Table of contents 目次

2×10109+9

c85

name 名前Sinkiti Sibata
date 日付November 13, 2007 09:56:02 UTC 2007 年 11 月 13 日 (火) 18 時 56 分 2 秒 (日本時間)
composite number 合成数
9066863611084262532391767761617834512428564112384343014130227238186317203834158432609<85>
prime factors 素因数
748402279230484392743519946043122325419467<42>
12114959912210466897728207722918366529921027<44>
factorization results 素因数分解の結果
Number: 20009_109
N=9066863611084262532391767761617834512428564112384343014130227238186317203834158432609
  ( 85 digits)
SNFS difficulty: 110 digits.
Divisors found:
 r1=748402279230484392743519946043122325419467 (pp42)
 r2=12114959912210466897728207722918366529921027 (pp44)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 1.20 hours.
Scaled time: 0.81 units (timescale=0.675).
Factorization parameters were as follows:
name: 20009_109
n: 9066863611084262532391767761617834512428564112384343014130227238186317203834158432609
m: 10000000000000000000000
c5: 1
c0: 45
skew: 2.14
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, 450001)
Primes: RFBsize:49098, AFBsize:63918, largePrimes:1920083 encountered
Relations: rels:1935524, finalFF:195943
Max relations in full relation-set: 28
Initial matrix: 113080 x 195943 with sparse part having weight 13085661.
Pruned matrix : 82364 x 82993 with weight 3462543.
Total sieving time: 1.04 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,110,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.20 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP )

2×10112+9

c90

name 名前Sinkiti Sibata
date 日付November 13, 2007 13:00:55 UTC 2007 年 11 月 13 日 (火) 22 時 0 分 55 秒 (日本時間)
composite number 合成数
487672473569298877322950209283462946924937198672763413701237098246837153702239074068366747<90>
prime factors 素因数
9206018018107001474355735891329<31>
52973226058227628382351941365777895979723862883622018652443<59>
factorization results 素因数分解の結果
Number: 20009_112
N=487672473569298877322950209283462946924937198672763413701237098246837153702239074068366747
  ( 90 digits)
SNFS difficulty: 112 digits.
Divisors found:
 r1=9206018018107001474355735891329 (pp31)
 r2=52973226058227628382351941365777895979723862883622018652443 (pp59)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 2.05 hours.
Scaled time: 1.38 units (timescale=0.675).
Factorization parameters were as follows:
name: 20009_112
n: 487672473569298877322950209283462946924937198672763413701237098246837153702239074068366747
m: 10000000000000000000000
c5: 200
c0: 9
skew: 0.54
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, 500001)
Primes: RFBsize:49098, AFBsize:63988, largePrimes:2409465 encountered
Relations: rels:3030076, finalFF:735233
Max relations in full relation-set: 28
Initial matrix: 113151 x 735233 with sparse part having weight 52489673.
Pruned matrix : 56354 x 56983 with weight 4802576.
Total sieving time: 1.89 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,112,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.05 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP )

2×10113+9

c86

name 名前Sinkiti Sibata
date 日付November 13, 2007 19:48:36 UTC 2007 年 11 月 14 日 (水) 4 時 48 分 36 秒 (日本時間)
composite number 合成数
59213064334510423889180281278137633024927225091119261905297311496666472844090768153361<86>
prime factors 素因数
126503094686428494316629112361<30>
468076014118751200598434885891146498395685059990909881001<57>
factorization results 素因数分解の結果
Tue Nov 13 19:16:24 2007  
Tue Nov 13 19:16:24 2007  Msieve v. 1.28
Tue Nov 13 19:16:24 2007  random seeds: 79b93950 914c419f
Tue Nov 13 19:16:24 2007  factoring 59213064334510423889180281278137633024927225091119261905297311496666472844090768153361 (86 digits)
Tue Nov 13 19:16:25 2007  commencing quadratic sieve (86-digit input)
Tue Nov 13 19:16:25 2007  using multiplier of 1
Tue Nov 13 19:16:25 2007  using 64kb Pentium 2 sieve core
Tue Nov 13 19:16:25 2007  sieve interval: 8 blocks of size 65536
Tue Nov 13 19:16:25 2007  processing polynomials in batches of 13
Tue Nov 13 19:16:25 2007  using a sieve bound of 1450331 (55667 primes)
Tue Nov 13 19:16:25 2007  using large prime bound of 116026480 (26 bits)
Tue Nov 13 19:16:25 2007  using double large prime bound of 328248542117840 (41-49 bits)
Tue Nov 13 19:16:25 2007  using trial factoring cutoff of 49 bits
Tue Nov 13 19:16:25 2007  polynomial 'A' values have 11 factors
Wed Nov 14 00:52:54 2007  55802 relations (15557 full + 40245 combined from 585823 partial), need 55763
Wed Nov 14 00:52:57 2007  begin with 601380 relations
Wed Nov 14 00:52:59 2007  reduce to 134103 relations in 9 passes
Wed Nov 14 00:52:59 2007  attempting to read 134103 relations
Wed Nov 14 00:53:05 2007  recovered 134103 relations
Wed Nov 14 00:53:05 2007  recovered 113504 polynomials
Wed Nov 14 00:53:06 2007  attempting to build 55802 cycles
Wed Nov 14 00:53:06 2007  found 55802 cycles in 5 passes
Wed Nov 14 00:53:09 2007  distribution of cycle lengths:
Wed Nov 14 00:53:09 2007     length 1 : 15557
Wed Nov 14 00:53:09 2007     length 2 : 10981
Wed Nov 14 00:53:09 2007     length 3 : 9922
Wed Nov 14 00:53:09 2007     length 4 : 7142
Wed Nov 14 00:53:09 2007     length 5 : 4933
Wed Nov 14 00:53:09 2007     length 6 : 3153
Wed Nov 14 00:53:09 2007     length 7 : 1922
Wed Nov 14 00:53:09 2007     length 9+: 2192
Wed Nov 14 00:53:09 2007  largest cycle: 17 relations
Wed Nov 14 00:53:10 2007  matrix is 55667 x 55802 with weight 2940878 (avg 52.70/col)
Wed Nov 14 00:53:15 2007  filtering completed in 3 passes
Wed Nov 14 00:53:15 2007  matrix is 51377 x 51441 with weight 2736176 (avg 53.19/col)
Wed Nov 14 00:53:17 2007  saving the first 48 matrix rows for later
Wed Nov 14 00:53:17 2007  matrix is 51329 x 51441 with weight 2040428 (avg 39.67/col)
Wed Nov 14 00:53:17 2007  matrix includes 64 packed rows
Wed Nov 14 00:53:17 2007  using block size 5461 for processor cache size 128 kB
Wed Nov 14 00:53:18 2007  commencing Lanczos iteration
Wed Nov 14 00:55:31 2007  lanczos halted after 813 iterations
Wed Nov 14 00:55:32 2007  recovered 17 nontrivial dependencies
Wed Nov 14 00:55:33 2007  prp30 factor: 126503094686428494316629112361
Wed Nov 14 00:55:33 2007  prp57 factor: 468076014118751200598434885891146498395685059990909881001
Wed Nov 14 00:55:33 2007  elapsed time 05:39:09
execution environment 実行環境
Celeron 750MHz,  Windows 2000)

2×10115+9

c112

name 名前Jo Yeong Uk
date 日付November 14, 2007 00:26:45 UTC 2007 年 11 月 14 日 (水) 9 時 26 分 45 秒 (日本時間)
composite number 合成数
7846214201647704982346018046292663789721459395841506473126716359356610435464888191447626520204001569242840329541<112>
prime factors 素因数
3610985855871191931623417922834769<34>
347349964829672312277520077897474727<36>
6255573247015228068683536228478645049008707<43>
factorization results 素因数分解の結果
Number: 20009_115
N=7846214201647704982346018046292663789721459395841506473126716359356610435464888191447626520204001569242840329541
  ( 112 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=3610985855871191931623417922834769 (pp34)
 r2=347349964829672312277520077897474727 (pp36)
 r3=6255573247015228068683536228478645049008707 (pp43)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.64 hours.
Scaled time: 1.37 units (timescale=2.143).
Factorization parameters were as follows:
n: 7846214201647704982346018046292663789721459395841506473126716359356610435464888191447626520204001569242840329541
m: 100000000000000000000000
c5: 2
c0: 9
skew: 1.35
type: snfs
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [300000, 390001)
Primes: RFBsize:49098, AFBsize:48886, largePrimes:1863902 encountered
Relations: rels:1959876, finalFF:245084
Max relations in full relation-set: 28
Initial matrix: 98049 x 245084 with sparse part having weight 19250215.
Pruned matrix : 66805 x 67359 with weight 3521221.
Total sieving time: 0.60 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,115,5,0,0,0,0,0,0,0,0,600000,600000,25,25,45,45,2.4,2.4,30000
total time: 0.64 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405122)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

2×10121+9

c103

name 名前Sinkiti Sibata
date 日付November 14, 2007 12:55:29 UTC 2007 年 11 月 14 日 (水) 21 時 55 分 29 秒 (日本時間)
composite number 合成数
2814532964546077252871970629316708556510168734465584891122419326288554907143692044303039418256114054469<103>
prime factors 素因数
23276367811865773221842316006407580116078609884723<50>
120918048180665503779004167358585435298916357823336103<54>
factorization results 素因数分解の結果
Number: 20009_121
N=2814532964546077252871970629316708556510168734465584891122419326288554907143692044303039418256114054469
  ( 103 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=23276367811865773221842316006407580116078609884723 (pp50)
 r2=120918048180665503779004167358585435298916357823336103 (pp54)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 2.13 hours.
Scaled time: 1.44 units (timescale=0.675).
Factorization parameters were as follows:
name: 20009_121
n: 2814532964546077252871970629316708556510168734465584891122419326288554907143692044303039418256114054469
m: 1000000000000000000000000
c5: 20
c0: 9
skew: 0.85
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, 550001)
Primes: RFBsize:49098, AFBsize:63843, largePrimes:2088965 encountered
Relations: rels:2160713, finalFF:219066
Max relations in full relation-set: 28
Initial matrix: 113008 x 219066 with sparse part having weight 18684530.
Pruned matrix : 87485 x 88114 with weight 4996495.
Total sieving time: 1.91 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.04 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: 2.13 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP )

2×10124+9

c114

name 名前Sinkiti Sibata
date 日付November 13, 2007 22:35:15 UTC 2007 年 11 月 14 日 (水) 7 時 35 分 15 秒 (日本時間)
composite number 合成数
444873868070456791285157294883334653826114223009391544914693262254988985036803067248867103876557666800384103127867<114>
prime factors 素因数
12933342699273453806862343859989698555609089656801<50>
34397439116451164611055979433447141435329163111083759614363162267<65>
factorization results 素因数分解の結果
Number: 20009_124
N=444873868070456791285157294883334653826114223009391544914693262254988985036803067248867103876557666800384103127867
  ( 114 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=12933342699273453806862343859989698555609089656801 (pp50)
 r2=34397439116451164611055979433447141435329163111083759614363162267 (pp65)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 2.57 hours.
Scaled time: 1.74 units (timescale=0.675).
Factorization parameters were as follows:
name: 20009_124
n: 444873868070456791285157294883334653826114223009391544914693262254988985036803067248867103876557666800384103127867
m: 10000000000000000000000000
c5: 1
c0: 45
skew: 2.14
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:63918, largePrimes:2172125 encountered
Relations: rels:2319136, finalFF:277481
Max relations in full relation-set: 28
Initial matrix: 113080 x 277481 with sparse part having weight 24656124.
Pruned matrix : 81390 x 82019 with weight 5386144.
Total sieving time: 2.35 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,125,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.57 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP )

2×10128+9

c112

name 名前Jo Yeong Uk
date 日付November 14, 2007 06:32:49 UTC 2007 年 11 月 14 日 (水) 15 時 32 分 49 秒 (日本時間)
composite number 合成数
6432804889321966154737940019106072881085761416381139523418545975573334342986996964229572138342044269550217844353<112>
prime factors 素因数
838738174203331430476288994347<30>
7669622162401410990558076424963758890890607406854931844023679051213111668308932099<82>
factorization results 素因数分解の結果
Number: 20009_128
N=6432804889321966154737940019106072881085761416381139523418545975573334342986996964229572138342044269550217844353
  ( 112 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=838738174203331430476288994347 (pp30)
 r2=7669622162401410990558076424963758890890607406854931844023679051213111668308932099 (pp82)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 1.75 hours.
Scaled time: 3.75 units (timescale=2.146).
Factorization parameters were as follows:
n: 6432804889321966154737940019106072881085761416381139523418545975573334342986996964229572138342044269550217844353
m: 100000000000000000000000000
c5: 1
c0: 450
skew: 3.39
type: snfs
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [500000, 850001)
Primes: RFBsize:78498, AFBsize:78411, largePrimes:1572335 encountered
Relations: rels:1653001, finalFF:250088
Max relations in full relation-set: 28
Initial matrix: 156973 x 250088 with sparse part having weight 11746162.
Pruned matrix : 112238 x 113086 with weight 4590998.
Total sieving time: 1.69 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,130,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,46,46,2.2,2.2,50000
total time: 1.75 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: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405122)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

2×10129+9

c121

name 名前Jo Yeong Uk
date 日付November 14, 2007 12:14:14 UTC 2007 年 11 月 14 日 (水) 21 時 14 分 14 秒 (日本時間)
composite number 合成数
7937079185734887593874167046697325195980474197859232432137387602376763124415823530918175646633742048331470586833465867343<121>
prime factors 素因数
82003635083982433094568610504258544735069<41>
96789357905979190059916421135822880484975096215801511141201084498141280349953947<80>
factorization results 素因数分解の結果
Number: 20009_129
N=7937079185734887593874167046697325195980474197859232432137387602376763124415823530918175646633742048331470586833465867343
  ( 121 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=82003635083982433094568610504258544735069 (pp41)
 r2=96789357905979190059916421135822880484975096215801511141201084498141280349953947 (pp80)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 1.72 hours.
Scaled time: 3.68 units (timescale=2.139).
Factorization parameters were as follows:
n: 7937079185734887593874167046697325195980474197859232432137387602376763124415823530918175646633742048331470586833465867343
m: 100000000000000000000000000
c5: 1
c0: 45
skew: 2.14
type: snfs
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [500000, 850001)
Primes: RFBsize:78498, AFBsize:78411, largePrimes:1567044 encountered
Relations: rels:1646980, finalFF:248901
Max relations in full relation-set: 28
Initial matrix: 156973 x 248901 with sparse part having weight 11659733.
Pruned matrix : 112684 x 113532 with weight 4605631.
Total sieving time: 1.66 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,130,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,46,46,2.2,2.2,50000
total time: 1.72 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405122)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

2×10131+9

c110

name 名前Sinkiti Sibata
date 日付November 14, 2007 05:45:21 UTC 2007 年 11 月 14 日 (水) 14 時 45 分 21 秒 (日本時間)
composite number 合成数
19964154607141111700061809502715420631256369551377576495671386457041725733903887371073728671212925530921416323<110>
prime factors 素因数
57062021722090451670266439953685372616833385097687<50>
349867635331476129784259517594411816903548623239985088658229<60>
factorization results 素因数分解の結果
Number: 20009_131
N=19964154607141111700061809502715420631256369551377576495671386457041725733903887371073728671212925530921416323
  ( 110 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=57062021722090451670266439953685372616833385097687 (pp50)
 r2=349867635331476129784259517594411816903548623239985088658229 (pp60)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 4.46 hours.
Scaled time: 3.01 units (timescale=0.675).
Factorization parameters were as follows:
name: 20009_131
n: 19964154607141111700061809502715420631256369551377576495671386457041725733903887371073728671212925530921416323
m: 100000000000000000000000000
c5: 20
c0: 9
skew: 0.85
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, 850001)
Primes: RFBsize:63951, AFBsize:63843, largePrimes:1417127 encountered
Relations: rels:1397458, finalFF:156815
Max relations in full relation-set: 28
Initial matrix: 127861 x 156815 with sparse part having weight 9252290.
Pruned matrix : 118504 x 119207 with weight 5490939.
Total sieving time: 4.16 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.19 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: 4.46 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP )

2×10132+9

c88

name 名前Sinkiti Sibata
date 日付November 14, 2007 10:26:14 UTC 2007 年 11 月 14 日 (水) 19 時 26 分 14 秒 (日本時間)
composite number 合成数
5927238058745577841908105029284969199323891268952962791663876711778527940853004477884377<88>
prime factors 素因数
64553585691076468757776709697760029089923<41>
91818881868322405255423164024086685058772234099<47>
factorization results 素因数分解の結果
Number: 20009_132
N=5927238058745577841908105029284969199323891268952962791663876711778527940853004477884377
  ( 88 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=64553585691076468757776709697760029089923 (pp41)
 r2=91818881868322405255423164024086685058772234099 (pp47)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 4.49 hours.
Scaled time: 3.03 units (timescale=0.675).
Factorization parameters were as follows:
name: 20009_132
n: 5927238058745577841908105029284969199323891268952962791663876711778527940853004477884377
m: 100000000000000000000000000
c5: 200
c0: 9
skew: 0.54
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, 850001)
Primes: RFBsize:63951, AFBsize:63988, largePrimes:1398569 encountered
Relations: rels:1367313, finalFF:147644
Max relations in full relation-set: 28
Initial matrix: 128004 x 147644 with sparse part having weight 8145619.
Pruned matrix : 122053 x 122757 with weight 5454428.
Total sieving time: 4.18 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,132,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 4.49 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.46GHz, Windows XP )

2×10133+9

c98

name 名前Sinkiti Sibata
date 日付November 15, 2007 03:37:28 UTC 2007 年 11 月 15 日 (木) 12 時 37 分 28 秒 (日本時間)
composite number 合成数
33107592367799477994531315875696566699102396778630104307460969147141634839210559134468289330329623<98>
prime factors 素因数
337482959187671618348715804443<30>
98101523251692854700293015379351134705420468393200528633582388590261<68>
factorization results 素因数分解の結果
Number: 20009_133
N=33107592367799477994531315875696566699102396778630104307460969147141634839210559134468289330329623
  ( 98 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=337482959187671618348715804443 (pp30)
 r2=98101523251692854700293015379351134705420468393200528633582388590261 (pp68)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 5.55 hours.
Scaled time: 3.75 units (timescale=0.676).
Factorization parameters were as follows:
name: 20009_133
n: 33107592367799477994531315875696566699102396778630104307460969147141634839210559134468289330329623
m: 200000000000000000000000000
c5: 125
c0: 18
skew: 0.68
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, 925001)
Primes: RFBsize:78498, AFBsize:63828, largePrimes:1467588 encountered
Relations: rels:1461357, finalFF:170545
Max relations in full relation-set: 28
Initial matrix: 142392 x 170545 with sparse part having weight 10197756.
Pruned matrix : 131765 x 132540 with weight 6330275.
Total sieving time: 5.15 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.28 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,133,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 5.55 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP)

2×10136+9

c96

name 名前Sinkiti Sibata
date 日付November 15, 2007 11:47:32 UTC 2007 年 11 月 15 日 (木) 20 時 47 分 32 秒 (日本時間)
composite number 合成数
126003418183523590081005231307316729274954208236469757844274078817776161403684503808348053760163<96>
prime factors 素因数
7479989621822215707304648726870274177<37>
16845400134770192015265810071674311005731257071385123440419<59>
factorization results 素因数分解の結果
Number: 20009_136
N=126003418183523590081005231307316729274954208236469757844274078817776161403684503808348053760163
  ( 96 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=7479989621822215707304648726870274177 (pp37)
 r2=16845400134770192015265810071674311005731257071385123440419 (pp59)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 7.86 hours.
Scaled time: 5.31 units (timescale=0.675).
Factorization parameters were as follows:
name: 20009_136
n: 126003418183523590081005231307316729274954208236469757844274078817776161403684503808348053760163
m: 1000000000000000000000000000
c5: 20
c0: 9
skew: 0.85
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, 1150001)
Primes: RFBsize:78498, AFBsize:63843, largePrimes:1536871 encountered
Relations: rels:1552675, finalFF:189444
Max relations in full relation-set: 28
Initial matrix: 142408 x 189444 with sparse part having weight 14166681.
Pruned matrix : 126873 x 127649 with weight 7809355.
Total sieving time: 7.43 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.29 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 7.86 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP )

2×10137+9

c104

name 名前Sinkiti Sibata
date 日付November 15, 2007 20:40:56 UTC 2007 年 11 月 16 日 (金) 5 時 40 分 56 秒 (日本時間)
composite number 合成数
35577010353847071166627381630160508224933719406788362654288006111043429068247910493731177879457902557003<104>
prime factors 素因数
1099656391248576163177704783751416330647<40>
32352842794331493715586477085068987078828228518142150588757859949<65>
factorization results 素因数分解の結果
Number: 20009_137
N=35577010353847071166627381630160508224933719406788362654288006111043429068247910493731177879457902557003
  ( 104 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=1099656391248576163177704783751416330647 (pp40)
 r2=32352842794331493715586477085068987078828228518142150588757859949 (pp65)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 8.22 hours.
Scaled time: 5.55 units (timescale=0.675).
Factorization parameters were as follows:
name: 20009_137
n: 35577010353847071166627381630160508224933719406788362654288006111043429068247910493731177879457902557003
m: 1000000000000000000000000000
c5: 200
c0: 9
skew: 0.54
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, 1225001)
Primes: RFBsize:78498, AFBsize:63988, largePrimes:1552634 encountered
Relations: rels:1574611, finalFF:193594
Max relations in full relation-set: 28
Initial matrix: 142551 x 193594 with sparse part having weight 15125767.
Pruned matrix : 126553 x 127329 with weight 8216971.
Total sieving time: 7.78 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.30 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,137,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 8.22 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP )

2×10138+9

c125

name 名前Jo Yeong Uk
date 日付November 14, 2007 23:27:59 UTC 2007 年 11 月 15 日 (木) 8 時 27 分 59 秒 (日本時間)
composite number 合成数
44620758746381241841688897721867317475788276748995108314229042673027347676487429597124584059980824714622578162566104956058761<125>
prime factors 素因数
799755820751262322119275375033<30>
20766309102022228980253099855875658537<38>
2686706507069958673687375702336773298121688744721734859241<58>
factorization results 素因数分解の結果
Number: 20009_138
N=44620758746381241841688897721867317475788276748995108314229042673027347676487429597124584059980824714622578162566104956058761
  ( 125 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=799755820751262322119275375033 (pp30)
 r2=20766309102022228980253099855875658537 (pp38)
 r3=2686706507069958673687375702336773298121688744721734859241 (pp58)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 4.74 hours.
Scaled time: 10.09 units (timescale=2.126).
Factorization parameters were as follows:
n: 44620758746381241841688897721867317475788276748995108314229042673027347676487429597124584059980824714622578162566104956058761
m: 10000000000000000000000000000
c5: 1
c0: 450
skew: 3.39
type: snfs
Factor base limits: 1400000/1400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 47/47
Sieved algebraic special-q in [700000, 1000001)
Primes: RFBsize:107126, AFBsize:106598, largePrimes:2324281 encountered
Relations: rels:2569529, finalFF:387303
Max relations in full relation-set: 28
Initial matrix: 213788 x 387303 with sparse part having weight 31262275.
Pruned matrix : 152381 x 153513 with weight 10650969.
Total sieving time: 4.62 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,1400000,1400000,25,25,47,47,2.3,2.3,50000
total time: 4.74 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405122)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

2×10141+9

c128

name 名前Jo Yeong Uk
date 日付November 15, 2007 05:52:57 UTC 2007 年 11 月 15 日 (木) 14 時 52 分 57 秒 (日本時間)
composite number 合成数
63564209137520160828475746211489351888520291688068698024161891639200326972468705608592258442484833328985146148995415235418800347<128>
prime factors 素因数
193589288637298059074525377001965216949<39>
468214580957084640590379178323139739604088747<45>
701271823576894703710295051061370970173632749<45>
factorization results 素因数分解の結果
Number: 20009_141
N=63564209137520160828475746211489351888520291688068698024161891639200326972468705608592258442484833328985146148995415235418800347
  ( 128 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=193589288637298059074525377001965216949 (pp39)
 r2=468214580957084640590379178323139739604088747 (pp45)
 r3=701271823576894703710295051061370970173632749 (pp45)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 5.50 hours.
Scaled time: 11.67 units (timescale=2.123).
Factorization parameters were as follows:
n: 63564209137520160828475746211489351888520291688068698024161891639200326972468705608592258442484833328985146148995415235418800347
m: 10000000000000000000000000000
c5: 20
c0: 9
skew: 0.85
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved algebraic special-q in [750000, 1100001)
Primes: RFBsize:114155, AFBsize:113962, largePrimes:3318316 encountered
Relations: rels:3434745, finalFF:413798
Max relations in full relation-set: 28
Initial matrix: 228184 x 413798 with sparse part having weight 34667463.
Pruned matrix : 162968 x 164172 with weight 12380892.
Total sieving time: 5.34 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,47,47,2.3,2.3,50000
total time: 5.50 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405122)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

2×10142+9

c84

name 名前Sinkiti Sibata
date 日付November 13, 2007 13:14:43 UTC 2007 年 11 月 13 日 (火) 22 時 14 分 43 秒 (日本時間)
composite number 合成数
197018166554355499780407837997782804306340474278893940041682769225414512357104360249<84>
prime factors 素因数
36136781193374500273671200283243499<35>
5452012051103151492998305179171168472959562758251<49>
factorization results 素因数分解の結果
Tue Nov 13 17:25:38 2007  Msieve v. 1.28
Tue Nov 13 17:25:38 2007  random seeds: 101e150d 418d085c
Tue Nov 13 17:25:38 2007  factoring 197018166554355499780407837997782804306340474278893940041682769225414512357104360249 (84 digits)
Tue Nov 13 17:25:39 2007  commencing quadratic sieve (83-digit input)
Tue Nov 13 17:25:40 2007  using multiplier of 29
Tue Nov 13 17:25:40 2007  using 64kb Pentium 2 sieve core
Tue Nov 13 17:25:40 2007  sieve interval: 6 blocks of size 65536
Tue Nov 13 17:25:40 2007  processing polynomials in batches of 17
Tue Nov 13 17:25:40 2007  using a sieve bound of 1392707 (53151 primes)
Tue Nov 13 17:25:40 2007  using large prime bound of 121165509 (26 bits)
Tue Nov 13 17:25:40 2007  using double large prime bound of 354880447655010 (41-49 bits)
Tue Nov 13 17:25:40 2007  using trial factoring cutoff of 49 bits
Tue Nov 13 17:25:40 2007  polynomial 'A' values have 11 factors
Tue Nov 13 21:04:22 2007  53343 relations (15805 full + 37538 combined from 575786 partial), need 53247
Tue Nov 13 21:04:28 2007  begin with 591591 relations
Tue Nov 13 21:04:31 2007  reduce to 124728 relations in 11 passes
Tue Nov 13 21:04:31 2007  attempting to read 124728 relations
Tue Nov 13 21:04:40 2007  recovered 124728 relations
Tue Nov 13 21:04:40 2007  recovered 100888 polynomials
Tue Nov 13 21:04:54 2007  attempting to build 53343 cycles
Tue Nov 13 21:04:55 2007  found 53343 cycles in 5 passes
Tue Nov 13 21:04:57 2007  distribution of cycle lengths:
Tue Nov 13 21:04:57 2007     length 1 : 15805
Tue Nov 13 21:04:57 2007     length 2 : 10899
Tue Nov 13 21:04:57 2007     length 3 : 9489
Tue Nov 13 21:04:57 2007     length 4 : 6716
Tue Nov 13 21:04:57 2007     length 5 : 4439
Tue Nov 13 21:04:57 2007     length 6 : 2729
Tue Nov 13 21:04:57 2007     length 7 : 1532
Tue Nov 13 21:04:57 2007     length 9+: 1734
Tue Nov 13 21:04:57 2007  largest cycle: 17 relations
Tue Nov 13 21:04:57 2007  matrix is 53151 x 53343 with weight 2794558 (avg 52.39/col)
Tue Nov 13 21:04:59 2007  filtering completed in 3 passes
Tue Nov 13 21:04:59 2007  matrix is 48275 x 48339 with weight 2547868 (avg 52.71/col)
Tue Nov 13 21:05:01 2007  saving the first 48 matrix rows for later
Tue Nov 13 21:05:01 2007  matrix is 48227 x 48339 with weight 1924721 (avg 39.82/col)
Tue Nov 13 21:05:01 2007  matrix includes 64 packed rows
Tue Nov 13 21:05:02 2007  commencing Lanczos iteration
Tue Nov 13 21:09:26 2007  lanczos halted after 764 iterations
Tue Nov 13 21:09:27 2007  recovered 17 nontrivial dependencies
Tue Nov 13 21:09:49 2007  prp35 factor: 36136781193374500273671200283243499
Tue Nov 13 21:09:49 2007  prp49 factor: 5452012051103151492998305179171168472959562758251
Tue Nov 13 21:09:49 2007  elapsed time 03:44:11
execution environment 実行環境
Pentiu3 750MHz,  Windows Me)

2×10143+9

c92

name 名前Jo Yeong Uk
date 日付November 14, 2007 14:32:39 UTC 2007 年 11 月 14 日 (水) 23 時 32 分 39 秒 (日本時間)
composite number 合成数
13924909713824200219224541074202380892627126993472216666474137256898926894158453179847045723<92>
prime factors 素因数
378442673724566134246810453283328526129<39>
36795294718689337041099821264332695452995703051552587<53>
factorization results 素因数分解の結果
Wed Nov 14 21:20:40 2007  
Wed Nov 14 21:20:40 2007  
Wed Nov 14 21:20:40 2007  Msieve v. 1.28
Wed Nov 14 21:20:40 2007  random seeds: 3b93c2a8 eb1b55fc
Wed Nov 14 21:20:40 2007  factoring 13924909713824200219224541074202380892627126993472216666474137256898926894158453179847045723 (92 digits)
Wed Nov 14 21:20:41 2007  commencing quadratic sieve (91-digit input)
Wed Nov 14 21:20:41 2007  using multiplier of 3
Wed Nov 14 21:20:41 2007  using 32kb Intel Core sieve core
Wed Nov 14 21:20:41 2007  sieve interval: 36 blocks of size 32768
Wed Nov 14 21:20:41 2007  processing polynomials in batches of 6
Wed Nov 14 21:20:41 2007  using a sieve bound of 1753547 (65732 primes)
Wed Nov 14 21:20:41 2007  using large prime bound of 177108247 (27 bits)
Wed Nov 14 21:20:41 2007  using double large prime bound of 702796695147472 (42-50 bits)
Wed Nov 14 21:20:41 2007  using trial factoring cutoff of 50 bits
Wed Nov 14 21:20:41 2007  polynomial 'A' values have 12 factors
Wed Nov 14 22:27:23 2007  66322 relations (17638 full + 48684 combined from 795835 partial), need 65828
Wed Nov 14 22:27:23 2007  begin with 813473 relations
Wed Nov 14 22:27:24 2007  reduce to 163711 relations in 11 passes
Wed Nov 14 22:27:24 2007  attempting to read 163711 relations
Wed Nov 14 22:27:25 2007  recovered 163711 relations
Wed Nov 14 22:27:25 2007  recovered 140908 polynomials
Wed Nov 14 22:27:25 2007  attempting to build 66322 cycles
Wed Nov 14 22:27:25 2007  found 66322 cycles in 5 passes
Wed Nov 14 22:27:25 2007  distribution of cycle lengths:
Wed Nov 14 22:27:25 2007     length 1 : 17638
Wed Nov 14 22:27:25 2007     length 2 : 12531
Wed Nov 14 22:27:25 2007     length 3 : 11404
Wed Nov 14 22:27:25 2007     length 4 : 8950
Wed Nov 14 22:27:25 2007     length 5 : 6342
Wed Nov 14 22:27:25 2007     length 6 : 4034
Wed Nov 14 22:27:25 2007     length 7 : 2526
Wed Nov 14 22:27:25 2007     length 9+: 2897
Wed Nov 14 22:27:25 2007  largest cycle: 17 relations
Wed Nov 14 22:27:25 2007  matrix is 65732 x 66322 with weight 3973198 (avg 59.91/col)
Wed Nov 14 22:27:26 2007  filtering completed in 3 passes
Wed Nov 14 22:27:26 2007  matrix is 61414 x 61478 with weight 3685100 (avg 59.94/col)
Wed Nov 14 22:27:27 2007  saving the first 48 matrix rows for later
Wed Nov 14 22:27:27 2007  matrix is 61366 x 61478 with weight 2818330 (avg 45.84/col)
Wed Nov 14 22:27:27 2007  matrix includes 64 packed rows
Wed Nov 14 22:27:27 2007  using block size 24591 for processor cache size 4096 kB
Wed Nov 14 22:27:28 2007  commencing Lanczos iteration
Wed Nov 14 22:27:44 2007  lanczos halted after 972 iterations
Wed Nov 14 22:27:44 2007  recovered 16 nontrivial dependencies
Wed Nov 14 22:27:45 2007  prp39 factor: 378442673724566134246810453283328526129
Wed Nov 14 22:27:45 2007  prp53 factor: 36795294718689337041099821264332695452995703051552587
Wed Nov 14 22:27:45 2007  elapsed time 01:07:05
execution environment 実行環境
Core 2 Quad Q6600

2×10144+9

c139

name 名前Jo Yeong Uk
date 日付November 13, 2007 11:16:46 UTC 2007 年 11 月 13 日 (火) 20 時 16 分 46 秒 (日本時間)
composite number 合成数
4235915052959527949626498190205293623041683522078648234788299555440715191897541686699014937954434261775314357845867758967961656496940610353<139>
prime factors 素因数
128461577505546794238270375795409<33>
32974179012994192473352789524852599153449785137428491442089586166492685253837254412846376457647278813227617<107>
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 4235915052959527949626498190205293623041683522078648234788299555440715191897541686699014937954434261775314357845867758967961656496940610353 (139 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=72529746
Step 1 took 7184ms
Step 2 took 3985ms
********** Factor found in step 2: 128461577505546794238270375795409
Found probable prime factor of 33 digits: 128461577505546794238270375795409
Probable prime cofactor 32974179012994192473352789524852599153449785137428491442089586166492685253837254412846376457647278813227617 has 107 digits
execution environment 実行環境
Core 2 Quad Q6600

2×10146+9

c142

name 名前Robert Backstrom
date 日付November 15, 2007 16:53:52 UTC 2007 年 11 月 16 日 (金) 1 時 53 分 52 秒 (日本時間)
composite number 合成数
2160130471880501582295570652467409031505502932377115577780897966237160724507760268720230701934396837568989166945683519284564787713177875943707<142>
prime factors 素因数
5697591929599718777554446090898432894508443<43>
379130428884937776481991873307188799908650024737963391395977785501700705423478684413792248504210049<99>
factorization results 素因数分解の結果
Number: n
N=2160130471880501582295570652467409031505502932377115577780897966237160724507760268720230701934396837568989166945683519284564787713177875943707
  ( 142 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=5697591929599718777554446090898432894508443 (pp43)
 r2=379130428884937776481991873307188799908650024737963391395977785501700705423478684413792248504210049 (pp99)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 8.11 hours.
Scaled time: 10.69 units (timescale=1.318).
Factorization parameters were as follows:
name: KA_2_0_145_9
n: 2160130471880501582295570652467409031505502932377115577780897966237160724507760268720230701934396837568989166945683519284564787713177875943707
skew: 0.85
deg: 5
c5: 20
c0: 9
m: 100000000000000000000000000000
type: snfs
rlim: 2200000
alim: 2200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 850001)
Primes: RFBsize:162662, AFBsize:162600, largePrimes:6215071 encountered
Relations: rels:5583240, finalFF:372600
Max relations in full relation-set: 48
Initial matrix: 325329 x 372600 with sparse part having weight 24152920.
Pruned matrix : 286219 x 287909 with weight 14211438.
Total sieving time: 6.19 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.66 hours.
Total square root time: 0.10 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,2200000,2200000,28,28,48,48,2.5,2.5,100000
total time: 8.11 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

2×10147+9

c127

name 名前Sinkiti Sibata
date 日付November 16, 2007 22:25:41 UTC 2007 年 11 月 17 日 (土) 7 時 25 分 41 秒 (日本時間)
composite number 合成数
1516579896402744219014433937457116142826101612462661029810181639049330302450011786700883958686428599152590539537076162355488601<127>
prime factors 素因数
48974472633629490212445941599538267<35>
30966742771240142891864085906864765198542074244953818306582481386219016872212029624089901403<92>
factorization results 素因数分解の結果
Number: 20009_147
N=1516579896402744219014433937457116142826101612462661029810181639049330302450011786700883958686428599152590539537076162355488601
  ( 127 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=48974472633629490212445941599538267 (pp35)
 r2=30966742771240142891864085906864765198542074244953818306582481386219016872212029624089901403 (pp92)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 17.87 hours.
Scaled time: 12.06 units (timescale=0.675).
Factorization parameters were as follows:
name: 20009_147
n: 1516579896402744219014433937457116142826101612462661029810181639049330302450011786700883958686428599152590539537076162355488601
m: 100000000000000000000000000000
c5: 200
c0: 9
skew: 0.54
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [750000, 2350001)
Primes: RFBsize:114155, AFBsize:114287, largePrimes:2723540 encountered
Relations: rels:2681399, finalFF:265609
Max relations in full relation-set: 28
Initial matrix: 228507 x 265609 with sparse part having weight 23794062.
Pruned matrix : 215996 x 217202 with weight 17271817.
Total sieving time: 16.25 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.37 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 17.87 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP )

2×10148+9

c140

name 名前Sinkiti Sibata
date 日付November 17, 2007 22:17:26 UTC 2007 年 11 月 18 日 (日) 7 時 17 分 26 秒 (日本時間)
composite number 合成数
29042655068025427477641936744710994528214215510409132260749261322213369262621494629040875043696308199191832070407911191359581261140499285033<140>
prime factors 素因数
609146353706828448793174289718131<33>
150327116082360350342458857196514705709372161<45>
317159220689745360562169219217954642762236170568071499368229363<63>
factorization results 素因数分解の結果
Number: 20009_148
N=29042655068025427477641936744710994528214215510409132260749261322213369262621494629040875043696308199191832070407911191359581261140499285033
  ( 140 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=609146353706828448793174289718131 (pp33)
 r2=150327116082360350342458857196514705709372161 (pp45)
 r3=317159220689745360562169219217954642762236170568071499368229363 (pp63)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 20.82 hours.
Scaled time: 14.06 units (timescale=0.675).
Factorization parameters were as follows:
name: 20009_148
n: 29042655068025427477641936744710994528214215510409132260749261322213369262621494629040875043696308199191832070407911191359581261140499285033
m: 200000000000000000000000000000
c5: 125
c0: 18
skew: 0.68
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [750000, 2650001)
Primes: RFBsize:114155, AFBsize:113727, largePrimes:2759008 encountered
Relations: rels:2717014, finalFF:256815
Max relations in full relation-set: 28
Initial matrix: 227948 x 256815 with sparse part having weight 24576686.
Pruned matrix : 218819 x 220022 with weight 19196213.
Total sieving time: 19.03 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.53 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 20.82 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP )

2×10149+9

c135

name 名前Jo Yeong Uk
date 日付November 15, 2007 23:23:19 UTC 2007 年 11 月 16 日 (金) 8 時 23 分 19 秒 (日本時間)
composite number 合成数
457845995506559311920071361063861840226353200596349254744820183599147637255647440000439776818147406947190006280979032862128666078562041<135>
prime factors 素因数
1863452397272640607861076350654167212689<40>
245697714723845525541313190866322224591579633478192557941408979790414184607140661966923663278569<96>
factorization results 素因数分解の結果
Number: 20009_149
N=457845995506559311920071361063861840226353200596349254744820183599147637255647440000439776818147406947190006280979032862128666078562041
  ( 135 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=1863452397272640607861076350654167212689 (pp40)
 r2=245697714723845525541313190866322224591579633478192557941408979790414184607140661966923663278569 (pp96)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 9.32 hours.
Scaled time: 19.79 units (timescale=2.123).
Factorization parameters were as follows:
n: 457845995506559311920071361063861840226353200596349254744820183599147637255647440000439776818147406947190006280979032862128666078562041
m: 1000000000000000000000000000000
c5: 1
c0: 45
skew: 2.14
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, 1500001)
Primes: RFBsize:135072, AFBsize:135163, largePrimes:3697267 encountered
Relations: rels:3741082, finalFF:354567
Max relations in full relation-set: 28
Initial matrix: 270299 x 354567 with sparse part having weight 30900567.
Pruned matrix : 237134 x 238549 with weight 17237573.
Total sieving time: 9.00 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.25 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,48,48,2.3,2.3,75000
total time: 9.32 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405122)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

2×10151+9

c152

name 名前Jo Yeong Uk
date 日付November 13, 2007 23:31:09 UTC 2007 年 11 月 14 日 (水) 8 時 31 分 9 秒 (日本時間)
composite number 合成数
20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009<152>
prime factors 素因数
5361545627942898041009151470006806437953024698709373565545033283<64>
3730267610848168946728870898319835513379653329283710892077298113553792162530729021571523<88>
factorization results 素因数分解の結果
Number: 20009_151
N=20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009
  ( 152 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=5361545627942898041009151470006806437953024698709373565545033283 (pp64)
 r2=3730267610848168946728870898319835513379653329283710892077298113553792162530729021571523 (pp88)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 11.44 hours.
Scaled time: 24.53 units (timescale=2.145).
Factorization parameters were as follows:
n: 20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009
m: 1000000000000000000000000000000
c5: 20
c0: 9
skew: 0.85
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, 1900001)
Primes: RFBsize:176302, AFBsize:176393, largePrimes:5255231 encountered
Relations: rels:5101022, finalFF:437517
Max relations in full relation-set: 28
Initial matrix: 352762 x 437517 with sparse part having weight 35441926.
Pruned matrix : 301643 x 303470 with weight 21914347.
Total sieving time: 10.89 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.44 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 11.44 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405122)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

2×10152+9

c148

name 名前Robert Backstrom
date 日付November 16, 2007 22:51:20 UTC 2007 年 11 月 17 日 (土) 7 時 51 分 20 秒 (日本時間)
composite number 合成数
3195960306172997331373144345547228303424471468064366640566324166253855127119321178030968855366816344141005768708352642260183128525543712747087681171<148>
prime factors 素因数
246315360411796404596074328483957549191621049813614560388841748191993<69>
12975075126577197804004996961447593348172069718738575880540661517804485822477547<80>
factorization results 素因数分解の結果
Number: n
N=3195960306172997331373144345547228303424471468064366640566324166253855127119321178030968855366816344141005768708352642260183128525543712747087681171
  ( 148 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=246315360411796404596074328483957549191621049813614560388841748191993 (pp69)
 r2=12975075126577197804004996961447593348172069718738575880540661517804485822477547 (pp80)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 16.67 hours.
Scaled time: 14.62 units (timescale=0.877).
Factorization parameters were as follows:
name: KA_2_0_151_9
n: 3195960306172997331373144345547228303424471468064366640566324166253855127119321178030968855366816344141005768708352642260183128525543712747087681171
skew: 0.54
deg: 5
c5: 200
c0: 9
m: 1000000000000000000000000000000
type: snfs
rlim: 2800000
alim: 2800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 650001)
Primes: RFBsize:203362, AFBsize:203482, largePrimes:6183842 encountered
Relations: rels:5700058, finalFF:479667
Max relations in full relation-set: 28
Initial matrix: 406909 x 479667 with sparse part having weight 26262880.
Pruned matrix : 339138 x 341236 with weight 14609906.
Total sieving time: 14.71 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 1.47 hours.
Total square root time: 0.32 hours, sqrts: 4.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2800000,2800000,28,28,48,48,2.5,2.5,100000
total time: 16.67 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

2×10153+9

c116

name 名前Jo Yeong Uk
date 日付November 18, 2007 15:05:31 UTC 2007 年 11 月 19 日 (月) 0 時 5 分 31 秒 (日本時間)
composite number 合成数
28924924332700020078102154409371603648546043054508471127824139389385626667861861974281623089899076036621178091363941<116>
prime factors 素因数
2959271181514799226974060568985564239580538542286449<52>
9774340558371489481440431760860958181256487808303078991400909109<64>
factorization results 素因数分解の結果
Number: 20009_153
N=28924924332700020078102154409371603648546043054508471127824139389385626667861861974281623089899076036621178091363941
  ( 116 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=2959271181514799226974060568985564239580538542286449 (pp52)
 r2=9774340558371489481440431760860958181256487808303078991400909109 (pp64)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 13.75 hours.
Scaled time: 29.35 units (timescale=2.134).
Factorization parameters were as follows:
n: 28924924332700020078102154409371603648546043054508471127824139389385626667861861974281623089899076036621178091363941
m: 10000000000000000000000000000000
c5: 1
c0: 450
skew: 3.39
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, 2300001)
Primes: RFBsize:216816, AFBsize:216826, largePrimes:5458908 encountered
Relations: rels:5374729, finalFF:530472
Max relations in full relation-set: 28
Initial matrix: 433706 x 530472 with sparse part having weight 36351069.
Pruned matrix : 358650 x 360882 with weight 22220315.
Total sieving time: 13.03 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.61 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 13.75 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: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405122)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

2×10154+9

c147

name 名前Robert Backstrom
date 日付November 18, 2007 11:15:43 UTC 2007 年 11 月 18 日 (日) 20 時 15 分 43 秒 (日本時間)
composite number 合成数
106080309594110586696617947039119018304385493129409072262824490186120714311071268289763648455730854269029413911116146625540532880538725457703783603<147>
prime factors 素因数
830079215274331883817516423026643554541585944243418276953<57>
127795405115706014236248092068937621366157768320616692605819506501989361071666161673603051<90>
factorization results 素因数分解の結果
Number: n
N=106080309594110586696617947039119018304385493129409072262824490186120714311071268289763648455730854269029413911116146625540532880538725457703783603
  ( 147 digits)
SNFS difficulty: 155 digits.
Divisors found:

Sun Nov 18 21:03:15 2007  prp57 factor: 830079215274331883817516423026643554541585944243418276953
Sun Nov 18 21:03:15 2007  prp90 factor: 127795405115706014236248092068937621366157768320616692605819506501989361071666161673603051
Sun Nov 18 21:03:15 2007  elapsed time 00:52:25 (Msieve 1.29)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 17.88 hours.
Scaled time: 23.42 units (timescale=1.310).
Factorization parameters were as follows:
name: KA_2_0_153_9
n: 106080309594110586696617947039119018304385493129409072262824490186120714311071268289763648455730854269029413911116146625540532880538725457703783603
skew: 2.14
deg: 5
c5: 1
c0: 45
m: 10000000000000000000000000000000
type: snfs
rlim: 2800000
alim: 2800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 750000)
Primes: RFBsize:203362, AFBsize:203572, largePrimes:6377392 encountered
Relations: rels:5863802, finalFF:471912
Max relations in full relation-set: 28
Initial matrix: 406998 x 471912 with sparse part having weight 26578410.
Pruned matrix : 347290 x 349388 with weight 15627841.
Total sieving time: 17.71 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,2800000,2800000,28,28,48,48,2.5,2.5,100000
total time: 17.88 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

2×10158+9

c141

name 名前Robert Backstrom
date 日付November 18, 2007 17:56:00 UTC 2007 年 11 月 19 日 (月) 2 時 56 分 0 秒 (日本時間)
composite number 合成数
135618024465935668673452256168986724441461820390227776188624767544599287383745530333827887959020943960258308139308688304813196919473826088353<141>
prime factors 素因数
3675342336556885802003207981173427<34>
36899426515186775228625677333483856599631170454625200580800988523050776047130897857948345990003506238466139<107>
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 135618024465935668673452256168986724441461820390227776188624767544599287383745530333827887959020943960258308139308688304813196919473826088353 (141 digits)
Using B1=873000, B2=691833918, polynomial Dickson(3), sigma=2242299254
Step 1 took 12875ms
Step 2 took 6547ms
********** Factor found in step 2: 3675342336556885802003207981173427
Found probable prime factor of 34 digits: 3675342336556885802003207981173427
Probable prime cofactor 36899426515186775228625677333483856599631170454625200580800988523050776047130897857948345990003506238466139 has 107 digits

2×10161+9

c160

name 名前Robert Backstrom
date 日付November 18, 2007 02:43:07 UTC 2007 年 11 月 18 日 (日) 11 時 43 分 7 秒 (日本時間)
composite number 合成数
2247191011235955056179775280898876404494382022471910112359550561797752808988764044943820224719101123595505617977528089887640449438202247191011235955056179775281<160>
prime factors 素因数
34658477847360659014058595102069167012530568460007500101714626375633760287<74>
64838133432541527475079803698431770081537553848180889286332859833318730119895305215663<86>
factorization results 素因数分解の結果
Number: n
N=2247191011235955056179775280898876404494382022471910112359550561797752808988764044943820224719101123595505617977528089887640449438202247191011235955056179775281
  ( 160 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=34658477847360659014058595102069167012530568460007500101714626375633760287 (pp74)
 r2=64838133432541527475079803698431770081537553848180889286332859833318730119895305215663 (pp86)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 44.07 hours.
Scaled time: 58.35 units (timescale=1.324).
Factorization parameters were as follows:
name: KA_2_0_160_9
n: 2247191011235955056179775280898876404494382022471910112359550561797752808988764044943820224719101123595505617977528089887640449438202247191011235955056179775281
skew: 0.85
deg: 5
c5: 20
c0: 9
m: 100000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1500001)
Primes: RFBsize:216816, AFBsize:216651, largePrimes:7001649 encountered
Relations: rels:6463003, finalFF:491333
Max relations in full relation-set: 48
Initial matrix: 433534 x 491333 with sparse part having weight 39251584.
Pruned matrix : 388274 x 390505 with weight 25421104.
Total sieving time: 39.34 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 4.37 hours.
Total square root time: 0.08 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 44.07 hours.
 --------- CPU info (if available) ----------

2×10162+9

c153

name 名前Robert Backstrom
date 日付November 21, 2007 03:36:58 UTC 2007 年 11 月 21 日 (水) 12 時 36 分 58 秒 (日本時間)
composite number 合成数
291001503208859535061564265651302436861094295924708253361979542649323701281159624158760359646784825637743314939558512723565886104522114020560808112722539<153>
prime factors 素因数
27122851242050836906551105038309233622985323233<47>
10729015936115722072912979992395528159519097329221924474233456905349010539193520511048503243582233656097483<107>
factorization results 素因数分解の結果
Number: n
N=291001503208859535061564265651302436861094295924708253361979542649323701281159624158760359646784825637743314939558512723565886104522114020560808112722539
  ( 153 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=27122851242050836906551105038309233622985323233 (pp47)
 r2=10729015936115722072912979992395528159519097329221924474233456905349010539193520511048503243582233656097483 (pp107)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 36.87 hours.
Scaled time: 48.12 units (timescale=1.305).
Factorization parameters were as follows:
name: KA_2_0_161_9
n: 291001503208859535061564265651302436861094295924708253361979542649323701281159624158760359646784825637743314939558512723565886104522114020560808112722539
skew: 1.08
deg: 5
c5: 25
c0: 36
m: 200000000000000000000000000000000
type: snfs
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1550001)
Primes: RFBsize:230209, AFBsize:230472, largePrimes:7089581 encountered
Relations: rels:6599696, finalFF:530658
Max relations in full relation-set: 28
Initial matrix: 460745 x 530658 with sparse part having weight 35163360.
Pruned matrix : 401897 x 404264 with weight 22662170.
Total sieving time: 33.35 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 3.15 hours.
Total square root time: 0.12 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.5,2.5,100000
total time: 36.87 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

2×10164+9

c143

name 名前Robert Backstrom
date 日付January 22, 2008 12:07:15 UTC 2008 年 1 月 22 日 (火) 21 時 7 分 15 秒 (日本時間)
composite number 合成数
26498657463501774710786304364562173257102193262370047211443501109678795224636984084060517451881873318073703378052692450542514081851319770912811<143>
prime factors 素因数
67130200642296191884709171155818744379421413745297802772910633<62>
394735263859854699241113017883444812425244047937865162764408227983060854002018867<81>
factorization results 素因数分解の結果
Number: n
N=26498657463501774710786304364562173257102193262370047211443501109678795224636984084060517451881873318073703378052692450542514081851319770912811
  ( 143 digits)
SNFS difficulty: 165 digits.
Divisors found:

Tue Jan 22 22:48:01 2008  prp62 factor: 67130200642296191884709171155818744379421413745297802772910633
Tue Jan 22 22:48:01 2008  prp81 factor: 394735263859854699241113017883444812425244047937865162764408227983060854002018867
Tue Jan 22 22:48:01 2008  elapsed time 00:36:37 (Msieve 1.33)

Version: GGNFS-0.77.1-20051202-k8
Total time: 30.93 hours.
Scaled time: 25.89 units (timescale=0.837).
Factorization parameters were as follows:
name: KA_2_0_163_9
n: 26498657463501774710786304364562173257102193262370047211443501109678795224636984084060517451881873318073703378052692450542514081851319770912811
type: snfs
deg: 5
c5: 1
c0: 45
skew: 2.14
m: 1000000000000000000000000000000000
rlim: 3000000
alim: 3000000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved  special-q in [100000, 100000)
Primes: RFBsize:216816, AFBsize:216986, largePrimes:5519473 encountered
Relations: rels:5435506, finalFF:523534
Max relations in full relation-set: 28
Initial matrix: 433866 x 523534 with sparse part having weight 39663812.
Pruned matrix : 365732 x 367965 with weight 25276057.
Total sieving time: 29.39 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.38 hours.
Total square root time: 0.01 hours, sqrts: 32.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.5,2.5,100000
total time: 30.93 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6045.69 BogoMIPS (lpj=3022848)
Total of 2 processors activated (12009.47 BogoMIPS).

2×10167+9

c124

name 名前matsui
date 日付December 25, 2007 22:46:27 UTC 2007 年 12 月 26 日 (水) 7 時 46 分 27 秒 (日本時間)
composite number 合成数
1859202988246876566381452884068131590659953240147645274080909534187043414526270082207047941221587915349634178688954923148049<124>
prime factors 素因数
6290280740566369228935563961231140837620944228695383054749943<61>
295567569227359507343672924451640185453395509237894904088703543<63>
factorization results 素因数分解の結果
N=1859202988246876566381452884068131590659953240147645274080909534187043414526270082207047941221587915349634178688954923148049
  ( 124 digits)


SNFS difficulty: 167 digits.

Divisors found:

 r1=6290280740566369228935563961231140837620944228695383054749943 (pp61)

 r2=295567569227359507343672924451640185453395509237894904088703543 (pp63)


Version: GGNFS-0.77.1-20060513-pentium4


Total time: 127.80 hours.


Scaled time: 166.65 units (timescale=1.304).


Factorization parameters were as follows:


n: 1859202988246876566381452884068131590659953240147645274080909534187043414526270082207047941221587915349634178688954923148049

m: 1000000000000000000000000000000000

c5: 200

c0: 9
skew: 0.54
type: snfs


Factor base limits: 5500000/5500000


Large primes per side: 3


Large prime bits: 27/27


Max factor residue bits: 48/48


Sieved algebraic special-q in [2750000, 5450001)


Primes: RFBsize:380800, AFBsize:380082, largePrimes:5892464 encountered


Relations: rels:6135246, finalFF:894339


Max relations in full relation-set: 28


Initial matrix: 760947 x 894339 with sparse part having weight 44957251.


Pruned matrix : 648054 x 651922 with weight 30819584.


Total sieving time: 114.05 hours.


Total relation processing time: 0.20 hours.


Matrix solve time: 13.26 hours.


Time per square root: 0.29 hours.


Prototype def-par.txt line would be:


snfs,167,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,48,48,2.6,2.6,100000


total time: 127.80 hours.
 

2×10170+9

c153

name 名前Serge Batalov
date 日付October 2, 2008 08:08:32 UTC 2008 年 10 月 2 日 (木) 17 時 8 分 32 秒 (日本時間)
composite number 合成数
871755951873275586123258333978291306103292360757301172088003867913152232141571481332305182634271936919961740017835684580812255702438564614962091701506211<153>
prime factors 素因数
31898045403876622590018206760962939<35>
27329447332447825571832005501356411557247380282440211338517340420235479911185535153515772085011975930967362685161689849<119>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2478872043
Step 1 took 262323ms
Step 2 took 79158ms
********** Factor found in step 2: 31898045403876622590018206760962939
Found probable prime factor of 35 digits: 31898045403876622590018206760962939
Probable prime cofactor 27329447332447825571832005501356411557247380282440211338517340420235479911185535153515772085011975930967362685161689849 has 119 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 KamadaNovember 13, 2007 09:00:00 UTC 2007 年 11 月 13 日 (火) 18 時 0 分 0 秒 (日本時間)

2×10171+9

c147

name 名前Dmitry Domanov
date 日付June 9, 2009 17:24:17 UTC 2009 年 6 月 10 日 (水) 2 時 24 分 17 秒 (日本時間)
composite number 合成数
231778986537320677801226802695452483751885670647281900874278955053080409703130715020584617921541948092406627983916861300956390642421187240689052481<147>
prime factors 素因数
332698364302461530229511915253909389<36>
composite cofactor 合成数の残り
696664039882704701975721828063080480151348232344868154988400858011494357876797914528601178091872120507409021829<111>
factorization results 素因数分解の結果
C147=P36*C111
C147=332698364302461530229511915253909389<36>*6966640398827047019757218280630804801513482323448681549884008580114943578767979145286011780918721205
07409021829<111>

c111

name 名前Robert Backstrom
date 日付June 12, 2009 07:28:48 UTC 2009 年 6 月 12 日 (金) 16 時 28 分 48 秒 (日本時間)
composite number 合成数
696664039882704701975721828063080480151348232344868154988400858011494357876797914528601178091872120507409021829<111>
prime factors 素因数
327466429908302051990172078925450170528187<42>
2127436513348211799209267764223221467462419313254632912251556151595967<70>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 696664039882704701975721828063080480151348232344868154988400858011494357876797914528601178091872120507409021829 (111 digits)
Using B1=4406000, B2=8561918830, polynomial Dickson(6), sigma=3722705023
Step 1 took 43711ms
Step 2 took 13978ms
********** Factor found in step 2: 327466429908302051990172078925450170528187
Found probable prime factor of 42 digits: 327466429908302051990172078925450170528187
Probable prime cofactor 2127436513348211799209267764223221467462419313254632912251556151595967 has 70 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2007 09:00:00 UTC 2007 年 11 月 13 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6198 / 825Andreas TeteJune 11, 2009 21:41:48 UTC 2009 年 6 月 12 日 (金) 6 時 41 分 48 秒 (日本時間)

2×10174+9

c130

name 名前Robert Backstrom
date 日付February 14, 2008 15:51:56 UTC 2008 年 2 月 15 日 (金) 0 時 51 分 56 秒 (日本時間)
composite number 合成数
3146039783310335240813442965301018894265140930707396821936450274903491492203357889586747238547230110835859605216322825436032128011<130>
prime factors 素因数
6474833169609810754024951641805051<34>
6504635362555600808299400218239308558804216297<46>
74698635967538385695610601830647283165089131842313<50>
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 3146039783310335240813442965301018894265140930707396821936450274903491492203357889586747238547230110835859605216322825436032128011 (130 digits)
Using B1=2726000, B2=4281513610, polynomial Dickson(6), sigma=261808550
Step 1 took 27029ms
Step 2 took 11495ms
********** Factor found in step 2: 6474833169609810754024951641805051
Found probable prime factor of 34 digits: 6474833169609810754024951641805051
Composite cofactor 485887389049117890210490665624086802374006262683353795179735136350962989087028228699823748774961 has 96 digits


