 04:25:06 UTC 2014 年 1 月 10 日 (金) 13 時 25 分 6 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:18 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 18 秒 (日本時間)

14×10246+319

c217

name 名前Serge Batalov
date 日付May 27, 2014 06:09:32 UTC 2014 年 5 月 27 日 (火) 15 時 9 分 32 秒 (日本時間)
composite number 合成数
3113783268618451692565654882934494981333593358979843125511553678220216753974192397617141015799172702186860430012417258102781324327201131672970147542134508498118004862183818443324025503767847332418909118492275510255407<217>
prime factors 素因数
7542015722336657149965796819380817895466487<43>
composite cofactor 合成数の残り
412858230909885130203340633239638080463335259900249683993983404312837755474276227943056882151721280749961868411837345256447021019850031089703519781675563177674187393031873161<174>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=2755572571
Step 1 took 66599ms
Step 2 took 29967ms
********** Factor found in step 2: 7542015722336657149965796819380817895466487
Found probable prime factor of 43 digits: 7542015722336657149965796819380817895466487
Composite cofactor 

c174

name 名前Serge Batalov
date 日付May 27, 2014 15:52:28 UTC 2014 年 5 月 28 日 (水) 0 時 52 分 28 秒 (日本時間)
composite number 合成数
412858230909885130203340633239638080463335259900249683993983404312837755474276227943056882151721280749961868411837345256447021019850031089703519781675563177674187393031873161<174>
prime factors 素因数
2030045119039982619256825783171348022543<40>
203373918657102373618182154036907544965513977348562416439330891206599911123219720408722337238395505359620110667872451776899776540151527<135>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=286862410
Step 1 took 73790ms
Step 2 took 35793ms
********** Factor found in step 2: 2030045119039982619256825783171348022543
Found probable prime factor of 40 digits: 2030045119039982619256825783171348022543

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 22, 2012 08:00:00 UTC 2012 年 11 月 22 日 (木) 17 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 24, 2012 18:55:16 UTC 2012 年 11 月 25 日 (日) 3 時 55 分 16 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2014 04:39:29 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 29 秒 (日本時間)
4511e6806 / 4363506CypMarch 7, 2014 03:01:17 UTC 2014 年 3 月 7 日 (金) 12 時 1 分 17 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:18 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 18 秒 (日本時間)

14×10247+319

c221

name 名前Warut Roonguthai
date 日付November 22, 2012 16:10:30 UTC 2012 年 11 月 23 日 (金) 1 時 10 分 30 秒 (日本時間)
composite number 合成数
13450007545031339044516217071677028285675159347938606291237286804302167769289598353220858836058578381047502666435829311556152231453267868204331811022096897591953039736344320649402922357518889984869398835445637464481097707<221>
prime factors 素因数
20732435723604948286344359859611<32>
composite cofactor 合成数の残り
648742276322015129209817197897867619406592714359218881532015962414853865206608007439891492604644045451544270420666724711867493741867735044190558742764837776720844317770122285796041593521137<189>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3881709504
Step 1 took 11420ms
Step 2 took 6396ms
********** Factor found in step 2: 20732435723604948286344359859611
Found probable prime factor of 32 digits: 20732435723604948286344359859611
Composite cofactor 648742276322015129209817197897867619406592714359218881532015962414853865206608007439891492604644045451544270420666724711867493741867735044190558742764837776720844317770122285796041593521137 has 189 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
351e61118118Makoto KamadaNovember 22, 2012 08:00:00 UTC 2012 年 11 月 22 日 (木) 17 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 24, 2012 18:55:24 UTC 2012 年 11 月 25 日 (日) 3 時 55 分 24 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:39:29 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 29 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:43 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 43 秒 (日本時間)
4511e60 / 3906--
5043e644 / 7482CypJanuary 24, 2014 05:25:11 UTC 2014 年 1 月 24 日 (金) 14 時 25 分 11 秒 (日本時間)
5511e72 / 17740KTakahashiSeptember 14, 2014 01:54:38 UTC 2014 年 9 月 14 日 (日) 10 時 54 分 38 秒 (日本時間)

14×10248+319

c231

name 名前Warut Roonguthai
date 日付November 22, 2012 14:53:37 UTC 2012 年 11 月 22 日 (木) 23 時 53 分 37 秒 (日本時間)
composite number 合成数
509975998579813906008586218775244527803544371932699121525955313794167719692667056604695796463390944753480495954677241777311010275080493669712873136974454047591245536204587928502862422517085377013114047819952597100415266798730417239<231>
prime factors 素因数
50147802319311827677394734037533<32>
10169458580309970519550300839640356356295659787330893418031902990000916011847332433507332096398556652169509053877066339544879528464227761076677347399037889802059380381149002666055080112129837008494083<200>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1508701698
Step 1 took 11451ms
Step 2 took 7004ms
********** Factor found in step 2: 50147802319311827677394734037533
Found probable prime factor of 32 digits: 50147802319311827677394734037533
Probable prime cofactor 10169458580309970519550300839640356356295659787330893418031902990000916011847332433507332096398556652169509053877066339544879528464227761076677347399037889802059380381149002666055080112129837008494083 has 200 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 KamadaNovember 22, 2012 08:00:00 UTC 2012 年 11 月 22 日 (木) 17 時 0 分 0 秒 (日本時間)

14×10251+319

c193

composite cofactor 合成数の残り
1930909659525415490484129612445344812992015672981092868962433817629334841239933258042283375822281169548545047956135561930606432181197358916254830064993415611091060487202382484362233505627639853<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6400Erik BrangerNovember 20, 2015 20:36:54 UTC 2015 年 11 月 21 日 (土) 5 時 36 分 54 秒 (日本時間)
4511e6600 / 4390Dmitry DomanovJanuary 23, 2017 13:21:34 UTC 2017 年 1 月 23 日 (月) 22 時 21 分 34 秒 (日本時間)

14×10252+319

c234

composite cofactor 合成数の残り
225847899972741144468542734278480940708695529860482799596964461285814962836005731041191858867545391618742674552708310276143319206284116003824569052083153913527061106224425999434384053570726281365209387670534684228819822936591462492091<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6400Erik BrangerNovember 20, 2015 20:36:59 UTC 2015 年 11 月 21 日 (土) 5 時 36 分 59 秒 (日本時間)
4511e61000 / 4390Lionel DebrouxJuly 11, 2020 17:51:08 UTC 2020 年 7 月 12 日 (日) 2 時 51 分 8 秒 (日本時間)