Thu Feb 14 23:19:07 2008  
Thu Feb 14 23:19:07 2008  
Thu Feb 14 23:19:07 2008  Msieve v. 1.33
Thu Feb 14 23:19:07 2008  random seeds: a04a6710 79a96968
Thu Feb 14 23:19:07 2008  factoring 485887389049117890210490665624086802374006262683353795179735136350962989087028228699823748774961 (96 digits)
Thu Feb 14 23:19:08 2008  no P-1/P+1/ECM available, skipping
Thu Feb 14 23:19:08 2008  commencing quadratic sieve (96-digit input)
Thu Feb 14 23:19:08 2008  using multiplier of 1
Thu Feb 14 23:19:08 2008  using 64kb Opteron sieve core
Thu Feb 14 23:19:08 2008  sieve interval: 18 blocks of size 65536
Thu Feb 14 23:19:08 2008  processing polynomials in batches of 6
Thu Feb 14 23:19:08 2008  using a sieve bound of 2263381 (83529 primes)
Thu Feb 14 23:19:08 2008  using large prime bound of 339507150 (28 bits)
Thu Feb 14 23:19:08 2008  using double large prime bound of 2267399519796450 (43-52 bits)
Thu Feb 14 23:19:08 2008  using trial factoring cutoff of 52 bits
Thu Feb 14 23:19:08 2008  polynomial 'A' values have 12 factors
Fri Feb 15 02:20:26 2008  83856 relations (20273 full + 63583 combined from 1263041 partial), need 83625
Fri Feb 15 02:20:27 2008  begin with 1283314 relations
Fri Feb 15 02:20:28 2008  reduce to 220570 relations in 12 passes
Fri Feb 15 02:20:28 2008  attempting to read 220570 relations
Fri Feb 15 02:20:29 2008  recovered 220570 relations
Fri Feb 15 02:20:29 2008  recovered 205365 polynomials
Fri Feb 15 02:20:30 2008  attempting to build 83856 cycles
Fri Feb 15 02:20:30 2008  found 83856 cycles in 5 passes
Fri Feb 15 02:20:30 2008  distribution of cycle lengths:
Fri Feb 15 02:20:30 2008     length 1 : 20273
Fri Feb 15 02:20:30 2008     length 2 : 14503
Fri Feb 15 02:20:30 2008     length 3 : 13852
Fri Feb 15 02:20:30 2008     length 4 : 11290
Fri Feb 15 02:20:30 2008     length 5 : 8508
Fri Feb 15 02:20:30 2008     length 6 : 6030
Fri Feb 15 02:20:30 2008     length 7 : 3857
Fri Feb 15 02:20:30 2008     length 9+: 5543
Fri Feb 15 02:20:30 2008  largest cycle: 20 relations
Fri Feb 15 02:20:30 2008  matrix is 83529 x 83856 (22.9 MB) with weight 5672561 (67.65/col)
Fri Feb 15 02:20:30 2008  sparse part has weight 5672561 (67.65/col)
Fri Feb 15 02:20:31 2008  filtering completed in 3 passes
Fri Feb 15 02:20:31 2008  matrix is 79794 x 79858 (21.9 MB) with weight 5427260 (67.96/col)
Fri Feb 15 02:20:31 2008  sparse part has weight 5427260 (67.96/col)
Fri Feb 15 02:20:31 2008  saving the first 48 matrix rows for later
Fri Feb 15 02:20:31 2008  matrix is 79746 x 79858 (15.2 MB) with weight 4438378 (55.58/col)
Fri Feb 15 02:20:31 2008  sparse part has weight 3514587 (44.01/col)
Fri Feb 15 02:20:31 2008  matrix includes 64 packed rows
Fri Feb 15 02:20:31 2008  using block size 31943 for processor cache size 1024 kB
Fri Feb 15 02:20:32 2008  commencing Lanczos iteration
Fri Feb 15 02:20:32 2008  memory use: 13.9 MB
Fri Feb 15 02:21:17 2008  lanczos halted after 1263 iterations (dim = 79745)
Fri Feb 15 02:21:17 2008  recovered 16 nontrivial dependencies
Fri Feb 15 02:21:18 2008  prp46 factor: 6504635362555600808299400218239308558804216297
Fri Feb 15 02:21:18 2008  prp50 factor: 74698635967538385695610601830647283165089131842313
Fri Feb 15 02:21:18 2008  elapsed time 03:02:11

2×10178+9

c166

name 名前Dmitry Domanov
date 日付July 11, 2009 12:20:33 UTC 2009 年 7 月 11 日 (土) 21 時 20 分 33 秒 (日本時間)
composite number 合成数
8615624415878072203360723260840096901367355601829474770225244475330578109510319754190020344782469241417082636571916661607411507759881873599828193760948365878563734577<166>
prime factors 素因数
3607936990392616468032632672857678386811<40>
2387964213017067719981893822914230918809066561665386940290151207986766746538763247553089857459596549258060136674347450493027907<127>
factorization results 素因数分解の結果
C166=P40*P127
C166=3607936990392616468032632672857678386811<40>*2387964213017067719981893822914230918809066561665386940290151207986766746538763247553089857459596549258060136674347450493027907<127>
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2007 09:00:00 UTC 2007 年 11 月 13 日 (火) 18 時 0 分 0 秒 (日本時間)

2×10179+9

c169

name 名前Dmitry Domanov
date 日付July 10, 2009 22:35:49 UTC 2009 年 7 月 11 日 (土) 7 時 35 分 49 秒 (日本時間)
composite number 合成数
2810012702402916539317306641478719536211103693125149346177511853322839726242618231037207610060715156673758699007377246995513754459891340714434734287238297749298518906807<169>
prime factors 素因数
1456349062809436989167539279826921<34>
1929491201087555608892709636519787278782502149025926069860554864817462889929790905160468424725930351070637487831883300700726830778091167<136>
factorization results 素因数分解の結果
C169=P34*P136
C169=1456349062809436989167539279826921<34>*1929491201087555608892709636519787278782502149025926069860554864817462889929790905160468424725930351070637487831883300700726830778091167<136>
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2007 09:00:00 UTC 2007 年 11 月 13 日 (火) 18 時 0 分 0 秒 (日本時間)

2×10180+9

c172

name 名前Dmitry Domanov
date 日付October 12, 2009 20:42:17 UTC 2009 年 10 月 13 日 (火) 5 時 42 分 17 秒 (日本時間)
composite number 合成数
1759200964307415945881496667699103596597795757959022961844803753598653378104728130809208685572388363453139337529090378040913995429439325843510012580688204114303635818829417<172>
prime factors 素因数
25230643818391368849433612677582025214393<41>
188381030611937474058452477960311181949708981007667786593139<60>
370126306304570492482152625078331368757963894231215299250456690859821771<72>
factorization results 素因数分解の結果
Number: 209-1
N=1759200964307415945881496667699103596597795757959022961844803753598653378104728130809208685572388363453139337529090378040913995429439325843510012580688204114303635818829417
  ( 172 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=25230643818391368849433612677582025214393 (pp41)
 r2=188381030611937474058452477960311181949708981007667786593139 (pp60)
 r3=370126306304570492482152625078331368757963894231215299250456690859821771 (pp72)
Version: Msieve-1.40
Total time: 103.49 hours.
Scaled time: 199.53 units (timescale=1.928).
Factorization parameters were as follows:
n: 1759200964307415945881496667699103596597795757959022961844803753598653378104728130809208685572388363453139337529090378040913995429439325843510012580688204114303635818829417
m: 1000000000000000000000000000000000000
deg: 5
c5: 2
c0: 9
skew: 1.35
type: snfs
lss: 1
rlim: 7100000
alim: 7100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7100000/7100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3550000, 5150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1210652 x 1210890
Total sieving time: 100.89 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.86 hours.
Time per square root: 0.58 hours.
Prototype def-par.txt line would be:
snfs,180.000,5,0,0,0,0,0,0,0,0,7100000,7100000,28,28,53,53,2.5,2.5,100000
total time: 103.49 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve 1.42

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2007 09:00:00 UTC 2007 年 11 月 13 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62813Dmitry DomanovJuly 13, 2009 11:47:43 UTC 2009 年 7 月 13 日 (月) 20 時 47 分 43 秒 (日本時間)

2×10181+9

c169

name 名前Dmitry Domanov
date 日付October 12, 2009 20:41:34 UTC 2009 年 10 月 13 日 (火) 5 時 41 分 34 秒 (日本時間)
composite number 合成数
1024251933726726412159577217922272529137088964444678845265845863752286681411054066011468935166086174372679904828164827085696310014344289168171848755274554265733978755441<169>
prime factors 素因数
1261481608100983452099826583383264628723756547588583<52>
811943612296195715347682002355010911159697937936474250522482727122338922394138319045468538601865056237746879402333927<117>
factorization results 素因数分解の結果
Number: 209-2
N=1024251933726726412159577217922272529137088964444678845265845863752286681411054066011468935166086174372679904828164827085696310014344289168171848755274554265733978755441
  ( 169 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=1261481608100983452099826583383264628723756547588583 (pp52)
 r2=811943612296195715347682002355010911159697937936474250522482727122338922394138319045468538601865056237746879402333927 (pp117)
Version: Msieve-1.40
Total time: 123.07 hours.
Scaled time: 242.33 units (timescale=1.969).
Factorization parameters were as follows:
n: 1024251933726726412159577217922272529137088964444678845265845863752286681411054066011468935166086174372679904828164827085696310014344289168171848755274554265733978755441
m: 1000000000000000000000000000000000000
deg: 5
c5: 20
c0: 9
skew: 0.85
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3700000, 5600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1270346 x 1270578
Total sieving time: 120.58 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.06 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
total time: 123.07 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve 1.42

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2007 09:00:00 UTC 2007 年 11 月 13 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62782Dmitry DomanovJuly 13, 2009 11:47:25 UTC 2009 年 7 月 13 日 (月) 20 時 47 分 25 秒 (日本時間)

2×10182+9

c179

name 名前Serge Batalov
date 日付October 20, 2008 18:29:52 UTC 2008 年 10 月 21 日 (火) 3 時 29 分 52 秒 (日本時間)
composite number 合成数
86994345367551109177903436276642018268812527185732927359721618094823836450630709003914745541539799913005654632448890822096563723357981731187472814267072640278381905176163549369291<179>
prime factors 素因数
4792421492537717215974620350584419014570035427<46>
18152482101795525258673725492310366645321546282550812322674378256610903698310179167802038160476302016480186262806948758018518330672633<134>
factorization results 素因数分解の結果
SNFS difficulty: 182 digits.
Divisors found:
 r1=4792421492537717215974620350584419014570035427
 r2=18152482101795525258673725492310366645321546282550812322674378256610903698310179167802038160476302016480186262806948758018518330672633
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.314).
Factorization parameters were as follows:
n: 86994345367551109177903436276642018268812527185732927359721618094823836450630709003914745541539799913005654632448890822096563723357981731187472814267072640278381905176163549369291
m: 1000000000000000000000000000000000000
c5: 200
c0: 9
skew: 0.54
type: snfs
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 49/49
Sieved rational special-q in [7500000, 10300001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1054356 x 1054581
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,182,5,0,0,0,0,0,0,0,0,15000000,15000000,28,28,49,49,2.6,2.6,100000
total time: 220.00 hours.
software ソフトウェア
Msieve-1.38
execution environment 実行環境
Opteron-2.2GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2007 09:00:00 UTC 2007 年 11 月 13 日 (火) 18 時 0 分 0 秒 (日本時間)

2×10183+9

c157

name 名前Dmitry Domanov
date 日付October 16, 2009 11:24:40 UTC 2009 年 10 月 16 日 (金) 20 時 24 分 40 秒 (日本時間)
composite number 合成数
6856464482490018001444773324050028540933716416510729022191794797020840270795309636458372328059570593686611556858681441235580276482585545763581260344523863767<157>
prime factors 素因数
344618225745749586411461042704126893948843706169<48>
19895826657608469488864484374369820394043609778637709304640322693139917994922066124762553757203947117837606543<110>
factorization results 素因数分解の結果
Number: 209-3
N=6856464482490018001444773324050028540933716416510729022191794797020840270795309636458372328059570593686611556858681441235580276482585545763581260344523863767
  ( 157 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=344618225745749586411461042704126893948843706169 (pp48)
 r2=19895826657608469488864484374369820394043609778637709304640322693139917994922066124762553757203947117837606543 (pp110)
Version: Msieve-1.40
Total time: 134.56 hours.
Scaled time: 258.62 units (timescale=1.922).
Factorization parameters were as follows:
n: 6856464482490018001444773324050028540933716416510729022191794797020840270795309636458372328059570593686611556858681441235580276482585545763581260344523863767
m: 2000000000000000000000000000000000000
deg: 5
c5: 125
c0: 18
skew: 0.68
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4000000, 6100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1511833 x 1512065
Total sieving time: 131.06 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.98 hours.
Time per square root: 0.36 hours.
Prototype def-par.txt line would be:
snfs,183.000,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,53,53,2.5,2.5,100000
total time: 134.56 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 KamadaNovember 13, 2007 09:00:00 UTC 2007 年 11 月 13 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62696Dmitry DomanovJuly 13, 2009 11:47:08 UTC 2009 年 7 月 13 日 (月) 20 時 47 分 8 秒 (日本時間)

2×10185+9

c178

name 名前Dmitry Domanov
date 日付October 16, 2009 11:23:56 UTC 2009 年 10 月 16 日 (金) 20 時 23 分 56 秒 (日本時間)
composite number 合成数
2453376974657192395380246995934962890035878062208538048730420963056203100555740178987834549997731239642685761332372116590509143067439321761972654439436543214413776182761079269481<178>
prime factors 素因数
5227693762306268399155697518001267230014289<43>
469303881636488913910845986301497789032248197460711815322014514424627055233095974458951755240392494538034911487605992840453516750955929<135>
factorization results 素因数分解の結果
Number: 209-4
N=2453376974657192395380246995934962890035878062208538048730420963056203100555740178987834549997731239642685761332372116590509143067439321761972654439436543214413776182761079269481
  ( 178 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=5227693762306268399155697518001267230014289 (pp43)
 r2=469303881636488913910845986301497789032248197460711815322014514424627055233095974458951755240392494538034911487605992840453516750955929 (pp135)
Version: Msieve-1.40
Total time: 146.87 hours.
Scaled time: 287.43 units (timescale=1.957).
Factorization parameters were as follows:
n: 2453376974657192395380246995934962890035878062208538048730420963056203100555740178987834549997731239642685761332372116590509143067439321761972654439436543214413776182761079269481
m: 10000000000000000000000000000000000000
deg: 5
c5: 2
c0: 9
skew: 1.35
type: snfs
lss: 1
rlim: 8600000
alim: 8600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8600000/8600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4300000, 6600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1604184 x 1604416
Total sieving time: 143.24 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 3.30 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,185.000,5,0,0,0,0,0,0,0,0,8600000,8600000,28,28,54,54,2.5,2.5,100000
total time: 146.87 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2007 09:00:00 UTC 2007 年 11 月 13 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62972Dmitry DomanovJuly 13, 2009 11:46:45 UTC 2009 年 7 月 13 日 (月) 20 時 46 分 45 秒 (日本時間)

2×10186+9

c169

name 名前Dmitry Domanov
date 日付October 16, 2009 11:23:10 UTC 2009 年 10 月 16 日 (金) 20 時 23 分 10 秒 (日本時間)
composite number 合成数
2717687458851689874213860204251139251360870739438748418027921708986397314502883556437734594257957018606360831173069385218160418921517658081506947281834237272090046083873<169>
prime factors 素因数
357262445685375714446644002349895705129177657<45>
7606977704130228676753060368209396335418132864772317258963737679591760422481190900647054523251242045655517818742535330613289<124>
factorization results 素因数分解の結果
Number: 209-5
N=2717687458851689874213860204251139251360870739438748418027921708986397314502883556437734594257957018606360831173069385218160418921517658081506947281834237272090046083873
  ( 169 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=357262445685375714446644002349895705129177657 (pp45)
 r2=7606977704130228676753060368209396335418132864772317258963737679591760422481190900647054523251242045655517818742535330613289 (pp124)
Version: Msieve-1.40
Total time: 167.46 hours.
Scaled time: 310.65 units (timescale=1.855).
Factorization parameters were as follows:
n: 2717687458851689874213860204251139251360870739438748418027921708986397314502883556437734594257957018606360831173069385218160418921517658081506947281834237272090046083873
m: 10000000000000000000000000000000000000
deg: 5
c5: 20
c0: 9
skew: 0.85
type: snfs
lss: 1
rlim: 8900000
alim: 8900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8900000/8900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4450000, 7050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1562571 x 1562799
Total sieving time: 163.98 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 3.13 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,186.000,5,0,0,0,0,0,0,0,0,8900000,8900000,28,28,54,54,2.5,2.5,100000
total time: 167.46 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2007 09:00:00 UTC 2007 年 11 月 13 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62624Dmitry DomanovJuly 13, 2009 11:46:23 UTC 2009 年 7 月 13 日 (月) 20 時 46 分 23 秒 (日本時間)

2×10187+9

c118

name 名前Jo Yeong Uk
date 日付December 23, 2007 08:58:23 UTC 2007 年 12 月 23 日 (日) 17 時 58 分 23 秒 (日本時間)
composite number 合成数
1571365038080062045688276537552192603928436205005459284020038961717757775228192637376787221670115377779946873535111801<118>
prime factors 素因数
875378053458562890900671686629987206094799966703<48>
1795070177818256857278501924746661172178297270528928854534971402770967<70>
factorization results 素因数分解の結果
Number: 20009_187
N=1571365038080062045688276537552192603928436205005459284020038961717757775228192637376787221670115377779946873535111801
  ( 118 digits)
Divisors found:
 r1=875378053458562890900671686629987206094799966703 (pp48)
 r2=1795070177818256857278501924746661172178297270528928854534971402770967 (pp70)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 33.41 hours.
Scaled time: 71.01 units (timescale=2.125).
Factorization parameters were as follows:
name: 20009_187
n: 1571365038080062045688276537552192603928436205005459284020038961717757775228192637376787221670115377779946873535111801
skew: 86841.90
# norm 2.08e+16
c5: 18720
c4: 8005758744
c3: -417143604761414
c2: -54242084718394161427
c1: 1422581424753045528714126
c0: 43918391624543280113635161840
# alpha -6.35
Y1: 1252807503029
Y0: -38440854919115622102169
# Murphy_E 3.88e-10
# M 1529114244625491084620152441929551187310300433953474676067635486861415835076684651925957412555777624572292435341208442
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 100
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2250000, 3975001)
Primes: RFBsize:315948, AFBsize:316044, largePrimes:7583161 encountered
Relations: rels:7616240, finalFF:734012
Max relations in full relation-set: 28
Initial matrix: 632072 x 734011 with sparse part having weight 59496583.
Pruned matrix : 544994 x 548218 with weight 38635632.
Total sieving time: 31.36 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.72 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,75000
total time: 33.41 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: 8167512k/8912896k available (2115k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407681)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133)
Total of 4 processors activated (19246.11 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

2×10189+9

c148

name 名前Dmitry Domanov
date 日付July 10, 2009 22:17:31 UTC 2009 年 7 月 11 日 (土) 7 時 17 分 31 秒 (日本時間)
composite number 合成数
1809485533169290217409489091088041351674949891302338226833752465420880273918933289937827475608808336029137579448729102545064298026457656894397936661<148>
prime factors 素因数
231192776199581655479023863569<30>
7826739065615167308219291506990415678354983695078282263339825293001255086110103549843948541000279804194903492659561669<118>
factorization results 素因数分解の結果
С148=P30*P118
C148=231192776199581655479023863569<30>*7826739065615167308219291506990415678354983695078282263339825293001255086110103549843948541000279804194903492659561669<118>
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2007 09:00:00 UTC 2007 年 11 月 13 日 (火) 18 時 0 分 0 秒 (日本時間)