14×10253+319

c233

name 名前Erik Branger
date 日付November 20, 2015 20:37:18 UTC 2015 年 11 月 21 日 (土) 5 時 37 分 18 秒 (日本時間)
composite number 合成数
34278728832684851129747067214601435142831097853387726931272732189056011398876176572686816900463008332180870181809655438961985561477915218494358027601486719498499953370942599601904556031600901709086668313905566224189504937895415097043<233>
prime factors 素因数
18707300651625109786379361281<29>
1832371728612115179818561998226326894913631718769833920508498776388038003813104591984666513754028290347191794837062846072184114964064567129788341585368969324087870923213202968449125045369769370788120597203<205>
factorization results 素因数分解の結果
Fri 2015/11/20 19:57:21 UTC GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Fri 2015/11/20 19:57:21 UTC Input number is 34278728832684851129747067214601435142831097853387726931272732189056011398876176572686816900463008332180870181809655438961985561477915218494358027601486719498499953370942599601904556031600901709086668313905566224189504937895415097043 (233 digits)
Fri 2015/11/20 19:57:21 UTC Run 110 out of 400:
Fri 2015/11/20 19:57:21 UTC Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:767410044
Fri 2015/11/20 19:57:21 UTC Step 1 took 16797ms
Fri 2015/11/20 19:57:21 UTC Step 2 took 8312ms
Fri 2015/11/20 19:57:21 UTC ********** Factor found in step 2: 18707300651625109786379361281
Fri 2015/11/20 19:57:21 UTC Found probable prime factor of 29 digits: 18707300651625109786379361281
Fri 2015/11/20 19:57:21 UTC Probable prime cofactor 1832371728612115179818561998226326894913631718769833920508498776388038003813104591984666513754028290347191794837062846072184114964064567129788341585368969324087870923213202968449125045369769370788120597203 has 205 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
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)

14×10254+319

c238

composite cofactor 合成数の残り
1112942073537949898876310736991337228564208399868129275285274280978203381273791950097018858186815613622343708317256607026104998628520300027457532823016161761112363131947578344849176478315283992982006553799899605979511818239521620652146361<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6400Erik BrangerNovember 20, 2015 20:41:54 UTC 2015 年 11 月 21 日 (土) 5 時 41 分 54 秒 (日本時間)
4511e60 / 2987--
5043e6400 / 7538Lionel DebrouxOctober 18, 2020 17:11:11 UTC 2020 年 10 月 19 日 (月) 2 時 11 分 11 秒 (日本時間)

14×10255+319

c256

name 名前Dmitry Domanov
date 日付January 9, 2017 08:17:45 UTC 2017 年 1 月 9 日 (月) 17 時 17 分 45 秒 (日本時間)
composite number 合成数
1555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559<256>
prime factors 素因数
111351632701929312477234850547996000078768113<45>
13969759740474856313303831131297756653506450019163752389342424255264269061177871209595272174487157150536398114905722109864617551691356946189235463890467655802022203306522994673887824006558523026326438264368825943<212>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=209149487
Step 1 took 611277ms
Step 2 took 117244ms
********** Factor found in step 2: 111351632701929312477234850547996000078768113
Found probable prime factor of 45 digits: 111351632701929312477234850547996000078768113

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
403e61000400Erik BrangerNovember 20, 2015 23:42:43 UTC 2015 年 11 月 21 日 (土) 8 時 42 分 43 秒 (日本時間)
600Dmitry DomanovNovember 21, 2015 09:25:07 UTC 2015 年 11 月 21 日 (土) 18 時 25 分 7 秒 (日本時間)
4511e621161700Serge BatalovDecember 19, 2015 07:52:05 UTC 2015 年 12 月 19 日 (土) 16 時 52 分 5 秒 (日本時間)
416Ignacio SantosFebruary 18, 2016 19:57:36 UTC 2016 年 2 月 19 日 (金) 4 時 57 分 36 秒 (日本時間)
5043e62600 / 7035600Dmitry DomanovFebruary 9, 2016 15:43:47 UTC 2016 年 2 月 10 日 (水) 0 時 43 分 47 秒 (日本時間)
2000Dmitry DomanovJanuary 6, 2017 23:53:44 UTC 2017 年 1 月 7 日 (土) 8 時 53 分 44 秒 (日本時間)

14×10256+319

c215

composite cofactor 合成数の残り
75539172719454172103811535485825040022102744877930546686252722677972749053791582832029445906604472709950460291644367044404937598087373378326992819821873872034550473255162577156120960891606054748299873637925179402681<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6400Erik BrangerNovember 20, 2015 23:42:54 UTC 2015 年 11 月 21 日 (土) 8 時 42 分 54 秒 (日本時間)
4511e62100 / 4390Eric JeancolasNovember 7, 2020 04:50:55 UTC 2020 年 11 月 7 日 (土) 13 時 50 分 55 秒 (日本時間)

14×10258+319

c225

name 名前Erik Branger
date 日付November 20, 2015 23:43:28 UTC 2015 年 11 月 21 日 (土) 8 時 43 分 28 秒 (日本時間)
composite number 合成数
946003123950096884026780323679478745862524463651961596418544031424566202101594711343667757710859713765333667783349878840835987394858226247693318953688803710272655855738384022150721671082257652482242351421606239877587721958069<225>
prime factors 素因数
35782622157668801793169369611973<32>
26437501415679591993324584261392745343392109542278755386720499983713741336269959923719461792605649732065480870675491612921528007181977525619511305614519602311460946593283342403356505238314869553<194>
factorization results 素因数分解の結果
Fri 2015/11/20 22:02:30 UTC GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Fri 2015/11/20 22:02:30 UTC Input number is 946003123950096884026780323679478745862524463651961596418544031424566202101594711343667757710859713765333667783349878840835987394858226247693318953688803710272655855738384022150721671082257652482242351421606239877587721958069 (225 digits)
Fri 2015/11/20 22:02:30 UTC Run 1 out of 400:
Fri 2015/11/20 22:02:30 UTC Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2736214813
Fri 2015/11/20 22:02:30 UTC Step 1 took 13203ms
Fri 2015/11/20 22:02:30 UTC Step 2 took 7407ms
Fri 2015/11/20 22:02:30 UTC ********** Factor found in step 2: 35782622157668801793169369611973
Fri 2015/11/20 22:02:30 UTC Found probable prime factor of 32 digits: 35782622157668801793169369611973
Fri 2015/11/20 22:02:30 UTC Probable prime cofactor 26437501415679591993324584261392745343392109542278755386720499983713741336269959923719461792605649732065480870675491612921528007181977525619511305614519602311460946593283342403356505238314869553 has 194 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
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)

14×10260+319

c241

name 名前Erik Branger
date 日付November 20, 2015 23:43:53 UTC 2015 年 11 月 21 日 (土) 8 時 43 分 53 秒 (日本時間)
composite number 合成数
4016402921188859774742373505010080862765223630866026934169211101607825970246095353132922873507704907309892139679229096380310580696723093716707429848861216277240442272133141759787425772681205158336624240734169469540980383908392757013647363741<241>
prime factors 素因数
1240674882016876458824985861419<31>
3237272696824232212810421362468262081701861386482840129294845681402122067592129633716667308935370046892115299492710635907306346379806122804703304185322301377458668119009611401568417887125998854931866366321143639<211>
factorization results 素因数分解の結果
Fri 2015/11/20 22:05:31 UTC GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Fri 2015/11/20 22:05:31 UTC Input number is 4016402921188859774742373505010080862765223630866026934169211101607825970246095353132922873507704907309892139679229096380310580696723093716707429848861216277240442272133141759787425772681205158336624240734169469540980383908392757013647363741 (241 digits)
Fri 2015/11/20 22:05:31 UTC Run 19 out of 400:
Fri 2015/11/20 22:05:31 UTC Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:40787781
Fri 2015/11/20 22:05:31 UTC Step 1 took 15219ms
Fri 2015/11/20 22:05:31 UTC Step 2 took 8125ms
Fri 2015/11/20 22:05:31 UTC ********** Factor found in step 2: 1240674882016876458824985861419
Fri 2015/11/20 22:05:31 UTC Found probable prime factor of 31 digits: 1240674882016876458824985861419
Fri 2015/11/20 22:05:31 UTC Probable prime cofactor 3237272696824232212810421362468262081701861386482840129294845681402122067592129633716667308935370046892115299492710635907306346379806122804703304185322301377458668119009611401568417887125998854931866366321143639 has 211 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
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)

14×10261+319

c229

composite cofactor 合成数の残り
1736228784486265711404648469937399811262242152911450695028552962152711864181135258937707171439002138977132452107671770850456123026754604203897566792942498135513754880487047418735321099006956601792341384201873624738994931936803079<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6400Erik BrangerNovember 20, 2015 23:44:10 UTC 2015 年 11 月 21 日 (土) 8 時 44 分 10 秒 (日本時間)
4511e62100 / 4390Eric JeancolasNovember 11, 2020 07:44:40 UTC 2020 年 11 月 11 日 (水) 16 時 44 分 40 秒 (日本時間)

14×10262+319

c205

composite cofactor 合成数の残り
1581734828337065747733604691845295188558676338091283831676790074477080632925622145572107805860243785923003279925119456366088459198834156487959833637028960292859304332477032520120661101016903678486353799601<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6400Erik BrangerNovember 20, 2015 23:44:33 UTC 2015 年 11 月 21 日 (土) 8 時 44 分 33 秒 (日本時間)
4511e62100 / 4390Eric JeancolasNovember 11, 2020 07:45:09 UTC 2020 年 11 月 11 日 (水) 16 時 45 分 9 秒 (日本時間)

14×10263+319

c247

name 名前Erik Branger
date 日付November 20, 2015 23:44:56 UTC 2015 年 11 月 21 日 (土) 8 時 44 分 56 秒 (日本時間)
composite number 合成数
2079601272011922719835722487839464414509154014240652750002623264285162361249715122129898652050372667075387914490739140861635251259223905305977817967639812350144987094501930569505158978212573445224908194688889208174942632904908940425400084049502823<247>
prime factors 素因数
29309297597544238068984557426699<32>
composite cofactor 合成数の残り
70953637325862355747742368605112063878904721445653305696237064322783575735566328449953553355569538116260034238338170961485810947899097177203948399231552719024454481477696013025437036339372360843691566224830067453077<215>
factorization results 素因数分解の結果
Fri 2015/11/20 23:22:40 UTC GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Fri 2015/11/20 23:22:40 UTC Input number is 2079601272011922719835722487839464414509154014240652750002623264285162361249715122129898652050372667075387914490739140861635251259223905305977817967639812350144987094501930569505158978212573445224908194688889208174942632904908940425400084049502823 (247 digits)
Fri 2015/11/20 23:22:40 UTC Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:848243871
Fri 2015/11/20 23:22:40 UTC Step 1 took 13406ms
Fri 2015/11/20 23:22:40 UTC ********** Factor found in step 2: 29309297597544238068984557426699
Fri 2015/11/20 23:22:40 UTC Found probable prime factor of 32 digits: 29309297597544238068984557426699
Fri 2015/11/20 23:22:40 UTC Composite cofactor 70953637325862355747742368605112063878904721445653305696237064322783575735566328449953553355569538116260034238338170961485810947899097177203948399231552719024454481477696013025437036339372360843691566224830067453077 has 215 digits
software ソフトウェア
GMP-ECM

c215

name 名前Eric Jeancolas
date 日付November 11, 2020 03:30:51 UTC 2020 年 11 月 11 日 (水) 12 時 30 分 51 秒 (日本時間)
composite number 合成数
70953637325862355747742368605112063878904721445653305696237064322783575735566328449953553355569538116260034238338170961485810947899097177203948399231552719024454481477696013025437036339372360843691566224830067453077<215>
prime factors 素因数
152313269271965790881101545576999825483133<42>
465840157361272109042628462143490614413952160937290428168026436369958308897709428190837799948331127850949800520974984442727246322409930032863988348884192619754242182016069369<174>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 70953637325862355747742368605112063878904721445653305696237064322783575735566328449953553355569538116260034238338170961485810947899097177203948399231552719024454481477696013025437036339372360843691566224830067453077 (215 digits)
Run 1770 out of 2100:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:592648385
Step 1 took 80494ms
Step 2 took 27900ms
********** Factor found in step 2: 152313269271965790881101545576999825483133
Found prime factor of 42 digits: 152313269271965790881101545576999825483133
Prime cofactor 465840157361272109042628462143490614413952160937290428168026436369958308897709428190837799948331127850949800520974984442727246322409930032863988348884192619754242182016069369 has 174 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 18.04 LTS
Intel(R) Core(TM) i5-3320M CPU @ 2.60GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovMarch 9, 2016 11:10:02 UTC 2016 年 3 月 9 日 (水) 20 時 10 分 2 秒 (日本時間)
4511e61770 / 4346Eric JeancolasNovember 11, 2020 03:25:45 UTC 2020 年 11 月 11 日 (水) 12 時 25 分 45 秒 (日本時間)

14×10265+319

c222

composite cofactor 合成数の残り
561144723818905871359502251091240126404919103242272981779255958510582120597569817270847732977403911664261787698700400874473870024882140749737210165475010378503073533138977312085369878977837105200421736553738586447370642171<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6400Erik BrangerNovember 21, 2015 08:52:17 UTC 2015 年 11 月 21 日 (土) 17 時 52 分 17 秒 (日本時間)
4511e62100 / 4390Eric JeancolasNovember 11, 2020 07:46:37 UTC 2020 年 11 月 11 日 (水) 16 時 46 分 37 秒 (日本時間)

14×10266+319

c258

composite cofactor 合成数の残り
100143819837261215472784775713100269278083408239462062782076407252542786940770267301950418581778360918388067344720828289814276683057506806203720424323879781848182133791764329754199721697906914315011180357551060852135398276494774536003373093925543351355130029<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
403e6400Erik BrangerNovember 21, 2015 08:52:23 UTC 2015 年 11 月 21 日 (土) 17 時 52 分 23 秒 (日本時間)
4511e62100 / 4349Eric JeancolasNovember 11, 2020 07:47:36 UTC 2020 年 11 月 11 日 (水) 16 時 47 分 36 秒 (日本時間)

14×10269+319

c227

composite cofactor 合成数の残り
41597945967915698287509495608121144061962981874221348003488888801575058699119140208478735129538062153054399759592382802313623825075591797358920153579252946144985097711071897326980583790248551238675262954848514652514316775609193<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6400Erik BrangerNovember 21, 2015 08:52:44 UTC 2015 年 11 月 21 日 (土) 17 時 52 分 44 秒 (日本時間)
4511e62100 / 4390Eric JeancolasNovember 11, 2020 07:48:36 UTC 2020 年 11 月 11 日 (水) 16 時 48 分 36 秒 (日本時間)