2×10190+9

c186

name 名前Wataru Sakai
date 日付October 30, 2008 12:45:58 UTC 2008 年 10 月 30 日 (木) 21 時 45 分 58 秒 (日本時間)
composite number 合成数
802021093154749969924209006696876127842162248867145205918915667482054778040662469422945823475157396639531619681597626017564261940089024341340177246661587199743353250190480009624253117857<186>
prime factors 素因数
3598257171209322387124035246065550912037121<43>
222891543042545298957116640948488621345212099759851442244790596744882493938600415976943482712976628381818095574564453234501990920912116689990817<144>
factorization results 素因数分解の結果
Number: 20009_190
N=802021093154749969924209006696876127842162248867145205918915667482054778040662469422945823475157396639531619681597626017564261940089024341340177246661587199743353250190480009624253117857
  ( 186 digits)
SNFS difficulty: 190 digits.
Divisors found:
 r1=3598257171209322387124035246065550912037121 (pp43)
 r2=222891543042545298957116640948488621345212099759851442244790596744882493938600415976943482712976628381818095574564453234501990920912116689990817 (pp144)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 868.84 hours.
Scaled time: 1750.70 units (timescale=2.015).
Factorization parameters were as follows:
n: 802021093154749969924209006696876127842162248867145205918915667482054778040662469422945823475157396639531619681597626017564261940089024341340177246661587199743353250190480009624253117857
m: 100000000000000000000000000000000000000
c5: 2
c0: 9
skew: 1.35
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, 15700001)
Primes: RFBsize:501962, AFBsize:502156, largePrimes:6947303 encountered
Relations: rels:7503487, finalFF:1184004
Max relations in full relation-set: 32
Initial matrix: 1004183 x 1184004 with sparse part having weight 117312846.
Pruned matrix : 866921 x 872005 with weight 96822749.
Total sieving time: 860.03 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 8.42 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 868.84 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2007 09:00:00 UTC 2007 年 11 月 13 日 (火) 18 時 0 分 0 秒 (日本時間)

2×10191+9

c192

name 名前Jo Yeong Uk
date 日付November 16, 2007 09:52:17 UTC 2007 年 11 月 16 日 (金) 18 時 52 分 17 秒 (日本時間)
composite number 合成数
200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009<192>
prime factors 素因数
139787422364207720750158040677389843257571643<45>
composite cofactor 合成数の残り
1430743886806296706788516093667434949145159858014350886258366962866810355411884866166709798529837275207436439253831768696683312353651987615427655563<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 200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009 (192 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3278687019
Step 1 took 30109ms
Step 2 took 13033ms
********** Factor found in step 2: 139787422364207720750158040677389843257571643
Found probable prime factor of 45 digits: 139787422364207720750158040677389843257571643
Composite cofactor 1430743886806296706788516093667434949145159858014350886258366962866810355411884866166709798529837275207436439253831768696683312353651987615427655563 has 148 digits
execution environment 実行環境
Core 2 Quad Q6600

c148

name 名前Dmitry Domanov
date 日付October 26, 2009 22:46:10 UTC 2009 年 10 月 27 日 (火) 7 時 46 分 10 秒 (日本時間)
composite number 合成数
1430743886806296706788516093667434949145159858014350886258366962866810355411884866166709798529837275207436439253831768696683312353651987615427655563<148>
prime factors 素因数
46096944919325148346223203940223926055682830814085225169569170904023<68>
31037716041925551555377656141714970107015368138481092969610634477807320110383981<80>
factorization results 素因数分解の結果
Number: 209-191
N=1430743886806296706788516093667434949145159858014350886258366962866810355411884866166709798529837275207436439253831768696683312353651987615427655563
  ( 148 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=46096944919325148346223203940223926055682830814085225169569170904023 (pp68)
 r2=31037716041925551555377656141714970107015368138481092969610634477807320110383981 (pp80)
Version: Msieve-1.40
Total time: 245.12 hours.
Scaled time: 458.63 units (timescale=1.871).
Factorization parameters were as follows:
n: 1430743886806296706788516093667434949145159858014350886258366962866810355411884866166709798529837275207436439253831768696683312353651987615427655563
m: 100000000000000000000000000000000000000
deg: 5
c5: 20
c0: 9
skew: 0.85
type: snfs
lss: 1
rlim: 10800000
alim: 10800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10800000/10800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5400000, 9300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1851073 x 1851298
Total sieving time: 240.25 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 4.45 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,191.000,5,0,0,0,0,0,0,0,0,10800000,10800000,28,28,54,54,2.5,2.5,100000
total time: 245.12 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 KamadaNovember 13, 2007 09:00:00 UTC 2007 年 11 月 13 日 (火) 18 時 0 分 0 秒 (日本時間)

2×10193+9

c131

name 名前Dmitry Domanov
date 日付July 22, 2009 13:55:56 UTC 2009 年 7 月 22 日 (水) 22 時 55 分 56 秒 (日本時間)
composite number 合成数
49777898511385657017959200641343160463020017114075893159149402568741104300447500577409539628482154712527537552631680837117009800329<131>
prime factors 素因数
13056246011809721884007205309537122134790655929126011321<56>
3812573573319637471194915345352510153300362083742249817651638622768023693649<76>
factorization results 素因数分解の結果
Wed Jul 22 14:19:03 2009  Msieve v. 1.42
Wed Jul 22 14:19:03 2009  random seeds: a5bf0718 1df83478
Wed Jul 22 14:19:03 2009  factoring 49777898511385657017959200641343160463020017114075893159149402568741104300447500577409539628482154712527537552631680837117009800329 (131 digits)
Wed Jul 22 14:19:04 2009  searching for 15-digit factors
Wed Jul 22 14:19:06 2009  commencing number field sieve (131-digit input)
Wed Jul 22 14:19:06 2009  R0: -17132883862694021714256889
Wed Jul 22 14:19:06 2009  R1:  279017036996591
Wed Jul 22 14:19:06 2009  A0:  2507317928392803584490096701088
Wed Jul 22 14:19:06 2009  A1:  179085986367648223641880884
Wed Jul 22 14:19:06 2009  A2:  1315353739759960626176
Wed Jul 22 14:19:06 2009  A3: -4013501703489901
Wed Jul 22 14:19:06 2009  A4: -16033052242
Wed Jul 22 14:19:06 2009  A5:  33720
Wed Jul 22 14:19:06 2009  skew 253679.99, size 1.756545e-012, alpha -6.062530, combined = 8.425983e-011
Wed Jul 22 14:19:06 2009  
Wed Jul 22 14:19:06 2009  commencing relation filtering
Wed Jul 22 14:19:06 2009  estimated available RAM is 3232.4 MB
Wed Jul 22 14:19:06 2009  commencing duplicate removal, pass 1
Wed Jul 22 14:22:45 2009  found 3646224 hash collisions in 24883919 relations
Wed Jul 22 14:23:33 2009  added 120024 free relations
Wed Jul 22 14:23:33 2009  commencing duplicate removal, pass 2
Wed Jul 22 14:24:31 2009  found 3092029 duplicates and 21911914 unique relations
Wed Jul 22 14:24:31 2009  memory use: 106.6 MB
Wed Jul 22 14:24:31 2009  reading ideals above 11993088
Wed Jul 22 14:24:35 2009  commencing singleton removal, initial pass
Wed Jul 22 14:28:26 2009  memory use: 298.4 MB
Wed Jul 22 14:28:26 2009  reading all ideals from disk
Wed Jul 22 14:28:26 2009  memory use: 370.8 MB
Wed Jul 22 14:28:26 2009  commencing in-memory singleton removal
Wed Jul 22 14:28:29 2009  begin with 21911914 relations and 19550344 unique ideals
Wed Jul 22 14:28:57 2009  reduce to 11773877 relations and 8107541 ideals in 16 passes
Wed Jul 22 14:28:57 2009  max relations containing the same ideal: 44
Wed Jul 22 14:28:59 2009  reading ideals above 720000
Wed Jul 22 14:28:59 2009  commencing singleton removal, initial pass
Wed Jul 22 14:31:26 2009  memory use: 149.2 MB
Wed Jul 22 14:31:26 2009  reading all ideals from disk
Wed Jul 22 14:31:26 2009  memory use: 354.5 MB
Wed Jul 22 14:31:26 2009  commencing in-memory singleton removal
Wed Jul 22 14:31:29 2009  begin with 11774472 relations and 9569468 unique ideals
Wed Jul 22 14:31:47 2009  reduce to 11771578 relations and 9563831 ideals in 7 passes
Wed Jul 22 14:31:47 2009  max relations containing the same ideal: 191
Wed Jul 22 14:31:59 2009  removing 2015830 relations and 1615830 ideals in 400000 cliques
Wed Jul 22 14:32:00 2009  commencing in-memory singleton removal
Wed Jul 22 14:32:03 2009  begin with 9755748 relations and 9563831 unique ideals
Wed Jul 22 14:32:20 2009  reduce to 9572181 relations and 7757315 ideals in 8 passes
Wed Jul 22 14:32:20 2009  max relations containing the same ideal: 154
Wed Jul 22 14:32:30 2009  removing 1521692 relations and 1121692 ideals in 400000 cliques
Wed Jul 22 14:32:30 2009  commencing in-memory singleton removal
Wed Jul 22 14:32:32 2009  begin with 8050489 relations and 7757315 unique ideals
Wed Jul 22 14:32:44 2009  reduce to 7907442 relations and 6487093 ideals in 7 passes
Wed Jul 22 14:32:44 2009  max relations containing the same ideal: 131
Wed Jul 22 14:32:53 2009  removing 1369689 relations and 969689 ideals in 400000 cliques
Wed Jul 22 14:32:53 2009  commencing in-memory singleton removal
Wed Jul 22 14:32:55 2009  begin with 6537753 relations and 6487093 unique ideals
Wed Jul 22 14:33:04 2009  reduce to 6397323 relations and 5370834 ideals in 7 passes
Wed Jul 22 14:33:04 2009  max relations containing the same ideal: 111
Wed Jul 22 14:33:11 2009  removing 1286700 relations and 886700 ideals in 400000 cliques
Wed Jul 22 14:33:12 2009  commencing in-memory singleton removal
Wed Jul 22 14:33:13 2009  begin with 5110623 relations and 5370834 unique ideals
Wed Jul 22 14:33:20 2009  reduce to 4952018 relations and 4316640 ideals in 7 passes
Wed Jul 22 14:33:20 2009  max relations containing the same ideal: 89
Wed Jul 22 14:33:25 2009  removing 1214883 relations and 814883 ideals in 400000 cliques
Wed Jul 22 14:33:26 2009  commencing in-memory singleton removal
Wed Jul 22 14:33:26 2009  begin with 3737135 relations and 4316640 unique ideals
Wed Jul 22 14:33:32 2009  reduce to 3544361 relations and 3295202 ideals in 8 passes
Wed Jul 22 14:33:32 2009  max relations containing the same ideal: 72
Wed Jul 22 14:33:36 2009  removing 466668 relations and 352093 ideals in 114575 cliques
Wed Jul 22 14:33:36 2009  commencing in-memory singleton removal
Wed Jul 22 14:33:37 2009  begin with 3077693 relations and 3295202 unique ideals
Wed Jul 22 14:33:40 2009  reduce to 3041291 relations and 2905657 ideals in 6 passes
Wed Jul 22 14:33:40 2009  max relations containing the same ideal: 68
Wed Jul 22 14:33:44 2009  relations with 0 large ideals: 471
Wed Jul 22 14:33:44 2009  relations with 1 large ideals: 2091
Wed Jul 22 14:33:44 2009  relations with 2 large ideals: 28692
Wed Jul 22 14:33:44 2009  relations with 3 large ideals: 163521
Wed Jul 22 14:33:44 2009  relations with 4 large ideals: 481707
Wed Jul 22 14:33:44 2009  relations with 5 large ideals: 813905
Wed Jul 22 14:33:44 2009  relations with 6 large ideals: 827216
Wed Jul 22 14:33:44 2009  relations with 7+ large ideals: 723688
Wed Jul 22 14:33:44 2009  commencing 2-way merge
Wed Jul 22 14:33:48 2009  reduce to 2028230 relation sets and 1892596 unique ideals
Wed Jul 22 14:33:48 2009  commencing full merge
Wed Jul 22 14:34:37 2009  memory use: 196.2 MB
Wed Jul 22 14:34:38 2009  found 1047881 cycles, need 1028796
Wed Jul 22 14:34:38 2009  weight of 1028796 cycles is about 72288141 (70.26/cycle)
Wed Jul 22 14:34:38 2009  distribution of cycle lengths:
Wed Jul 22 14:34:38 2009  1 relations: 83203
Wed Jul 22 14:34:38 2009  2 relations: 111470
Wed Jul 22 14:34:38 2009  3 relations: 123757
Wed Jul 22 14:34:38 2009  4 relations: 122068
Wed Jul 22 14:34:38 2009  5 relations: 113877
Wed Jul 22 14:34:38 2009  6 relations: 101487
Wed Jul 22 14:34:38 2009  7 relations: 86569
Wed Jul 22 14:34:38 2009  8 relations: 71513
Wed Jul 22 14:34:38 2009  9 relations: 57361
Wed Jul 22 14:34:38 2009  10+ relations: 157491
Wed Jul 22 14:34:38 2009  heaviest cycle: 18 relations
Wed Jul 22 14:34:39 2009  commencing cycle optimization
Wed Jul 22 14:34:41 2009  start with 5912490 relations
Wed Jul 22 14:34:56 2009  pruned 179772 relations
Wed Jul 22 14:34:56 2009  memory use: 149.2 MB
Wed Jul 22 14:34:56 2009  distribution of cycle lengths:
Wed Jul 22 14:34:56 2009  1 relations: 83203
Wed Jul 22 14:34:56 2009  2 relations: 114003
Wed Jul 22 14:34:56 2009  3 relations: 128763
Wed Jul 22 14:34:56 2009  4 relations: 125973
Wed Jul 22 14:34:56 2009  5 relations: 117959
Wed Jul 22 14:34:56 2009  6 relations: 104371
Wed Jul 22 14:34:56 2009  7 relations: 88089
Wed Jul 22 14:34:56 2009  8 relations: 71735
Wed Jul 22 14:34:56 2009  9 relations: 56564
Wed Jul 22 14:34:56 2009  10+ relations: 138136
Wed Jul 22 14:34:56 2009  heaviest cycle: 18 relations
Wed Jul 22 14:35:00 2009  RelProcTime: 954
Wed Jul 22 14:35:00 2009  
Wed Jul 22 14:35:00 2009  commencing linear algebra
Wed Jul 22 14:35:00 2009  read 1028796 cycles
Wed Jul 22 14:35:02 2009  cycles contain 2962793 unique relations
Wed Jul 22 14:36:51 2009  read 2962793 relations
Wed Jul 22 14:36:57 2009  using 20 quadratic characters above 268433820
Wed Jul 22 14:37:12 2009  building initial matrix
Wed Jul 22 14:37:56 2009  memory use: 347.5 MB
Wed Jul 22 14:37:58 2009  read 1028796 cycles
Wed Jul 22 14:38:49 2009  matrix is 1028619 x 1028796 (291.5 MB) with weight 97512281 (94.78/col)
Wed Jul 22 14:38:49 2009  sparse part has weight 69225192 (67.29/col)
Wed Jul 22 14:39:04 2009  filtering completed in 2 passes
Wed Jul 22 14:39:04 2009  matrix is 1028282 x 1028459 (291.5 MB) with weight 97497904 (94.80/col)
Wed Jul 22 14:39:04 2009  sparse part has weight 69220272 (67.30/col)
Wed Jul 22 14:39:09 2009  read 1028459 cycles
Wed Jul 22 14:42:03 2009  matrix is 1028282 x 1028459 (291.5 MB) with weight 97497904 (94.80/col)
Wed Jul 22 14:42:03 2009  sparse part has weight 69220272 (67.30/col)
Wed Jul 22 14:42:04 2009  saving the first 48 matrix rows for later
Wed Jul 22 14:42:04 2009  matrix is 1028234 x 1028459 (282.0 MB) with weight 77197089 (75.06/col)
Wed Jul 22 14:42:04 2009  sparse part has weight 67760950 (65.89/col)
Wed Jul 22 14:42:04 2009  matrix includes 64 packed rows
Wed Jul 22 14:42:04 2009  using block size 65536 for processor cache size 6144 kB
Wed Jul 22 14:42:12 2009  commencing Lanczos iteration (4 threads)
Wed Jul 22 14:42:12 2009  memory use: 312.2 MB
Wed Jul 22 16:23:16 2009  lanczos halted after 16260 iterations (dim = 1028232)
Wed Jul 22 16:23:19 2009  recovered 28 nontrivial dependencies
Wed Jul 22 16:23:20 2009  BLanczosTime: 6500
Wed Jul 22 16:23:20 2009  
Wed Jul 22 16:23:20 2009  commencing square root phase
Wed Jul 22 16:23:20 2009  reading relations for dependency 1
Wed Jul 22 16:23:20 2009  read 514616 cycles
Wed Jul 22 16:23:22 2009  cycles contain 1855521 unique relations
Wed Jul 22 16:25:56 2009  read 1855521 relations
Wed Jul 22 16:26:07 2009  multiplying 1482034 relations
Wed Jul 22 16:29:41 2009  multiply complete, coefficients have about 68.61 million bits
Wed Jul 22 16:29:44 2009  initial square root is modulo 84317
Wed Jul 22 16:37:05 2009  reading relations for dependency 2
Wed Jul 22 16:37:06 2009  read 513871 cycles
Wed Jul 22 16:37:07 2009  cycles contain 1853804 unique relations
Wed Jul 22 16:40:23 2009  read 1853804 relations
Wed Jul 22 16:40:36 2009  multiplying 1480638 relations
Wed Jul 22 16:44:27 2009  multiply complete, coefficients have about 68.54 million bits
Wed Jul 22 16:44:29 2009  initial square root is modulo 83207
Wed Jul 22 16:52:48 2009  sqrtTime: 1768
Wed Jul 22 16:52:48 2009  prp56 factor: 13056246011809721884007205309537122134790655929126011321
Wed Jul 22 16:52:48 2009  prp76 factor: 3812573573319637471194915345352510153300362083742249817651638622768023693649
Wed Jul 22 16:52:48 2009  elapsed time 02:33:45
software ソフトウェア
GGNFS/msieve 1.42

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2007 09:00:00 UTC 2007 年 11 月 13 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiApril 5, 2009 04:55:57 UTC 2009 年 4 月 5 日 (日) 13 時 55 分 57 秒 (日本時間)
4511e63962Wataru SakaiApril 27, 2009 13:33:39 UTC 2009 年 4 月 27 日 (月) 22 時 33 分 39 秒 (日本時間)
5043e662613277Wataru SakaiMay 30, 2009 06:28:51 UTC 2009 年 5 月 30 日 (土) 15 時 28 分 51 秒 (日本時間)
2984Wataru SakaiJune 23, 2009 11:04:13 UTC 2009 年 6 月 23 日 (火) 20 時 4 分 13 秒 (日本時間)
5511e73649 / 15269313Wataru SakaiJune 28, 2009 06:32:29 UTC 2009 年 6 月 28 日 (日) 15 時 32 分 29 秒 (日本時間)
336Wataru SakaiJuly 12, 2009 09:53:27 UTC 2009 年 7 月 12 日 (日) 18 時 53 分 27 秒 (日本時間)
3000Wataru SakaiJuly 14, 2009 08:05:44 UTC 2009 年 7 月 14 日 (火) 17 時 5 分 44 秒 (日本時間)