14×10270+319

c259

composite cofactor 合成数の残り
1268580132855359225814485740100938863836972416758030060259702859668180452004711318368093986824859276155301921510486260008166988110147877306209017260494978884732447672247625846872883064863354787751074576222770986837376606145859056864839617272684770328802112609<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6400Erik BrangerNovember 21, 2015 08:52:50 UTC 2015 年 11 月 21 日 (土) 17 時 52 分 50 秒 (日本時間)
4511e62100 / 4390Eric JeancolasNovember 11, 2020 07:49:42 UTC 2020 年 11 月 11 日 (水) 16 時 49 分 42 秒 (日本時間)

14×10271+319

c254

composite cofactor 合成数の残り
38620242488646627083712918402884487220685234856535274542273519154018632102941042314879256143171116720226849441209548227595502742319284270432819058114135393300273601652597086438710554216574760464047363870970666742100603335681245229027807642630757711324989<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6400Erik BrangerNovember 21, 2015 08:53:16 UTC 2015 年 11 月 21 日 (土) 17 時 53 分 16 秒 (日本時間)
4511e62100 / 4390Eric JeancolasNovember 14, 2020 17:16:48 UTC 2020 年 11 月 15 日 (日) 2 時 16 分 48 秒 (日本時間)

14×10272+319

c204

composite cofactor 合成数の残り
122294436992511099007810700850072757472730222781723177522656286831202131653526203042709481803073039120805953688926827595644798447645698293297217636607914316649107530680741769689986912516661365114152552293<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6400Erik BrangerNovember 21, 2015 08:53:21 UTC 2015 年 11 月 21 日 (土) 17 時 53 分 21 秒 (日本時間)
4511e62100 / 4390Eric JeancolasNovember 27, 2020 16:02:04 UTC 2020 年 11 月 28 日 (土) 1 時 2 分 4 秒 (日本時間)

14×10273+319

c252

name 名前Eric Jeancolas
date 日付November 13, 2020 03:27:37 UTC 2020 年 11 月 13 日 (金) 12 時 27 分 37 秒 (日本時間)
composite number 合成数
210343014740841406012321341234689805328221718472116979963110992374679037732259425297117217641558727384791168414370845336589547165237932418411895946397200740471958598466199708228761557257644719627480708691263652598722298803600768317180630758802421569479<252>
prime factors 素因数
33147718646931082387909713639239297669<38>
6345625681854144988861728469382111420523558759907479662252095044334776760338895983369487348973864013539879851898555777563350107299420856633749335773376765301629252107902337295760140190193800448193133513640231606491<214>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 210343014740841406012321341234689805328221718472116979963110992374679037732259425297117217641558727384791168414370845336589547165237932418411895946397200740471958598466199708228761557257644719627480708691263652598722298803600768317180630758802421569479 (252 digits)
Run 578 out of 2100:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2686147597
Step 1 took 102886ms
Step 2 took 33665ms
********** Factor found in step 2: 33147718646931082387909713639239297669
Found prime factor of 38 digits: 33147718646931082387909713639239297669
Prime cofactor 6345625681854144988861728469382111420523558759907479662252095044334776760338895983369487348973864013539879851898555777563350107299420856633749335773376765301629252107902337295760140190193800448193133513640231606491 has 214 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 18.04 LTS
Intel(R) Core(TM) i5-3320M CPU @ 2.60GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6400Erik BrangerNovember 21, 2015 08:53:27 UTC 2015 年 11 月 21 日 (土) 17 時 53 分 27 秒 (日本時間)
4511e6578 / 4390Eric JeancolasNovember 13, 2020 03:24:38 UTC 2020 年 11 月 13 日 (金) 12 時 24 分 38 秒 (日本時間)

14×10274+319

c265

composite cofactor 合成数の残り
8973496899140236359486761119186293669420666259240551291558462887020248022804738914249885174668979654972924624502725905656915885273833683766430383167477289399894489379893564695650167762405662895406980778991479704241749108216137561769701260860479320476501681915952003<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
403e6400Erik BrangerNovember 21, 2015 08:53:32 UTC 2015 年 11 月 21 日 (土) 17 時 53 分 32 秒 (日本時間)
4511e62100 / 4349Eric JeancolasNovember 15, 2020 08:28:59 UTC 2020 年 11 月 15 日 (日) 17 時 28 分 59 秒 (日本時間)

14×10275+319

c268

name 名前Erik Branger
date 日付November 21, 2015 08:54:09 UTC 2015 年 11 月 21 日 (土) 17 時 54 分 9 秒 (日本時間)
composite number 合成数
4624547169708920067387712187726172356813556587840368282023965969172973368094997368682209155299934371399490671533566534052161053700165759956477461676435411461800763058871446715556256240516726024216051470919313038184360763857993197641257643885113392063298634728301891417<268>
prime factors 素因数
10843932355754023086670408078236269713<38>
composite cofactor 合成数の残り
426464037029430209667963021216109953527084772408303564380814862674800020495480754837534647863328707925546451057348435677210338228290746558822888171649437121158066021432649488706601979815883867539226209289102797738689849963959528009<231>
factorization results 素因数分解の結果
Sat 2015/11/21 05:08:56 UTC GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Sat 2015/11/21 05:08:56 UTC Input number is 4624547169708920067387712187726172356813556587840368282023965969172973368094997368682209155299934371399490671533566534052161053700165759956477461676435411461800763058871446715556256240516726024216051470919313038184360763857993197641257643885113392063298634728301891417 (268 digits)
Sat 2015/11/21 05:08:56 UTC Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1688903990
Sat 2015/11/21 05:08:56 UTC Step 1 took 12750ms
Sat 2015/11/21 05:08:56 UTC ********** Factor found in step 2: 10843932355754023086670408078236269713
Sat 2015/11/21 05:08:56 UTC Found probable prime factor of 38 digits: 10843932355754023086670408078236269713
Sat 2015/11/21 05:08:56 UTC Composite cofactor 426464037029430209667963021216109953527084772408303564380814862674800020495480754837534647863328707925546451057348435677210338228290746558822888171649437121158066021432649488706601979815883867539226209289102797738689849963959528009 has 231 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
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
403e6300Erik BrangerNovember 21, 2015 08:53:52 UTC 2015 年 11 月 21 日 (土) 17 時 53 分 52 秒 (日本時間)
4511e62100 / 4371Eric JeancolasNovember 14, 2020 17:29:31 UTC 2020 年 11 月 15 日 (日) 2 時 29 分 31 秒 (日本時間)

14×10276+319

c267

name 名前Eric Jeancolas
date 日付November 19, 2020 03:04:51 UTC 2020 年 11 月 19 日 (木) 12 時 4 分 51 秒 (日本時間)
composite number 合成数
196696502685405051329950039487471310066416300424533083847175981615898389672487453879117393073856991800669601661139607268959568282394026482109130163309224410331708020704261452686566138843014322463022460116829874685668456664735188920339607341995789679523284970224293397<267>
prime factors 素因数
623646540272301409769158866536140407083<39>
315397408601869084898830119906268829940640852898556873825738490892258416810504741493647269815616064099353769161246770142416140396390064736967169195669325396316714252439025649543062418010089543697020360549438362453679338222298559<228>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 196696502685405051329950039487471310066416300424533083847175981615898389672487453879117393073856991800669601661139607268959568282394026482109130163309224410331708020704261452686566138843014322463022460116829874685668456664735188920339607341995789679523284970224293397 (267 digits)
Run 861 out of 2100:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:444821002
Step 1 took 59736ms
Step 2 took 20176ms
********** Factor found in step 2: 623646540272301409769158866536140407083
Found prime factor of 39 digits: 623646540272301409769158866536140407083
Prime cofactor 315397408601869084898830119906268829940640852898556873825738490892258416810504741493647269815616064099353769161246770142416140396390064736967169195669325396316714252439025649543062418010089543697020360549438362453679338222298559 has 228 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 18.04 LTS
Intel(R) Core(TM) i5-3320M CPU @ 2.60GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
403e6400Erik BrangerNovember 21, 2015 08:54:48 UTC 2015 年 11 月 21 日 (土) 17 時 54 分 48 秒 (日本時間)
4511e6861 / 4349Eric JeancolasNovember 15, 2020 08:20:31 UTC 2020 年 11 月 15 日 (日) 17 時 20 分 31 秒 (日本時間)

14×10277+319

c246

composite cofactor 合成数の残り
194848435201756284722822854581058296635085238645612758412013877289870960270301233527383086786974356669651058756344519978201308195492646677314219005104262314175446104619755877452482171815806716209271447214368229957896133739906956581566582517593807<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
403e6400Erik BrangerNovember 21, 2015 08:54:54 UTC 2015 年 11 月 21 日 (土) 17 時 54 分 54 秒 (日本時間)
4511e62100 / 4349Eric JeancolasNovember 14, 2020 17:21:34 UTC 2020 年 11 月 15 日 (日) 2 時 21 分 34 秒 (日本時間)

14×10278+319

c228

name 名前Eric Jeancolas
date 日付November 14, 2020 17:24:53 UTC 2020 年 11 月 15 日 (日) 2 時 24 分 53 秒 (日本時間)
composite number 合成数
137471645561683803844801189589186964305271012138474934670654031996851486180382654090620725859257276591204345339994617599260129578934973574585304175554677098982523625860446736972989538857266726447076508673287066041745872178401757<228>
prime factors 素因数
4667837317077245082305906530933449534859<40>
composite cofactor 合成数の残り
29450821916767514603993617925602638249030750298919636594787487176819483211468682453109401076405522297774999072678293956571577193860082671293910581668953064878948996391191697721484174900023<188>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 137471645561683803844801189589186964305271012138474934670654031996851486180382654090620725859257276591204345339994617599260129578934973574585304175554677098982523625860446736972989538857266726447076508673287066041745872178401757 (228 digits)
Run 891 out of 2100:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2849016071
Step 1 took 80905ms
Step 2 took 28453ms
********** Factor found in step 2: 4667837317077245082305906530933449534859
Found prime factor of 40 digits: 4667837317077245082305906530933449534859
Composite cofactor 29450821916767514603993617925602638249030750298919636594787487176819483211468682453109401076405522297774999072678293956571577193860082671293910581668953064878948996391191697721484174900023 has 188 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 18.04 LTS
Intel(R) Core(TM) i5-3320M CPU @ 2.60GHz

c188

name 名前Eric Jeancolas
date 日付November 17, 2020 04:47:45 UTC 2020 年 11 月 17 日 (火) 13 時 47 分 45 秒 (日本時間)
composite number 合成数
29450821916767514603993617925602638249030750298919636594787487176819483211468682453109401076405522297774999072678293956571577193860082671293910581668953064878948996391191697721484174900023<188>
prime factors 素因数
4644483323461172087684162600497371262591<40>
6341032977338824473535557342639606715579883170018851899600971405367365095303541526920183658976785975088258501160592665538363560816235117399784359753<148>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 29450821916767514603993617925602638249030750298919636594787487176819483211468682453109401076405522297774999072678293956571577193860082671293910581668953064878948996391191697721484174900023 (188 digits)
Run 1608 out of 2100:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1485140534
Step 1 took 31352ms
Step 2 took 12583ms
********** Factor found in step 2: 4644483323461172087684162600497371262591
Found prime factor of 40 digits: 4644483323461172087684162600497371262591
Prime cofactor 6341032977338824473535557342639606715579883170018851899600971405367365095303541526920183658976785975088258501160592665538363560816235117399784359753 has 148 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 18.04 LTS
Intel(R) Core(TM) i5-3320M CPU @ 2.60GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6400Erik BrangerNovember 21, 2015 08:54:59 UTC 2015 年 11 月 21 日 (土) 17 時 54 分 59 秒 (日本時間)
4511e61608 / 4390Eric JeancolasNovember 17, 2020 04:44:49 UTC 2020 年 11 月 17 日 (火) 13 時 44 分 49 秒 (日本時間)

14×10279+319

c262

name 名前Eric Jeancolas
date 日付November 20, 2020 01:21:31 UTC 2020 年 11 月 20 日 (金) 10 時 21 分 31 秒 (日本時間)
composite number 合成数
1173334713976940843273267036438870412344814910996906911332277998451213765465412799833110554510594670618672930199929283224796608974797805696690388731568943286676202663594063400565210791759961242904323178489980469869148144080073127298975050493424091226397511086479<262>
prime factors 素因数
77355795685599887405412754204166505724981<41>
composite cofactor 合成数の残り
15168025919425221869324110159374195234935007673283801581215823686441431393446732921998314862405339299221900690499216903157887333569529899661613939884183609131392685152262934353131537929548623374062554636757757920666404659<221>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 1173334713976940843273267036438870412344814910996906911332277998451213765465412799833110554510594670618672930199929283224796608974797805696690388731568943286676202663594063400565210791759961242904323178489980469869148144080073127298975050493424091226397511086479 (262 digits)
Run 1840 out of 2100:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:279008882
Step 1 took 104993ms
Step 2 took 34642ms
********** Factor found in step 2: 77355795685599887405412754204166505724981
Found prime factor of 41 digits: 77355795685599887405412754204166505724981
Composite cofactor 15168025919425221869324110159374195234935007673283801581215823686441431393446732921998314862405339299221900690499216903157887333569529899661613939884183609131392685152262934353131537929548623374062554636757757920666404659 has 221 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 18.04 LTS
Intel(R) Core(TM) i5-3320M CPU @ 2.60GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6400Erik BrangerNovember 21, 2015 08:55:05 UTC 2015 年 11 月 21 日 (土) 17 時 55 分 5 秒 (日本時間)
4511e62100 / 43901840Eric JeancolasNovember 20, 2020 01:17:57 UTC 2020 年 11 月 20 日 (金) 10 時 17 分 57 秒 (日本時間)
260Eric JeancolasNovember 21, 2020 05:40:23 UTC 2020 年 11 月 21 日 (土) 14 時 40 分 23 秒 (日本時間)