2×10194+9

c161

name 名前Dmitry Domanov
date 日付November 2, 2009 18:59:03 UTC 2009 年 11 月 3 日 (火) 3 時 59 分 3 秒 (日本時間)
composite number 合成数
61883199259747724562380534631415342215058277850786191528768621756932108340713067029550933363785618882216426350755693966004769148805814527697569597938687958692323<161>
prime factors 素因数
2643304814085557167142740766212794564787092479761<49>
23411298965592819498323902257006544390074859563323248495186898066821901827724109659825174326068861411467793246643<113>
factorization results 素因数分解の結果
N=61883199259747724562380534631415342215058277850786191528768621756932108340713067029550933363785618882216426350755693966004769148805814527697569597938687958692323
  ( 161 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=2643304814085557167142740766212794564787092479761 (pp49)
 r2=23411298965592819498323902257006544390074859563323248495186898066821901827724109659825174326068861411467793246643 (pp113)
Version: Msieve-1.40
Total time: 376.74 hours.
Scaled time: 352.62 units (timescale=0.936).
Factorization parameters were as follows:
n: 61883199259747724562380534631415342215058277850786191528768621756932108340713067029550933363785618882216426350755693966004769148805814527697569597938687958692323
m: 1000000000000000000000000000000000000000
deg: 5
c5: 1
c0: 45
skew: 2.14
type: snfs
lss: 1
rlim: 12400000
alim: 12400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12400000/12400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6200000, 6200000)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2243697 x 2243921
Total sieving time: 371.28 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 3.25 hours.
Time per square root: 1.85 hours.
Prototype def-par.txt line would be:
snfs,195.000,5,0,0,0,0,0,0,0,0,12400000,12400000,28,28,55,55,2.5,2.5,100000
total time: 376.74 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 KamadaNovember 13, 2007 09:00:00 UTC 2007 年 11 月 13 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62954Dmitry DomanovJuly 13, 2009 11:48:27 UTC 2009 年 7 月 13 日 (月) 20 時 48 分 27 秒 (日本時間)

2×10195+9

c175

name 名前Dmitry Domanov
date 日付July 12, 2009 12:47:34 UTC 2009 年 7 月 12 日 (日) 21 時 47 分 34 秒 (日本時間)
composite number 合成数
1361370345767302747941730736023841171113104083412070023836389932600540979161622707006251513939158068623112544322083644768466163659858596440903382444253811245649964698340597107<175>
prime factors 素因数
208929543907045046083316767984164355764039923<45>
composite cofactor 合成数の残り
6515930300278598936340223067286726695961677601878157142390817149184366337340674057734940096025365308355623172051113615953328308609<130>
factorization results 素因数分解の結果
C175=P45*C130
C175=208929543907045046083316767984164355764039923<45>6515930300278598936340223067286726695961677601878157142390817149184366337340674057734940096025365308355623172051113615953328308609<130>
B1: 3000000 sigma: 4163169800 (found in step 2)
software ソフトウェア
ECMNET

c130

name 名前Dmitry Domanov
date 日付October 18, 2009 08:25:11 UTC 2009 年 10 月 18 日 (日) 17 時 25 分 11 秒 (日本時間)
composite number 合成数
6515930300278598936340223067286726695961677601878157142390817149184366337340674057734940096025365308355623172051113615953328308609<130>
prime factors 素因数
22272790228074941650412202144206513847480230663694503321323<59>
292551145750263592463612261169824232947788536994442651259033585380015683<72>
factorization results 素因数分解の結果
N=6515930300278598936340223067286726695961677601878157142390817149184366337340674057734940096025365308355623172051113615953328308609
  ( 130 digits)
Divisors found:
 r1=22272790228074941650412202144206513847480230663694503321323 (pp59)
 r2=292551145750263592463612261169824232947788536994442651259033585380015683 (pp72)
Version: Msieve-1.40
Total time: 114.52 hours.
Scaled time: 216.90 units (timescale=1.894).
Factorization parameters were as follows:
# Murphy_E = 7.675034e-11, selected by Jeff Gilchrist
n: 6515930300278598936340223067286726695961677601878157142390817149184366337340674057734940096025365308355623172051113615953328308609
Y0: -11564669034526998847875422
Y1: 178145966422721
c0: 594526530049952023356115970449323
c1: 20042533683248693847400228035
c2: 3094152334001331708481
c3: -77649993471691511
c4: -777885780
c5: 31500
skew: 834742.04
type: gnfs
# selected mechanically
rlim: 9700000
alim: 9700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 9700000/9700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved algebraic special-q in [4850000, 9950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1429066 x 1429292
Total sieving time: 111.39 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 2.62 hours.
Time per square root: 0.31 hours.
Prototype def-par.txt line would be:
gnfs,129,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,9700000,9700000,28,28,53,53,2.5,2.5,100000
total time: 114.52 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 KamadaNovember 13, 2007 09:00:00 UTC 2007 年 11 月 13 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62576Dmitry DomanovJuly 13, 2009 11:49:26 UTC 2009 年 7 月 13 日 (月) 20 時 49 分 26 秒 (日本時間)

2×10196+9

c158

name 名前Dmitry Domanov
date 日付October 12, 2009 20:39:52 UTC 2009 年 10 月 13 日 (火) 5 時 39 分 52 秒 (日本時間)
composite number 合成数
71869724412243297840988422997381070964374068249985264879288574019393135254816261483599282410747796205385233261533163733245649343197786120740999682998238726307<158>
prime factors 素因数
193963468016641857772145026803551171115923<42>
53708156977454565812877224264090874901376708881<47>
6898994351244504504781634659534366111507825716105635993739478162742689<70>
factorization results 素因数分解の結果
C158=P40*C117
P40=193963468016641857772145026803551171115923

C117 cofactor done by gnfs:

Number: gnfs117
N=370532271603212170226704518044426969864269542358617420627750419622394581621041361936134785090231721575559523264121009
  ( 117 digits)
Divisors found:
 r1=53708156977454565812877224264090874901376708881 (pp47)
 r2=6898994351244504504781634659534366111507825716105635993739478162742689 (pp70)
Version: Msieve-1.40
Total time: 31.25 hours.
Scaled time: 58.50 units (timescale=1.872).
Factorization parameters were as follows:
name: gnfs117
n: 370532271603212170226704518044426969864269542358617420627750419622394581621041361936134785090231721575559523264121009
skew: 27131.14
# norm 5.13e+015
c5: 12840
c4: -5005419988
c3: 132835511575086
c2: 5619850704837977301
c1: 5643984592240713617760
c0: -148947437176552868590359
# alpha -4.75
Y1: 2796746329349
Y0: -31049545900540173580930
# Murphy_E 4.14e-010
# M 274660023481842263283986019784205274017274293306493453239176921056062773765217075988162189695088128426042817861964202
type: gnfs
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [1800000, 3300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 573142 x 573370
Polynomial selection time: 3.55 hours.
Total sieving time: 26.99 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.41 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
gnfs,116,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3600000,3600000,27,27,53,53,2.5,2.5,100000
total time: 31.25 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
ECMNET/GGNFS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2007 09:00:00 UTC 2007 年 11 月 13 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62597Dmitry DomanovJuly 13, 2009 11:49:52 UTC 2009 年 7 月 13 日 (月) 20 時 49 分 52 秒 (日本時間)

2×10197+9

c171

name 名前Dmitry Domanov
date 日付October 12, 2009 17:44:30 UTC 2009 年 10 月 13 日 (火) 2 時 44 分 30 秒 (日本時間)
composite number 合成数
441261547377101553943184718430593302353558286652164278897035962420490444410267655293976362774933715520569122637007623081491011664619748646207372810910607173269852690323747<171>
prime factors 素因数
467185812127459488296885761755886497555061<42>
944509734505196888324435883534798002347210233678036138305231061654282177613689218732584175782493585739887365690596605198501571127<129>
factorization results 素因数分解の結果
C171=P42*P129
C171=467185812127459488296885761755886497555061<42>*944509734505196888324435883534798002347210233678036138305231061654282177613689218732584175782493585739887365690596605198501571127<129>
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2007 09:00:00 UTC 2007 年 11 月 13 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62621Dmitry DomanovJuly 13, 2009 11:50:14 UTC 2009 年 7 月 13 日 (月) 20 時 50 分 14 秒 (日本時間)

2×10200+9

c178

name 名前Dmitry Domanov
date 日付October 12, 2009 07:54:44 UTC 2009 年 10 月 12 日 (月) 16 時 54 分 44 秒 (日本時間)
composite number 合成数
1026629727026961890303868374087446104834952277314238761282614528691262511181786542854140567223045121667140992883244084696426660753813393013695648869548121044500689194672420552177<178>
prime factors 素因数
1991350749169858454527790418207027923203<40>
composite cofactor 合成数の残り
515544399928007014946837975043806426611470201510365146903403741438897213435687943769990979066673545308632679985149733037848236754218334459<138>
factorization results 素因数分解の結果
C178=P40*C138
C178=1991350749169858454527790418207027923203<40>*515544399928007014946837975043806426611470201510365146903403741438897213435687943769990979066673545308632679985149733037848236754218334459<138>
software ソフトウェア
ECMNET

c138

name 名前Dmitry Domanov
date 日付October 31, 2009 17:38:49 UTC 2009 年 11 月 1 日 (日) 2 時 38 分 49 秒 (日本時間)
composite number 合成数
515544399928007014946837975043806426611470201510365146903403741438897213435687943769990979066673545308632679985149733037848236754218334459<138>
prime factors 素因数
26929252008257191020431416687258193026593735560915113070125073<62>
19144401031633854466395611803227504370594464318406318304124607255623786615883<77>
factorization results 素因数分解の結果
N=515544399928007014946837975043806426611470201510365146903403741438897213435687943769990979066673545308632679985149733037848236754218334459
  ( 138 digits)
Divisors found:
 r1=26929252008257191020431416687258193026593735560915113070125073 (pp62)
 r2=19144401031633854466395611803227504370594464318406318304124607255623786615883 (pp77)
Version: Msieve-1.40
Total time: 393.79 hours.
Scaled time: 728.52 units (timescale=1.850).
Factorization parameters were as follows:
name: 138
n: 515544399928007014946837975043806426611470201510365146903403741438897213435687943769990979066673545308632679985149733037848236754218334459
skew: 59396.92
# norm 6.88e+018
c5: 11646900
c4: -656423698046
c3: -91862773336305875
c2: -7446857964439791899471
c1: 144615163516304815228906947
c0: 872413083934548205729822156721
# alpha -5.87
Y1: 3733924185275977
Y0: -134651526480555153942964818
# Murphy_E 2.69e-011
# M 115470477286257391141601787983228737831086354664957529203110934439337617085329047796142281722271255945999979840269516821464770418268211574
type: gnfs
rlim: 11000000
alim: 11000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [5500000, 11700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1968879 x 1969105
Total sieving time: 386.79 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 5.16 hours.
Time per square root: 1.60 hours.
Prototype def-par.txt line would be:
gnfs,137,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,11000000,11000000,28,28,56,56,2.5,2.5,100000
total time: 393.79 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2007 09:00:00 UTC 2007 年 11 月 13 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e63031Dmitry DomanovJuly 13, 2009 11:50:35 UTC 2009 年 7 月 13 日 (月) 20 時 50 分 35 秒 (日本時間)

2×10201+9

c177

composite cofactor 合成数の残り
859978972356262326575143109092415823327896445487826359079134082026803069166209396409709825316228001209075903380398956094421376062845771995349823882007422857899264731778369517681<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 23, 2009 02:00:00 UTC 2009 年 12 月 23 日 (水) 11 時 0 分 0 秒 (日本時間)
403e60--
4511e62105 / 3423756Dmitry DomanovJanuary 7, 2010 21:42:18 UTC 2010 年 1 月 8 日 (金) 6 時 42 分 18 秒 (日本時間)
1349Youcef LemsaferApril 10, 2014 18:52:05 UTC 2014 年 4 月 11 日 (金) 3 時 52 分 5 秒 (日本時間)
5043e6300 / 7080Dmitry DomanovJune 17, 2011 22:36:15 UTC 2011 年 6 月 18 日 (土) 7 時 36 分 15 秒 (日本時間)

2×10202+9

c178

name 名前Serge Batalov
date 日付December 23, 2009 06:36:35 UTC 2009 年 12 月 23 日 (水) 15 時 36 分 35 秒 (日本時間)
composite number 合成数
1937208232769651627724284257496879267177570858537858227038449655010764636637867236485664601151726779482784382458547418427636784442736130949334250119962522383792548129618856399939<178>
prime factors 素因数
10154618909493427970970822721<29>
190771140703131610829744107752674358172987961363517807716872722844099059240912537213495175536293431424182489626904601379938938663722516836938490051459<150>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1119420523
Step 1 took 8429ms
Step 2 took 4324ms
********** Factor found in step 2: 10154618909493427970970822721
Found probable prime factor of 29 digits: 10154618909493427970970822721
Probable prime (finally!..) cofactor has 150 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 23, 2009 02:00:00 UTC 2009 年 12 月 23 日 (水) 11 時 0 分 0 秒 (日本時間)

2×10203+9

c151

composite cofactor 合成数の残り
2249143433717615973680187271680582634241963889193704248676746233956063594858872727704126337841516076997034355462934398973301442552576954327004609625643<151>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 23, 2009 02:00:00 UTC 2009 年 12 月 23 日 (水) 11 時 0 分 0 秒 (日本時間)
403e60--
4511e62026 / 3633677Dmitry DomanovJanuary 7, 2010 21:42:00 UTC 2010 年 1 月 8 日 (金) 6 時 42 分 0 秒 (日本時間)
1349Youcef LemsaferApril 12, 2014 10:18:18 UTC 2014 年 4 月 12 日 (土) 19 時 18 分 18 秒 (日本時間)
5043e6240 / 7098Dmitry DomanovJune 16, 2011 22:07:50 UTC 2011 年 6 月 17 日 (金) 7 時 7 分 50 秒 (日本時間)

2×10204+9

c162

composite cofactor 合成数の残り
353342852950061095816177555384723476770036701785272302451287832381906798048552618161780446340663869002574449490322842116643141437813351658958871027095308928464827<162>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 23, 2009 02:00:00 UTC 2009 年 12 月 23 日 (水) 11 時 0 分 0 秒 (日本時間)
403e60--
4511e62124 / 3703775Dmitry DomanovJanuary 7, 2010 21:41:41 UTC 2010 年 1 月 8 日 (金) 6 時 41 分 41 秒 (日本時間)
1349Youcef LemsaferApril 15, 2014 19:12:59 UTC 2014 年 4 月 16 日 (水) 4 時 12 分 59 秒 (日本時間)
5043e6220 / 7076Dmitry DomanovJune 16, 2011 22:05:11 UTC 2011 年 6 月 17 日 (金) 7 時 5 分 11 秒 (日本時間)

2×10207+9

c179

composite cofactor 合成数の残り
31052240714733944242073407237915057126777066988860795657462940704428812668538631758947223412797477548476841882397736773487349450715544832746745452288929763338528677665583938548761<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 23, 2009 02:00:00 UTC 2009 年 12 月 23 日 (水) 11 時 0 分 0 秒 (日本時間)
403e60--
4511e6808 / 3423Dmitry DomanovJanuary 5, 2010 19:17:21 UTC 2010 年 1 月 6 日 (水) 4 時 17 分 21 秒 (日本時間)
5043e6300 / 7371Dmitry DomanovJune 16, 2011 22:03:39 UTC 2011 年 6 月 17 日 (金) 7 時 3 分 39 秒 (日本時間)

2×10208+9

c189

composite cofactor 合成数の残り
183974113215323355953980633917145534474339781534847033938280941528519530121163177696261022505668633810797194416202809387493744943209075112183020569468783520802510080509844965021833092811331<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 23, 2009 02:00:00 UTC 2009 年 12 月 23 日 (水) 11 時 0 分 0 秒 (日本時間)
403e60--
4511e6785 / 3633Dmitry DomanovJanuary 5, 2010 19:17:44 UTC 2010 年 1 月 6 日 (水) 4 時 17 分 44 秒 (日本時間)
5043e6240 / 7377Dmitry DomanovJune 14, 2011 23:09:58 UTC 2011 年 6 月 15 日 (水) 8 時 9 分 58 秒 (日本時間)

2×10211+9

c201

composite cofactor 合成数の残り
110704862348151017627323613816464928720993517541719736709301183009576801859320705938532203524041822097045965899532950367599541966516434821599882423965822152366049112830329453910644914791728129924366889<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 23, 2009 02:00:00 UTC 2009 年 12 月 23 日 (水) 11 時 0 分 0 秒 (日本時間)
403e60--
4511e6778 / 3633Dmitry DomanovJanuary 5, 2010 19:18:09 UTC 2010 年 1 月 6 日 (水) 4 時 18 分 9 秒 (日本時間)
5043e6240 / 7378Dmitry DomanovJune 14, 2011 23:09:45 UTC 2011 年 6 月 15 日 (水) 8 時 9 分 45 秒 (日本時間)

2×10212+9

c179

name 名前Serge Batalov
date 日付December 23, 2009 07:53:33 UTC 2009 年 12 月 23 日 (水) 16 時 53 分 33 秒 (日本時間)
composite number 合成数
38025601593056948656903940123757004114641729395285370848872599879711501382123667846755385272435069531856860038410086593541314765186052299570452485490982343137766898379975339585089<179>
prime factors 素因数
2240943540763641964491268576729<31>
composite cofactor 合成数の残り
16968567436598174394441700560052214494982970741460114303653787912012932829033703060581255810085925490346029906192195604150265745128887761473827164841<149>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1282349060
Step 1 took 8312ms
Step 2 took 4321ms
********** Factor found in step 2: 2240943540763641964491268576729
Found probable prime factor of 31 digits: 2240943540763641964491268576729
Composite cofactor has 149 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 23, 2009 02:00:00 UTC 2009 年 12 月 23 日 (水) 11 時 0 分 0 秒 (日本時間)
403e60--
4511e6891 / 3352Dmitry DomanovJanuary 5, 2010 19:18:29 UTC 2010 年 1 月 6 日 (水) 4 時 18 分 29 秒 (日本時間)
5043e6320 / 7353Dmitry DomanovJune 13, 2011 14:51:29 UTC 2011 年 6 月 13 日 (月) 23 時 51 分 29 秒 (日本時間)

2×10213+9

c195

composite cofactor 合成数の残り
157069901999142650536574491045989025773984617819717483896249541875699110917110166712844510182420609122352870800054529098709462171025750419387242008532178107039389475346864920601033355560231087247<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 23, 2009 02:00:00 UTC 2009 年 12 月 23 日 (水) 11 時 0 分 0 秒 (日本時間)
403e60--
4511e6829 / 3493Dmitry DomanovJanuary 5, 2010 19:18:51 UTC 2010 年 1 月 6 日 (水) 4 時 18 分 51 秒 (日本時間)
5043e6280 / 7367Dmitry DomanovJune 13, 2011 14:35:40 UTC 2011 年 6 月 13 日 (月) 23 時 35 分 40 秒 (日本時間)

2×10214+9

c208

name 名前Serge Batalov
date 日付December 23, 2009 06:12:48 UTC 2009 年 12 月 23 日 (水) 15 時 12 分 48 秒 (日本時間)
composite number 合成数
2293457259531866384556134029183555590365140183561438681151989820719299293764238786054724871706867723361809280910557575008379719462014556802571974709129416238296630945687606581259082807453139794591087464547451<208>
prime factors 素因数
108073286126852074103935205123<30>
composite cofactor 合成数の残り
21221315106860899445933896803600324185433315879614766539100261924328043844792993941275529908813313478966866705232058311046676551390445994002560932483470016746642554197765912727337<179>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1593094740
Step 1 took 9704ms
********** Factor found in step 1: 108073286126852074103935205123
Found probable prime factor of 30 digits: 108073286126852074103935205123
Composite cofactor has 179 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 23, 2009 02:00:00 UTC 2009 年 12 月 23 日 (水) 11 時 0 分 0 秒 (日本時間)
403e60--
4511e6778 / 2440Dmitry DomanovJanuary 2, 2010 18:50:56 UTC 2010 年 1 月 3 日 (日) 3 時 50 分 56 秒 (日本時間)
5043e6580 / 7378280Dmitry DomanovJune 13, 2011 09:13:31 UTC 2011 年 6 月 13 日 (月) 18 時 13 分 31 秒 (日本時間)
300Dmitry DomanovJune 25, 2011 21:51:31 UTC 2011 年 6 月 26 日 (日) 6 時 51 分 31 秒 (日本時間)

2×10215+9

c207

name 名前Wataru Sakai
date 日付December 25, 2009 01:46:59 UTC 2009 年 12 月 25 日 (金) 10 時 46 分 59 秒 (日本時間)
composite number 合成数
914100508120592398739636391202310959432991864537471244511871951192005573124541929952560331764735337897549909442119386636182389761386905467258448632220211967933116508997507298189883091161218942241192814140729<207>
prime factors 素因数
10826531273093526781328991763529<32>
composite cofactor 合成数の残り
84431521515330295235327680873213130349430459871381881520420584924480627631102287648956120680337807274004266843502840550795215945616015601670178617482078519562517437776926226801<176>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3239976602
Step 1 took 82088ms
Step 2 took 23591ms
********** Factor found in step 2: 10826531273093526781328991763529
Found probable prime factor of 32 digits: 10826531273093526781328991763529
Composite cofactor 84431521515330295235327680873213130349430459871381881520420584924480627631102287648956120680337807274004266843502840550795215945616015601670178617482078519562517437776926226801 has 176 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
351e6118Makoto KamadaDecember 23, 2009 02:00:00 UTC 2009 年 12 月 23 日 (水) 11 時 0 分 0 秒 (日本時間)
403e60--
4511e6836 / 2651Dmitry DomanovJanuary 2, 2010 17:28:18 UTC 2010 年 1 月 3 日 (日) 2 時 28 分 18 秒 (日本時間)
5043e6520 / 7365220Dmitry DomanovJune 12, 2011 22:15:53 UTC 2011 年 6 月 13 日 (月) 7 時 15 分 53 秒 (日本時間)
300Dmitry DomanovJune 25, 2011 21:50:46 UTC 2011 年 6 月 26 日 (日) 6 時 50 分 46 秒 (日本時間)

2×10216+9

c209

name 名前Serge Batalov
date 日付December 23, 2009 06:44:45 UTC 2009 年 12 月 23 日 (水) 15 時 44 分 45 秒 (日本時間)
composite number 合成数
45326238205744543179848190190164645973864029852041787256179116420737452003196496970745516674129254068590791163368839113225690920880263648223246590169423359370915326892943255425159774423097271942902175122317953<209>
prime factors 素因数
17914893243474064093353886339<29>
composite cofactor 合成数の残り
2530086983479833387914671916161109783095426465559142662484628525176449853888833345433073938167065639727700285403571069487621676918739169062674186666507709307416989039849336443021227<181>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=3828974228
Step 1 took 12349ms
Step 2 took 6312ms
********** Factor found in step 2: 17914893243474064093353886339
Found probable prime factor of 29 digits: 17914893243474064093353886339
Composite cofactor has 181 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 23, 2009 02:00:00 UTC 2009 年 12 月 23 日 (水) 11 時 0 分 0 秒 (日本時間)
403e60--
4511e6801 / 2370Dmitry DomanovJanuary 2, 2010 17:28:50 UTC 2010 年 1 月 3 日 (日) 2 時 28 分 50 秒 (日本時間)
5043e6600 / 7373200Dmitry DomanovJune 12, 2011 22:15:16 UTC 2011 年 6 月 13 日 (月) 7 時 15 分 16 秒 (日本時間)
400Dmitry DomanovJune 25, 2011 21:50:03 UTC 2011 年 6 月 26 日 (日) 6 時 50 分 3 秒 (日本時間)

2×10217+9

c150

name 名前Wataru Sakai
date 日付December 24, 2009 05:07:55 UTC 2009 年 12 月 24 日 (木) 14 時 7 分 55 秒 (日本時間)
composite number 合成数
262307318822096113959637041052232426430676860823032877319591620110698389954569123961162175714805153025763917882698582271970991000677680994094785314127<150>
prime factors 素因数
102699093136418169307668176696792069<36>
composite cofactor 合成数の残り
2554134713474691857135037986459326191117445872689622770299892736169738699608043094133510769381527789483430383599683<115>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=34838519
Step 1 took 15671ms
Step 2 took 6740ms
********** Factor found in step 2: 102699093136418169307668176696792069
Found probable prime factor of 36 digits: 102699093136418169307668176696792069
Composite cofactor 2554134713474691857135037986459326191117445872689622770299892736169738699608043094133510769381527789483430383599683 has 115 digits
software ソフトウェア
GMP-ECM 6.2.1

c115

name 名前Dmitry Domanov
date 日付December 25, 2009 11:00:49 UTC 2009 年 12 月 25 日 (金) 20 時 0 分 49 秒 (日本時間)
composite number 合成数
2554134713474691857135037986459326191117445872689622770299892736169738699608043094133510769381527789483430383599683<115>
prime factors 素因数
467066681050485435798497334956180095244989456946079206083<57>
5468458395983536988518042915683384244729834087373257219201<58>
factorization results 素因数分解の結果
N=2554134713474691857135037986459326191117445872689622770299892736169738699608043094133510769381527789483430383599683
  ( 115 digits)
Divisors found:
 r1=467066681050485435798497334956180095244989456946079206083 (pp57)
 r2=5468458395983536988518042915683384244729834087373257219201 (pp58)
Version: Msieve-1.40
Total time: 22.32 hours.
Scaled time: 43.68 units (timescale=1.957).
Factorization parameters were as follows:
name: g115
n: 2554134713474691857135037986459326191117445872689622770299892736169738699608043094133510769381527789483430383599683
skew: 60651.13
# norm 2.66e+015
c5: 6900
c4: -682319433
c3: -117961116338270
c2: 2224219007371410074
c1: 119713655432085105195716
c0: -887417118007395530941272320
# alpha -5.12
Y1: 1998997353529
Y0: -12992127184589368498929
# Murphy_E 5.54e-010
# M 67608055054870856438233574117739099823167547769002258983372983365697756513358289959208203033225734867962755866536
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 455680 x 455911
Total sieving time: 21.73 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
gnfs,114,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 22.32 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 23, 2009 02:00:00 UTC 2009 年 12 月 23 日 (水) 11 時 0 分 0 秒 (日本時間)

2×10218+9

c186

composite cofactor 合成数の残り
206234389465895672046071357779268314060599740386453012821509990031498766039851108046202347906284545189922440144452819036397926469000789909130159163167875098896636309579796121485114585507<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 23, 2009 02:00:00 UTC 2009 年 12 月 23 日 (水) 11 時 0 分 0 秒 (日本時間)
403e60--
4511e6720 / 2370Dmitry DomanovJanuary 2, 2010 17:29:10 UTC 2010 年 1 月 3 日 (日) 2 時 29 分 10 秒 (日本時間)
5043e6600 / 7391300Dmitry DomanovJune 12, 2011 22:10:10 UTC 2011 年 6 月 13 日 (月) 7 時 10 分 10 秒 (日本時間)
300Dmitry DomanovJune 25, 2011 21:49:20 UTC 2011 年 6 月 26 日 (日) 6 時 49 分 20 秒 (日本時間)

2×10219+9

c189

name 名前Dmitry Domanov
date 日付December 30, 2009 21:05:02 UTC 2009 年 12 月 31 日 (木) 6 時 5 分 2 秒 (日本時間)
composite number 合成数
538836312121882379837866936457645675623173779640858498279627486497249964536717193130127442968710214985812206627277112899931049619501727957450609645722803128071298834647630101750213467021461<189>
prime factors 素因数
572377081058542253267987719218349283<36>
composite cofactor 合成数の残り
941400922492161506736873590724136704967512475515012897856930365790966821022456329494882892985882440834090623276166926455702080935029144203709201854166567<153>
factorization results 素因数分解の結果
Factor=572377081058542253267987719218349283  Method=ECM  B1=11000000  Sigma=2695859916
software ソフトウェア
ECMNET

c153

name 名前Dmitry Domanov
date 日付June 26, 2011 07:56:38 UTC 2011 年 6 月 26 日 (日) 16 時 56 分 38 秒 (日本時間)
composite number 合成数
941400922492161506736873590724136704967512475515012897856930365790966821022456329494882892985882440834090623276166926455702080935029144203709201854166567<153>
prime factors 素因数
1642704150511781548855913666836766850941231383<46>
573080016994459853298036411999573951761221685161699272051987725626841188610357687227411391981098656889953649<108>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=383008260
Step 1 took 236348ms
Step 2 took 71900ms
********** Factor found in step 2: 1642704150511781548855913666836766850941231383
Found probable prime factor of 46 digits: 1642704150511781548855913666836766850941231383
Probable prime cofactor 573080016994459853298036411999573951761221685161699272051987725626841188610357687227411391981098656889953649 has 108 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 23, 2009 02:00:00 UTC 2009 年 12 月 23 日 (水) 11 時 0 分 0 秒 (日本時間)
403e60--
4511e6700 / 1949Dmitry DomanovDecember 30, 2009 21:04:45 UTC 2009 年 12 月 31 日 (木) 6 時 4 分 45 秒 (日本時間)
5043e6720 / 7396240Dmitry DomanovJune 11, 2011 15:56:39 UTC 2011 年 6 月 12 日 (日) 0 時 56 分 39 秒 (日本時間)
480Dmitry DomanovJune 25, 2011 21:48:42 UTC 2011 年 6 月 26 日 (日) 6 時 48 分 42 秒 (日本時間)

2×10221+9

c222

name 名前Dmitry Domanov
date 日付February 24, 2011 22:30:09 UTC 2011 年 2 月 25 日 (金) 7 時 30 分 9 秒 (日本時間)
composite number 合成数
200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009<222>
prime factors 素因数
40311276844071860136985326683517016181703190200370796622762464688777209496811195145374686624161389<98>
4961390847866725880235542731512971477275683085518141508850326126190658290515042612026747411810967819235266264988830617597581<124>
factorization results 素因数分解の結果
Sieving took ~190 cpu-days on Xeon E5620 with siever 14e.
Postprocessing log below.

Wed Feb 16 04:34:10 2011  Msieve v. 1.47
Wed Feb 16 04:34:10 2011  random seeds: a9123477 d4b890e8
Wed Feb 16 04:34:10 2011  factoring 200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009 (222 digits)
Wed Feb 16 04:34:11 2011  searching for 15-digit factors
Wed Feb 16 04:34:12 2011  commencing number field sieve (222-digit input)
Wed Feb 16 04:34:12 2011  R0: -2000000000000000000000000000000000000
Wed Feb 16 04:34:12 2011  R1:  1
Wed Feb 16 04:34:12 2011  A0:  9
Wed Feb 16 04:34:12 2011  A1:  0
Wed Feb 16 04:34:12 2011  A2:  0
Wed Feb 16 04:34:12 2011  A3:  0
Wed Feb 16 04:34:12 2011  A4:  0
Wed Feb 16 04:34:12 2011  A5:  0
Wed Feb 16 04:34:12 2011  A6:  3125
Wed Feb 16 04:34:12 2011  skew 0.38, size 3.489e-11, alpha 0.475, combined = 1.605e-12 rroots = 0
Wed Feb 16 04:34:12 2011
Wed Feb 16 04:34:12 2011  commencing relation filtering
Wed Feb 16 04:34:12 2011  estimated available RAM is 24048.2 MB
Wed Feb 16 04:34:12 2011  commencing duplicate removal, pass 1
Wed Feb 16 04:38:27 2011  error -9 reading relation 22040410
Wed Feb 16 04:38:42 2011  error -9 reading relation 23321204
Wed Feb 16 04:44:27 2011  error -11 reading relation 49746972
Wed Feb 16 04:44:28 2011  error -11 reading relation 49768017
Wed Feb 16 04:44:28 2011  error -9 reading relation 49815336
Wed Feb 16 04:44:29 2011  error -11 reading relation 49862403
Wed Feb 16 04:44:29 2011  error -11 reading relation 49909300
Wed Feb 16 04:44:30 2011  error -15 reading relation 49955870
Wed Feb 16 04:44:30 2011  error -11 reading relation 50002262
Wed Feb 16 04:44:31 2011  error -9 reading relation 50049468
Wed Feb 16 04:44:32 2011  error -11 reading relation 50096193
Wed Feb 16 04:44:32 2011  error -1 reading relation 50142588
Wed Feb 16 04:44:33 2011  error -11 reading relation 50189667
Wed Feb 16 04:44:35 2011  error -11 reading relation 50281906
Wed Feb 16 04:44:36 2011  error -11 reading relation 50328519
Wed Feb 16 04:44:36 2011  error -15 reading relation 50375034
Wed Feb 16 04:44:37 2011  error -11 reading relation 50422110
Wed Feb 16 04:44:38 2011  error -11 reading relation 50469455
Wed Feb 16 04:44:38 2011  error -11 reading relation 50490500
Wed Feb 16 04:44:39 2011  error -9 reading relation 50537819
Wed Feb 16 04:44:40 2011  error -11 reading relation 50584886
Wed Feb 16 04:44:41 2011  error -11 reading relation 50631783
Wed Feb 16 04:44:41 2011  error -15 reading relation 50678353
Wed Feb 16 04:44:42 2011  error -11 reading relation 50724745
Wed Feb 16 04:44:43 2011  error -9 reading relation 50771951
Wed Feb 16 04:44:44 2011  error -11 reading relation 50818676
Wed Feb 16 04:44:45 2011  error -1 reading relation 50865071
Wed Feb 16 04:44:45 2011  error -11 reading relation 50912150
Wed Feb 16 04:44:47 2011  error -11 reading relation 51004389
Wed Feb 16 04:44:48 2011  error -11 reading relation 51051002
Wed Feb 16 04:44:48 2011  error -15 reading relation 51097517
Wed Feb 16 04:44:49 2011  error -9 reading relation 51144593
Wed Feb 16 04:44:51 2011  error -11 reading relation 51226610
Wed Feb 16 04:45:19 2011  error -11 reading relation 53104937
Wed Feb 16 04:45:19 2011  error -11 reading relation 53125982
Wed Feb 16 04:45:19 2011  error -9 reading relation 53173301
Wed Feb 16 04:45:20 2011  error -11 reading relation 53220368
Wed Feb 16 04:45:20 2011  error -11 reading relation 53267265
Wed Feb 16 04:45:21 2011  error -15 reading relation 53313835
Wed Feb 16 04:45:21 2011  error -11 reading relation 53360227
Wed Feb 16 04:45:22 2011  error -9 reading relation 53407433
Wed Feb 16 04:45:22 2011  error -11 reading relation 53454158
Wed Feb 16 04:45:23 2011  error -1 reading relation 53500553
Wed Feb 16 04:45:23 2011  error -11 reading relation 53547632
Wed Feb 16 04:45:24 2011  error -11 reading relation 53639871
Wed Feb 16 04:45:25 2011  error -11 reading relation 53686484
Wed Feb 16 04:45:25 2011  error -15 reading relation 53732999
Wed Feb 16 04:45:26 2011  error -9 reading relation 53780075
Wed Feb 16 04:45:26 2011  error -11 reading relation 53862092
Wed Feb 16 04:46:03 2011  skipped 25 relations with b > 2^32
Wed Feb 16 04:46:03 2011  found 11948901 hash collisions in 56641279 relations
Wed Feb 16 04:46:29 2011  added 1 free relations
Wed Feb 16 04:46:29 2011  commencing duplicate removal, pass 2
Wed Feb 16 04:50:32 2011  found 13517074 duplicates and 43124206 unique relations
Wed Feb 16 04:50:32 2011  memory use: 330.4 MB
Wed Feb 16 04:50:32 2011  reading ideals above 720000
Wed Feb 16 04:50:32 2011  commencing singleton removal, initial pass
Wed Feb 16 05:03:15 2011  memory use: 1378.0 MB
Wed Feb 16 05:03:15 2011  reading all ideals from disk
Wed Feb 16 05:03:16 2011  memory use: 1578.6 MB
Wed Feb 16 05:03:23 2011  keeping 45475277 ideals with weight <= 200, target excess is 227093
Wed Feb 16 05:03:30 2011  commencing in-memory singleton removal
Wed Feb 16 05:03:36 2011  begin with 43124206 relations and 45475277 unique ideals
Wed Feb 16 05:04:41 2011  reduce to 22068673 relations and 21560749 ideals in 19 passes
Wed Feb 16 05:04:41 2011  max relations containing the same ideal: 135
Wed Feb 16 05:04:57 2011  removing 1384859 relations and 1262611 ideals in 122248 cliques
Wed Feb 16 05:04:58 2011  commencing in-memory singleton removal
Wed Feb 16 05:05:01 2011  begin with 20683814 relations and 21560749 unique ideals
Wed Feb 16 05:05:28 2011  reduce to 20612225 relations and 20225951 ideals in 10 passes
Wed Feb 16 05:05:28 2011  max relations containing the same ideal: 132
Wed Feb 16 05:05:43 2011  removing 990284 relations and 868036 ideals in 122248 cliques
Wed Feb 16 05:05:44 2011  commencing in-memory singleton removal
Wed Feb 16 05:05:46 2011  begin with 19621941 relations and 20225951 unique ideals
Wed Feb 16 05:06:11 2011  reduce to 19584604 relations and 19320322 ideals in 8 passes
Wed Feb 16 05:06:11 2011  max relations containing the same ideal: 127
Wed Feb 16 05:06:35 2011  relations with 0 large ideals: 8014
Wed Feb 16 05:06:35 2011  relations with 1 large ideals: 2627
Wed Feb 16 05:06:35 2011  relations with 2 large ideals: 20454
Wed Feb 16 05:06:35 2011  relations with 3 large ideals: 176868
Wed Feb 16 05:06:35 2011  relations with 4 large ideals: 859912
Wed Feb 16 05:06:35 2011  relations with 5 large ideals: 2511781
Wed Feb 16 05:06:35 2011  relations with 6 large ideals: 4575189
Wed Feb 16 05:06:35 2011  relations with 7+ large ideals: 11429759
Wed Feb 16 05:06:35 2011  commencing 2-way merge
Wed Feb 16 05:06:57 2011  reduce to 12472902 relation sets and 12208620 unique ideals
Wed Feb 16 05:06:57 2011  commencing full merge
Wed Feb 16 05:12:13 2011  memory use: 1512.8 MB
Wed Feb 16 05:12:15 2011  found 6598197 cycles, need 6568820
Wed Feb 16 05:12:18 2011  weight of 6568820 cycles is about 460096276 (70.04/cycle)
Wed Feb 16 05:12:18 2011  distribution of cycle lengths:
Wed Feb 16 05:12:18 2011  1 relations: 909626
Wed Feb 16 05:12:18 2011  2 relations: 931666
Wed Feb 16 05:12:18 2011  3 relations: 875093
Wed Feb 16 05:12:18 2011  4 relations: 732257
Wed Feb 16 05:12:18 2011  5 relations: 608169
Wed Feb 16 05:12:18 2011  6 relations: 492633
Wed Feb 16 05:12:18 2011  7 relations: 402929
Wed Feb 16 05:12:18 2011  8 relations: 325869
Wed Feb 16 05:12:18 2011  9 relations: 262220
Wed Feb 16 05:12:18 2011  10+ relations: 1028358
Wed Feb 16 05:12:18 2011  heaviest cycle: 27 relations
Wed Feb 16 05:12:20 2011  commencing cycle optimization
Wed Feb 16 05:12:30 2011  start with 35768835 relations
Wed Feb 16 05:13:40 2011  pruned 850802 relations
Wed Feb 16 05:13:41 2011  memory use: 1168.2 MB
Wed Feb 16 05:13:41 2011  distribution of cycle lengths:
Wed Feb 16 05:13:41 2011  1 relations: 909626
Wed Feb 16 05:13:41 2011  2 relations: 950851
Wed Feb 16 05:13:41 2011  3 relations: 905585
Wed Feb 16 05:13:41 2011  4 relations: 745979
Wed Feb 16 05:13:41 2011  5 relations: 618182
Wed Feb 16 05:13:41 2011  6 relations: 494449
Wed Feb 16 05:13:41 2011  7 relations: 401975
Wed Feb 16 05:13:41 2011  8 relations: 321413
Wed Feb 16 05:13:41 2011  9 relations: 256521
Wed Feb 16 05:13:41 2011  10+ relations: 964239
Wed Feb 16 05:13:41 2011  heaviest cycle: 26 relations
Wed Feb 16 05:13:52 2011  RelProcTime: 2380
Wed Feb 16 05:13:55 2011  elapsed time 00:39:45
Wed Feb 16 05:13:55 2011
Wed Feb 16 05:13:55 2011
Wed Feb 16 05:13:55 2011  Msieve v. 1.47
Wed Feb 16 05:13:55 2011  random seeds: 2544120b f208a748
Wed Feb 16 05:13:55 2011  factoring 200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009 (222 digits)
Wed Feb 16 05:13:58 2011  searching for 15-digit factors
Wed Feb 16 05:13:59 2011  commencing number field sieve (222-digit input)
Wed Feb 16 05:13:59 2011  R0: -2000000000000000000000000000000000000
Wed Feb 16 05:13:59 2011  R1:  1
Wed Feb 16 05:13:59 2011  A0:  9
Wed Feb 16 05:13:59 2011  A1:  0
Wed Feb 16 05:13:59 2011  A2:  0
Wed Feb 16 05:13:59 2011  A3:  0
Wed Feb 16 05:13:59 2011  A4:  0
Wed Feb 16 05:13:59 2011  A5:  0
Wed Feb 16 05:13:59 2011  A6:  3125
Wed Feb 16 05:13:59 2011  skew 0.38, size 3.489e-11, alpha 0.475, combined = 1.605e-12 rroots = 0
Wed Feb 16 05:13:59 2011
Wed Feb 16 05:13:59 2011  commencing linear algebra
Wed Feb 16 05:14:00 2011  read 6568820 cycles
Wed Feb 16 05:14:15 2011  cycles contain 19321400 unique relations
Wed Feb 16 05:21:10 2011  read 19321400 relations
Wed Feb 16 05:21:51 2011  using 20 quadratic characters above 536870870
Wed Feb 16 05:23:36 2011  building initial matrix
Wed Feb 16 05:28:24 2011  memory use: 2475.7 MB
Wed Feb 16 05:28:28 2011  read 6568820 cycles
Wed Feb 16 05:28:30 2011  matrix is 6568640 x 6568820 (1973.6 MB) with weight 578052989 (88.00/col)
Wed Feb 16 05:28:30 2011  sparse part has weight 445118291 (67.76/col)
Wed Feb 16 05:30:10 2011  filtering completed in 2 passes
Wed Feb 16 05:30:12 2011  matrix is 6564487 x 6564667 (1973.3 MB) with weight 577930391 (88.04/col)
Wed Feb 16 05:30:12 2011  sparse part has weight 445081525 (67.80/col)
Wed Feb 16 05:30:30 2011  matrix starts at (0, 0)
Wed Feb 16 05:30:31 2011  matrix is 6564487 x 6564667 (1973.3 MB) with weight 577930391 (88.04/col)
Wed Feb 16 05:30:31 2011  sparse part has weight 445081525 (67.80/col)
Wed Feb 16 05:30:31 2011  saving the first 48 matrix rows for later
Wed Feb 16 05:30:33 2011  matrix includes 64 packed rows
Wed Feb 16 05:30:34 2011  matrix is 6564439 x 6564667 (1886.6 MB) with weight 465361815 (70.89/col)
Wed Feb 16 05:30:34 2011  sparse part has weight 428908568 (65.34/col)
Wed Feb 16 05:30:34 2011  using block size 10922 for processor cache size 256 kB
Wed Feb 16 05:31:25 2011  commencing Lanczos iteration (16 threads)
Wed Feb 16 05:31:25 2011  memory use: 2309.9 MB
Wed Feb 16 05:32:12 2011  linear algebra at 0.0%, ETA 54h 0m
Wed Feb 16 05:32:27 2011  checkpointing every 130000 dimensions