14×10280+319

c244

name 名前Erik Branger
date 日付November 21, 2015 08:55:34 UTC 2015 年 11 月 21 日 (土) 17 時 55 分 34 秒 (日本時間)
composite number 合成数
1118258226960467239450670551870530471711292949031693577204884211438065316347868594665216057618354169387129868310518387955687311840316989048119675729437816321141148345416646356365321715795327189846559836803364607037735511786496109610756408236557<244>
prime factors 素因数
46317234540205859301890560447129<32>
composite cofactor 合成数の残り
24143458435320846855377726951112453110808457955705420497648588181724380846122663701358008750320585401322950026815237530172586152467573328022566817662275981258401488045881670492185594245911431492651474677103779733<212>
factorization results 素因数分解の結果
Sat 2015/11/21 07:51:05 UTC GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Sat 2015/11/21 07:51:05 UTC Input number is 1118258226960467239450670551870530471711292949031693577204884211438065316347868594665216057618354169387129868310518387955687311840316989048119675729437816321141148345416646356365321715795327189846559836803364607037735511786496109610756408236557 (244 digits)
Sat 2015/11/21 07:51:05 UTC Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2276724939
Sat 2015/11/21 07:51:05 UTC Step 1 took 11078ms
Sat 2015/11/21 07:51:05 UTC ********** Factor found in step 2: 46317234540205859301890560447129
Sat 2015/11/21 07:51:05 UTC Found probable prime factor of 32 digits: 46317234540205859301890560447129
Sat 2015/11/21 07:51:05 UTC Composite cofactor 24143458435320846855377726951112453110808457955705420497648588181724380846122663701358008750320585401322950026815237530172586152467573328022566817662275981258401488045881670492185594245911431492651474677103779733 has 212 digits
software ソフトウェア
GMP-ECM

c212

name 名前Serge Batalov
date 日付December 5, 2015 00:25:01 UTC 2015 年 12 月 5 日 (土) 9 時 25 分 1 秒 (日本時間)
composite number 合成数
24143458435320846855377726951112453110808457955705420497648588181724380846122663701358008750320585401322950026815237530172586152467573328022566817662275981258401488045881670492185594245911431492651474677103779733<212>
prime factors 素因数
18178113871788230939470386252359912335682905357<47>
1328160809510089651738976075491616581773276822706812781121011292110077827204250963731948822023707793027375251699491105469419770408301196661480178076824663269630579369<166>
factorization results 素因数分解の結果
Using B1=3000000, B2=3000000-11414255590, polynomial Dickson(12), sigma=508718413
Step 1 took 21952ms
Step 2 took 13508ms
********** Factor found in step 2: 18178113871788230939470386252359912335682905357
Found probable prime factor of 47 digits: 18178113871788230939470386252359912335682905357
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)

14×10281+319

c234

name 名前Erik Branger
date 日付November 21, 2015 08:56:00 UTC 2015 年 11 月 21 日 (土) 17 時 56 分 0 秒 (日本時間)
composite number 合成数
254594755514491797456510731884102492800907224861972721216300474447808148879353683289817046984974984509128367823509653489366859545046635493475280065860677384973760833618720798800573715352777914768668432781617572997065360226588790059049<234>
prime factors 素因数
915591166710802508468947352087953<33>
composite cofactor 合成数の残り
278065980506458710188825112822458447364979581031397121933876253185029026014024696754227861859177774510809989735374557213465584152682242617269970715631891747025542898170117328162831700535387612676222233<201>
factorization results 素因数分解の結果
at 2015/11/21 07:58:06 UTC GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Sat 2015/11/21 07:58:06 UTC Input number is 254594755514491797456510731884102492800907224861972721216300474447808148879353683289817046984974984509128367823509653489366859545046635493475280065860677384973760833618720798800573715352777914768668432781617572997065360226588790059049 (234 digits)
Sat 2015/11/21 07:58:06 UTC Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4279596598
Sat 2015/11/21 07:58:06 UTC Step 1 took 11047ms
Sat 2015/11/21 07:58:06 UTC Step 2 took 6203ms
Sat 2015/11/21 07:58:06 UTC ********** Factor found in step 2: 915591166710802508468947352087953
Sat 2015/11/21 07:58:06 UTC Found probable prime factor of 33 digits: 915591166710802508468947352087953
Sat 2015/11/21 07:58:06 UTC Composite cofactor 278065980506458710188825112822458447364979581031397121933876253185029026014024696754227861859177774510809989735374557213465584152682242617269970715631891747025542898170117328162831700535387612676222233 has 201 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
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovMarch 9, 2016 11:12:26 UTC 2016 年 3 月 9 日 (水) 20 時 12 分 26 秒 (日本時間)
4511e62100 / 4346Eric JeancolasNovember 21, 2020 05:39:05 UTC 2020 年 11 月 21 日 (土) 14 時 39 分 5 秒 (日本時間)

14×10284+319

c274

composite cofactor 合成数の残り
1303618985153012067340388441400920948764905738281474787586458779760922576036616759566371287997670349985711865735289735589489768732857702547941576794754646877556703357848259796742416251129182798415622661554294176393650901830630768360221254005344901830058704965592229585582683<274>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6400Erik BrangerNovember 21, 2015 08:56:18 UTC 2015 年 11 月 21 日 (土) 17 時 56 分 18 秒 (日本時間)
4511e62100 / 4390Eric JeancolasNovember 21, 2020 05:37:24 UTC 2020 年 11 月 21 日 (土) 14 時 37 分 24 秒 (日本時間)

14×10285+319

c282

composite cofactor 合成数の残り
412942807421172167654779812995900067840604076335427543285254992183582573813526826534524968291891573017137126507978644957673362239329852815385069167920243046338082175618676813261363301182786184113500280211190750081113765743444532932188891838480370468690086423030410288175087750346577<282>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
403e61000600Dmitry DomanovNovember 20, 2015 13:45:25 UTC 2015 年 11 月 20 日 (金) 22 時 45 分 25 秒 (日本時間)
400Erik BrangerNovember 21, 2015 13:35:47 UTC 2015 年 11 月 21 日 (土) 22 時 35 分 47 秒 (日本時間)
4511e62900 / 4216800Dmitry DomanovJanuary 21, 2016 17:51:41 UTC 2016 年 1 月 22 日 (金) 2 時 51 分 41 秒 (日本時間)
2100Eric JeancolasNovember 23, 2020 00:46:43 UTC 2020 年 11 月 23 日 (月) 9 時 46 分 43 秒 (日本時間)

14×10286+319

c226

name 名前Eric Jeancolas
date 日付November 16, 2020 00:57:21 UTC 2020 年 11 月 16 日 (月) 9 時 57 分 21 秒 (日本時間)
composite number 合成数
9167521676080350374486954809839589510784846882967610586176865403766360010970071582188739133082654568717916834704787380126855246704035624430377532027069801197904964830267303809510305764054583312945000286910980463605118802856313<226>
prime factors 素因数
395435372988054093881730926549220944024681<42>
composite cofactor 合成数の残り
23183362699212284806896943597651284618125737551808186555712588060495587368610417477230752369763346968653973047599571467007406527306156779309190812747390014283598854861530924432961366673<185>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 9167521676080350374486954809839589510784846882967610586176865403766360010970071582188739133082654568717916834704787380126855246704035624430377532027069801197904964830267303809510305764054583312945000286910980463605118802856313 (226 digits)
Run 111 out of 2100:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2113288657
Step 1 took 81403ms
Step 2 took 28738ms
********** Factor found in step 2: 395435372988054093881730926549220944024681
Found prime factor of 42 digits: 395435372988054093881730926549220944024681
Composite cofactor 23183362699212284806896943597651284618125737551808186555712588060495587368610417477230752369763346968653973047599571467007406527306156779309190812747390014283598854861530924432961366673 has 185 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 18.04 LTS  
Intel(R) Core(TM)2 Duo CPU U9400  @ 1.40GHz     

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6400Erik BrangerNovember 21, 2015 13:35:54 UTC 2015 年 11 月 21 日 (土) 22 時 35 分 54 秒 (日本時間)
4511e62100111Eric JeancolasNovember 16, 2020 00:54:37 UTC 2020 年 11 月 16 日 (月) 9 時 54 分 37 秒 (日本時間)
1989Eric JeancolasNovember 18, 2020 05:22:49 UTC 2020 年 11 月 18 日 (水) 14 時 22 分 49 秒 (日本時間)
5043e6660 / 7067Dmitry DomanovDecember 19, 2020 00:16:36 UTC 2020 年 12 月 19 日 (土) 9 時 16 分 36 秒 (日本時間)

14×10287+319

c214

name 名前Eric Jeancolas
date 日付November 18, 2020 04:13:43 UTC 2020 年 11 月 18 日 (水) 13 時 13 分 43 秒 (日本時間)
composite number 合成数
1293080908252695022850753651802211003011434632278071207716412907697183213667966970027178412182329758559996911173297735345816425232314702498263164823446159559555292509048449779117776238297377483709932008060205913359<214>
prime factors 素因数
4755510600417773054381818089770610163<37>
composite cofactor 合成数の残り
271912107217066758571683820826456827591740618185339593518655195941238545412930488942981615673220765827702091330999752793082620564851104620314018169767807668885329417339821381493<177>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 1293080908252695022850753651802211003011434632278071207716412907697183213667966970027178412182329758559996911173297735345816425232314702498263164823446159559555292509048449779117776238297377483709932008060205913359 (214 digits)
Run 345 out of 2100:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3653412941
Step 1 took 80842ms
Step 2 took 27796ms
********** Factor found in step 2: 4755510600417773054381818089770610163
Found prime factor of 37 digits: 4755510600417773054381818089770610163
Composite cofactor 271912107217066758571683820826456827591740618185339593518655195941238545412930488942981615673220765827702091330999752793082620564851104620314018169767807668885329417339821381493 has 177 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 18.04 LTS
Intel(R) Core(TM) i5-3320M CPU @ 2.60GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6400Erik BrangerNovember 21, 2015 13:36:00 UTC 2015 年 11 月 21 日 (土) 22 時 36 分 0 秒 (日本時間)
4511e62100345Eric JeancolasNovember 19, 2020 20:08:25 UTC 2020 年 11 月 20 日 (金) 5 時 8 分 25 秒 (日本時間)
1755Eric JeancolasNovember 19, 2020 20:09:24 UTC 2020 年 11 月 20 日 (金) 5 時 9 分 24 秒 (日本時間)
5043e6654 / 7067Dmitry DomanovDecember 20, 2020 15:53:21 UTC 2020 年 12 月 21 日 (月) 0 時 53 分 21 秒 (日本時間)

14×10288+319

c216

composite cofactor 合成数の残り
611160252713551562890125785745631448452638924149849813174904066653288663313528061442196767163052106992838293495016808746107466493706029857249255198271428376411329478554416318997636579281014025139266402855293030358949<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6400Erik BrangerNovember 21, 2015 13:36:05 UTC 2015 年 11 月 21 日 (土) 22 時 36 分 5 秒 (日本時間)
4511e62100 / 4390Eric JeancolasNovember 18, 2020 05:20:07 UTC 2020 年 11 月 18 日 (水) 14 時 20 分 7 秒 (日本時間)

14×10290+319

c281

composite cofactor 合成数の残り
24629558509932215312112999754934362275038483285381256844846895870854285347566617129955170599327886275408417917167262465371716183896269915358028789669647299297829359700016293855079901047284363017485089415122561757098363876321559460402570757676374032273883386370810229937279918488569<281>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6400Erik BrangerNovember 21, 2015 13:36:29 UTC 2015 年 11 月 21 日 (土) 22 時 36 分 29 秒 (日本時間)
4511e62100 / 4390Eric JeancolasNovember 21, 2020 05:34:59 UTC 2020 年 11 月 21 日 (土) 14 時 34 分 59 秒 (日本時間)

14×10292+319

c239

name 名前Erik Branger
date 日付November 21, 2015 13:36:47 UTC 2015 年 11 月 21 日 (土) 22 時 36 分 47 秒 (日本時間)
composite number 合成数
17703164515465812601414276794174240529417368080352437345497144845022176002391070836609316659778119863491140992774128833237683966823574174918586625828242817015144778967724560376826195105731627557531433168533965477105452762951593655939259577<239>
prime factors 素因数
123478958762059658367434070324161<33>
composite cofactor 合成数の残り
143369888221841040826574544791994136797785192417351775355937697801401260177372235067913150661084954738968966920457235007341211294361714657774826084932985476320472649728224506019076060706383062697681003038457<207>
factorization results 素因数分解の結果
Sat 2015/11/21 12:19:22 UTC GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Sat 2015/11/21 12:19:22 UTC Input number is 17703164515465812601414276794174240529417368080352437345497144845022176002391070836609316659778119863491140992774128833237683966823574174918586625828242817015144778967724560376826195105731627557531433168533965477105452762951593655939259577 (239 digits)
Sat 2015/11/21 12:19:22 UTC Run 37 out of 400:
Sat 2015/11/21 12:19:22 UTC Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4205683627
Sat 2015/11/21 12:19:22 UTC Step 1 took 11235ms
Sat 2015/11/21 12:19:22 UTC ********** Factor found in step 2: 123478958762059658367434070324161
Sat 2015/11/21 12:19:22 UTC Found probable prime factor of 33 digits: 123478958762059658367434070324161
Sat 2015/11/21 12:19:22 UTC Composite cofactor 143369888221841040826574544791994136797785192417351775355937697801401260177372235067913150661084954738968966920457235007341211294361714657774826084932985476320472649728224506019076060706383062697681003038457 has 207 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
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovMarch 9, 2016 11:12:45 UTC 2016 年 3 月 9 日 (水) 20 時 12 分 45 秒 (日本時間)
4511e62100 / 4346Eric JeancolasNovember 27, 2020 16:00:33 UTC 2020 年 11 月 28 日 (土) 1 時 0 分 33 秒 (日本時間)

14×10294+319

c276

composite cofactor 合成数の残り
514671563686864613021326687331107099945523705666788722832499221536085219083079280249536269732076937927222691953684024328743669661637133709528068023926058809675935418619223671255065624893613845133745976982212923039341233495630719626301656893457004808951258499224928655161348097<276>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e62504400Erik BrangerNovember 21, 2015 13:37:03 UTC 2015 年 11 月 21 日 (土) 22 時 37 分 3 秒 (日本時間)
2104Eric JeancolasSeptember 10, 2020 02:14:59 UTC 2020 年 9 月 10 日 (木) 11 時 14 分 59 秒 (日本時間)
4511e62100 / 3925Eric JeancolasNovember 27, 2020 16:01:02 UTC 2020 年 11 月 28 日 (土) 1 時 1 分 2 秒 (日本時間)

14×10295+319

c289

composite cofactor 合成数の残り
1769579266476783227462565783003244232868491403718879531227329240625126122022273668947439463672882351759722077969912374605875197818422232761330739281806901209989006994401089120423168085091887488987371031009083237734973424900970868288685774052712303028921839213221800796919910776296602012181<289>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
403e61000600Dmitry DomanovNovember 20, 2015 13:42:12 UTC 2015 年 11 月 20 日 (金) 22 時 42 分 12 秒 (日本時間)
400Erik BrangerNovember 21, 2015 17:06:38 UTC 2015 年 11 月 22 日 (日) 2 時 6 分 38 秒 (日本時間)
4511e62900 / 4216800Dmitry DomanovDecember 31, 2015 00:25:15 UTC 2015 年 12 月 31 日 (木) 9 時 25 分 15 秒 (日本時間)
2100Eric JeancolasNovember 27, 2020 16:02:49 UTC 2020 年 11 月 28 日 (土) 1 時 2 分 49 秒 (日本時間)

14×10296+319

c273

name 名前Erik Branger
date 日付November 21, 2015 17:06:51 UTC 2015 年 11 月 22 日 (日) 2 時 6 分 51 秒 (日本時間)
composite number 合成数
250521266272079086691372991640788320015015576833895662485624633860056138768738862261315972031669465077824893761662072119115900647923039348027815825869065926014250780075568696272519432460063979816575015340026918093848858926759159484245555613665845082505742906436777784930439<273>
prime factors 素因数
16899512052372412754076327092770798291<38>
composite cofactor 合成数の残り
14824171579374685730517803793605798944467068062012154010409337791130158321944990936504551638189645875430338743707845192748263408187008204934751416773560960319555159562437072316255433216069130439723263362278081633891668375470865053580029<236>
factorization results 素因数分解の結果
Sat 2015/11/21 14:15:29 UTC GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Sat 2015/11/21 14:15:29 UTC Input number is 250521266272079086691372991640788320015015576833895662485624633860056138768738862261315972031669465077824893761662072119115900647923039348027815825869065926014250780075568696272519432460063979816575015340026918093848858926759159484245555613665845082505742906436777784930439 (273 digits)
Sat 2015/11/21 14:15:29 UTC Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1797043625
Sat 2015/11/21 14:15:29 UTC Step 1 took 15750ms
Sat 2015/11/21 14:15:29 UTC Step 2 took 7922ms
Sat 2015/11/21 14:15:29 UTC ********** Factor found in step 2: 16899512052372412754076327092770798291
Sat 2015/11/21 14:15:29 UTC Found probable prime factor of 38 digits: 16899512052372412754076327092770798291
Sat 2015/11/21 14:15:29 UTC Composite cofactor 14824171579374685730517803793605798944467068062012154010409337791130158321944990936504551638189645875430338743707845192748263408187008204934751416773560960319555159562437072316255433216069130439723263362278081633891668375470865053580029 has 236 digits
software ソフトウェア
GMP-ECM

c236

name 名前Dmitry Domanov
date 日付March 9, 2016 14:27:09 UTC 2016 年 3 月 9 日 (水) 23 時 27 分 9 秒 (日本時間)
composite number 合成数
14824171579374685730517803793605798944467068062012154010409337791130158321944990936504551638189645875430338743707845192748263408187008204934751416773560960319555159562437072316255433216069130439723263362278081633891668375470865053580029<236>
prime factors 素因数
99465793688412332041468243812173464861631<41>
composite cofactor 合成数の残り
149037885585199801828161005607684033499548412992653250989936193460484391248194448519497775722308537304251066874256689085665886375818092052722998590240160531278916066432972030279246605204407969859<195>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=555455968
Step 1 took 44550ms
Step 2 took 15109ms
********** Factor found in step 2: 99465793688412332041468243812173464861631
Found probable prime factor of 41 digits: 99465793688412332041468243812173464861631

c195

name 名前Dmitry Domanov
date 日付March 10, 2016 16:41:37 UTC 2016 年 3 月 11 日 (金) 1 時 41 分 37 秒 (日本時間)
composite number 合成数
149037885585199801828161005607684033499548412992653250989936193460484391248194448519497775722308537304251066874256689085665886375818092052722998590240160531278916066432972030279246605204407969859<195>
prime factors 素因数
28792648701539799845467064358498031007<38>
5176247837776363249535070924392183404656935773234418814401367469199911859154612089030831034574753401251460216625778385005680303380327607647603734193456431837<157>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=585105749
Step 1 took 23426ms
Step 2 took 8708ms
********** Factor found in step 2: 28792648701539799845467064358498031007
Found probable prime factor of 38 digits: 28792648701539799845467064358498031007

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovMarch 9, 2016 11:12:58 UTC 2016 年 3 月 9 日 (水) 20 時 12 分 58 秒 (日本時間)

14×10298+319

c280

composite cofactor 合成数の残り
4302024043835096502798105474113077817505150557103310301204933544585184615042218323003081180747542352638187187976516859780109050619715433865558869613061230883447819328053632532325949070090376553830902305737471283833843873809446147737310341231431555952387534860626318255853618454641<280>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e62504400Erik BrangerNovember 21, 2015 17:07:06 UTC 2015 年 11 月 22 日 (日) 2 時 7 分 6 秒 (日本時間)
2104Eric JeancolasSeptember 8, 2020 01:00:12 UTC 2020 年 9 月 8 日 (火) 10 時 0 分 12 秒 (日本時間)
4511e62100 / 3925Eric JeancolasNovember 27, 2020 16:03:36 UTC 2020 年 11 月 28 日 (土) 1 時 3 分 36 秒 (日本時間)

14×10300+319

c270

composite cofactor 合成数の残り
168690621476347883788279330978749324279267996283472379526529020163532617918808593589533787880038147326355038442541224762554952553128432806839754721911984043531204577156456141107859626234066098336672213535262941603485204640708514820065356748971462399403006382223481914721<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e616001200Dmitry DomanovNovember 21, 2015 09:38:41 UTC 2015 年 11 月 21 日 (土) 18 時 38 分 41 秒 (日本時間)
400Erik BrangerNovember 21, 2015 17:07:02 UTC 2015 年 11 月 22 日 (日) 2 時 7 分 2 秒 (日本時間)
4511e61200Dmitry DomanovNovember 22, 2015 19:06:23 UTC 2015 年 11 月 23 日 (月) 4 時 6 分 23 秒 (日本時間)
5043e6600 / 6934Dmitry DomanovNovember 28, 2015 00:10:35 UTC 2015 年 11 月 28 日 (土) 9 時 10 分 35 秒 (日本時間)
5511e7120 / 17468Dmitry DomanovDecember 3, 2015 07:23:39 UTC 2015 年 12 月 3 日 (木) 16 時 23 分 39 秒 (日本時間)