Thu Feb 17 20:02:20 2011  Msieve v. 1.47
Thu Feb 17 20:02:20 2011  random seeds: 7c39052c fb210cc1
Thu Feb 17 20:02:20 2011  factoring 200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009 (222 digits)
Thu Feb 17 20:02:23 2011  searching for 15-digit factors
Thu Feb 17 20:02:23 2011  commencing number field sieve (222-digit input)
Thu Feb 17 20:02:23 2011  R0: -2000000000000000000000000000000000000
Thu Feb 17 20:02:23 2011  R1:  1
Thu Feb 17 20:02:23 2011  A0:  9
Thu Feb 17 20:02:23 2011  A1:  0
Thu Feb 17 20:02:23 2011  A2:  0
Thu Feb 17 20:02:23 2011  A3:  0
Thu Feb 17 20:02:23 2011  A4:  0
Thu Feb 17 20:02:23 2011  A5:  0
Thu Feb 17 20:02:23 2011  A6:  3125
Thu Feb 17 20:02:23 2011  skew 0.38, size 3.489e-11, alpha 0.475, combined = 1.605e-12 rroots = 0
Thu Feb 17 20:02:23 2011
Thu Feb 17 20:02:23 2011  commencing linear algebra
Thu Feb 17 20:02:26 2011  matrix starts at (0, 0)
Thu Feb 17 20:02:27 2011  matrix is 6564487 x 6564667 (1973.3 MB) with weight 577930391 (88.04/col)
Thu Feb 17 20:02:27 2011  sparse part has weight 445081525 (67.80/col)
Thu Feb 17 20:02:27 2011  saving the first 48 matrix rows for later
Thu Feb 17 20:02:29 2011  matrix includes 64 packed rows
Thu Feb 17 20:02:31 2011  matrix is 6564439 x 6564667 (1886.6 MB) with weight 465361815 (70.89/col)
Thu Feb 17 20:02:31 2011  sparse part has weight 428908568 (65.34/col)
Thu Feb 17 20:02:31 2011  using block size 10922 for processor cache size 256 kB
Thu Feb 17 20:03:21 2011  commencing Lanczos iteration (8 threads)
Thu Feb 17 20:03:21 2011  memory use: 1909.0 MB
Thu Feb 17 20:03:22 2011  restarting at iteration 10280 (dim = 650020)
Thu Feb 17 20:04:03 2011  linear algebra at 9.9%, ETA 44h14m
Thu Feb 17 20:04:16 2011  checkpointing every 140000 dimensions
Sat Feb 19 17:02:17 2011  lanczos halted after 103810 iterations (dim = 6564439)
Sat Feb 19 17:02:26 2011  recovered 38 nontrivial dependencies
Sat Feb 19 17:02:26 2011  BLanczosTime: 162003
Sat Feb 19 17:02:26 2011  elapsed time 45:00:06

Msieve v. 1.48
Mon Feb 21 19:03:01 2011
random seeds: 8759c156 9f176e76
factoring 200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009 (222 digits)
searching for 15-digit factors
commencing number field sieve (222-digit input)
R0: -2000000000000000000000000000000000000
R1:  1
A0:  9
A1:  0
A2:  0
A3:  0
A4:  0
A5:  0
A6:  3125
skew 0.38, size 3.489e-11, alpha 0.475, combined = 1.605e-12 rroots = 0

commencing square root phase
reading relations for dependency 1
read 3281125 cycles
cycles contain 9660678 unique relations
read 9660678 relations
multiplying 9660678 relations
multiply complete, coefficients have about 340.96 million bits
initial square root is modulo 1312093
sqrtTime: 10504
prp98 factor: 40311276844071860136985326683517016181703190200370796622762464688777209496811195145374686624161389
prp124 factor: 4961390847866725880235542731512971477275683085518141508850326126190658290515042612026747411810967819235266264988830617597581
elapsed time 02:55:12
software ソフトウェア
GGNFS/Msieve v1.48

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 23, 2009 02:00:00 UTC 2009 年 12 月 23 日 (水) 11 時 0 分 0 秒 (日本時間)
403e60--
4511e65850772Dmitry DomanovDecember 23, 2009 22:07:33 UTC 2009 年 12 月 24 日 (木) 7 時 7 分 33 秒 (日本時間)
690Dmitry DomanovMarch 14, 2010 11:29:19 UTC 2010 年 3 月 14 日 (日) 20 時 29 分 19 秒 (日本時間)
1000Dmitry DomanovMay 19, 2010 20:40:48 UTC 2010 年 5 月 20 日 (木) 5 時 40 分 48 秒 (日本時間)
700Dmitry DomanovMay 25, 2010 22:42:31 UTC 2010 年 5 月 26 日 (水) 7 時 42 分 31 秒 (日本時間)
2688Dmitry DomanovJune 2, 2010 05:12:35 UTC 2010 年 6 月 2 日 (水) 14 時 12 分 35 秒 (日本時間)

2×10222+9

c190

composite cofactor 合成数の残り
1342578062122673747770014600712133103875189037303452883716238690939323754583833519778866605008465716298539452107961714978500492348762217378532317304361122698459120893260589929230012775984041<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 23, 2009 02:00:00 UTC 2009 年 12 月 23 日 (水) 11 時 0 分 0 秒 (日本時間)
403e60--
4511e6852 / 2230Dmitry DomanovJanuary 2, 2010 17:29:41 UTC 2010 年 1 月 3 日 (日) 2 時 29 分 41 秒 (日本時間)
5043e6640 / 7362280Dmitry DomanovJune 11, 2011 15:55:43 UTC 2011 年 6 月 12 日 (日) 0 時 55 分 43 秒 (日本時間)
360Dmitry DomanovJune 25, 2011 21:47:57 UTC 2011 年 6 月 26 日 (日) 6 時 47 分 57 秒 (日本時間)

2×10224+9

c215

name 名前matsui
date 日付January 5, 2012 07:26:11 UTC 2012 年 1 月 5 日 (木) 16 時 26 分 11 秒 (日本時間)
composite number 合成数
11145263024820061688637414594265298430480878523249247677066651172715194120913788192202612905349387118277678873298866301677361644997529803747494195259050940308084213754310107053247757360915392947357346831859650251873<215>
prime factors 素因数
226272536448892100510091550585495000412230321909201231635885883040774123129704603691810516348819626342987<105>
49255924734539883231709715107733854974482938359302841147537356871871537226255033892628700385199817231811995779<110>
factorization results 素因数分解の結果
N=11145263024820061688637414594265298430480878523249247677066651172715194120913788192202612905349387118277678873298866301677361644997529803747494195259050940308084213754310107053247757360915392947357346831859650251873
  ( 215 digits)
SNFS difficulty: 224 digits.
Divisors found:
 r1=226272536448892100510091550585495000412230321909201231635885883040774123129704603691810516348819626342987 (pp105)
 r2=49255924734539883231709715107733854974482938359302841147537356871871537226255033892628700385199817231811995779 (pp110)
Version: Msieve v. 1.50
Total time:
Scaled time: 440.26 units (timescale=0.692).
Factorization parameters were as follows:
n: 11145263024820061688637414594265298430480878523249247677066651172715194120913788192202612905349387118277678873298866301677361644997529803747494195259050940308084213754310107053247757360915392947357346831859650251873
m: 10000000000000000000000000000000000000
deg: 6
c6: 200
c0: 9
skew: 0.60
type: snfs
lss: 1
rlim: 38000000
alim: 38000000
lpbr: 29
lpba: 29
mfbr: 59
mfba: 59
rlambda: 2.6
alambda: 2.6
qintsize: 1600000
Factor base limits: 38000000/38000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 59/59
Sieved rational special-q in [19000000, 67000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 6533209 x 6533432
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,224.000,6,0,0,0,0,0,0,0,0,38000000,38000000,29,29,59,59,2.6,2.6,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 23, 2009 02:00:00 UTC 2009 年 12 月 23 日 (水) 11 時 0 分 0 秒 (日本時間)
403e60--
4511e64524724Dmitry DomanovJanuary 2, 2010 17:30:32 UTC 2010 年 1 月 3 日 (日) 2 時 30 分 32 秒 (日本時間)
3800Wataru SakaiJune 2, 2011 04:43:45 UTC 2011 年 6 月 2 日 (木) 13 時 43 分 45 秒 (日本時間)
5043e6300Dmitry DomanovJune 11, 2011 09:11:28 UTC 2011 年 6 月 11 日 (土) 18 時 11 分 28 秒 (日本時間)
5511e72600 / 17379yoyo@homeSeptember 14, 2011 12:00:06 UTC 2011 年 9 月 14 日 (水) 21 時 0 分 6 秒 (日本時間)

2×10225+9

c208

name 名前Dmitry Domanov
date 日付December 30, 2009 21:04:03 UTC 2009 年 12 月 31 日 (木) 6 時 4 分 3 秒 (日本時間)
composite number 合成数
1052620192813279129951722032357405365824032886463931827830714425688861194242018336919767928285025953078020654060491832918468498914381897026350319096513692502631039735632659289450662968477575677395106035807701<208>
prime factors 素因数
1017035730957640742390794952714265163301<40>
composite cofactor 合成数の残り
1034988408737746177159615870724745637279849949389759175786098372389926567959412739961733978307579543063325365451025619017268250126951537965277683820030848996680656124401<169>
factorization results 素因数分解の結果
Factor=1017035730957640742390794952714265163301  Method=ECM  B1=11000000  Sigma=1068312719
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 23, 2009 02:00:00 UTC 2009 年 12 月 23 日 (水) 11 時 0 分 0 秒 (日本時間)
403e60--
4511e6700 / 1528Dmitry DomanovDecember 30, 2009 21:03:20 UTC 2009 年 12 月 31 日 (木) 6 時 3 分 20 秒 (日本時間)
5043e6840 / 7396400Dmitry DomanovJune 6, 2011 22:07:19 UTC 2011 年 6 月 7 日 (火) 7 時 7 分 19 秒 (日本時間)
440Dmitry DomanovJune 25, 2011 21:47:12 UTC 2011 年 6 月 26 日 (日) 6 時 47 分 12 秒 (日本時間)

2×10226+9

c148

name 名前Markus Tervooren
date 日付February 28, 2010 11:31:55 UTC 2010 年 2 月 28 日 (日) 20 時 31 分 55 秒 (日本時間)
composite number 合成数
1475381546535763009054133106326369297974485702730205266523693377550212979568124204079913524072084926931021675917556047855721059968835245288537176377<148>
prime factors 素因数
6296561595659808889632914054972827377526471954382693133656942723411771281<73>
234315431386034047753559174281479947727100863055816396882407246086189816617<75>
factorization results 素因数分解の結果
~40 days sieving (core 2)

Sat Feb 27 11:42:05 2010  Msieve v. 1.44
Sat Feb 27 11:42:05 2010  random seeds: 4c5d708b bc1f3065
Sat Feb 27 11:42:05 2010  factoring 1475381546535763009054133106326369297974485702730205266523693377550212979568124204079913524072084926931021675917556047855721059968835245288537176377 (148 digits)
Sat Feb 27 11:42:06 2010  searching for 15-digit factors
Sat Feb 27 11:42:07 2010  commencing number field sieve (148-digit input)
Sat Feb 27 11:42:07 2010  R0: -49834654529542037711309539000
Sat Feb 27 11:42:07 2010  R1:  22936097362009801
Sat Feb 27 11:42:07 2010  A0:  410997495764666676817478532684193738377
Sat Feb 27 11:42:07 2010  A1:  93006092860827655961388428911735
Sat Feb 27 11:42:07 2010  A2: -14114556991615102867113406
Sat Feb 27 11:42:07 2010  A3: -1852214377303155065
Sat Feb 27 11:42:07 2010  A4:  140488440567
Sat Feb 27 11:42:07 2010  A5:  4800
Sat Feb 27 11:42:07 2010  skew 11321678.52, size 2.377993e-14, alpha -6.958654, combined = 6.937387e-12
Sat Feb 27 11:42:07 2010
Sat Feb 27 11:42:07 2010  commencing relation filtering
Sat Feb 27 11:42:07 2010  estimated available RAM is 8010.2 MB
Sat Feb 27 11:42:07 2010  commencing duplicate removal, pass 1
Sat Feb 27 11:50:28 2010  error -15 reading relation 64295008
Sat Feb 27 11:51:59 2010  error -5 reading relation 75663243
Sat Feb 27 11:52:09 2010  error -1 reading relation 77007879
Sat Feb 27 11:52:19 2010  error -11 reading relation 78208851
Sat Feb 27 11:52:29 2010  error -5 reading relation 79463386
Sat Feb 27 11:52:40 2010  error -15 reading relation 80845094
Sat Feb 27 11:55:19 2010  error -15 reading relation 102039619
Sat Feb 27 11:55:31 2010  error -15 reading relation 103635432
Sat Feb 27 11:55:42 2010  error -15 reading relation 105112541
Sat Feb 27 11:55:45 2010  error -11 reading relation 105505707
Sat Feb 27 11:55:48 2010  error -15 reading relation 106010946
Sat Feb 27 11:55:51 2010  error -9 reading relation 106413507
Sat Feb 27 11:57:26 2010  error -15 reading relation 119125809
Sat Feb 27 11:57:40 2010  error -15 reading relation 120961915
Sat Feb 27 12:01:09 2010  found 18647954 hash collisions in 148943564 relations
Sat Feb 27 12:02:09 2010  commencing duplicate removal, pass 2
Sat Feb 27 12:07:17 2010  found 17719636 duplicates and 131223928 unique relations
Sat Feb 27 12:07:17 2010  memory use: 788.8 MB
Sat Feb 27 12:07:17 2010  reading ideals above 39256064
Sat Feb 27 12:07:17 2010  commencing singleton removal, initial pass
Sat Feb 27 12:27:09 2010  memory use: 3012.0 MB
Sat Feb 27 12:27:09 2010  reading all ideals from disk
Sat Feb 27 12:27:58 2010  memory use: 2355.2 MB
Sat Feb 27 12:28:12 2010  commencing in-memory singleton removal
Sat Feb 27 12:28:27 2010  begin with 131223928 relations and 134978723 unique ideals
Sat Feb 27 12:30:48 2010  reduce to 48757619 relations and 36674780 ideals in 19 passes
Sat Feb 27 12:30:48 2010  max relations containing the same ideal: 24
Sat Feb 27 12:30:55 2010  reading ideals above 720000
Sat Feb 27 12:30:55 2010  commencing singleton removal, initial pass
Sat Feb 27 12:41:05 2010  memory use: 1378.0 MB
Sat Feb 27 12:41:05 2010  reading all ideals from disk
Sat Feb 27 12:41:30 2010  memory use: 1679.8 MB
Sat Feb 27 12:41:41 2010  keeping 41194389 ideals with weight <= 200, target excess is 260406
Sat Feb 27 12:41:52 2010  commencing in-memory singleton removal
Sat Feb 27 12:42:01 2010  begin with 48757620 relations and 41194389 unique ideals
Sat Feb 27 12:43:46 2010  reduce to 48753381 relations and 41190147 ideals in 11 passes
Sat Feb 27 12:43:46 2010  max relations containing the same ideal: 200
Sat Feb 27 12:44:29 2010  removing 4034407 relations and 3634407 ideals in 400000 cliques
Sat Feb 27 12:44:31 2010  commencing in-memory singleton removal
Sat Feb 27 12:44:40 2010  begin with 44718974 relations and 41190147 unique ideals
Sat Feb 27 12:46:07 2010  reduce to 44528333 relations and 37362981 ideals in 10 passes
Sat Feb 27 12:46:07 2010  max relations containing the same ideal: 194
Sat Feb 27 12:46:46 2010  removing 2879881 relations and 2479881 ideals in 400000 cliques
Sat Feb 27 12:46:48 2010  commencing in-memory singleton removal
Sat Feb 27 12:46:56 2010  begin with 41648452 relations and 37362981 unique ideals
Sat Feb 27 12:48:00 2010  reduce to 41537082 relations and 34770709 ideals in 8 passes
Sat Feb 27 12:48:00 2010  max relations containing the same ideal: 188
Sat Feb 27 12:48:36 2010  removing 2505226 relations and 2105226 ideals in 400000 cliques
Sat Feb 27 12:48:38 2010  commencing in-memory singleton removal
Sat Feb 27 12:48:45 2010  begin with 39031856 relations and 34770709 unique ideals
Sat Feb 27 12:49:38 2010  reduce to 38940044 relations and 32572879 ideals in 7 passes
Sat Feb 27 12:49:38 2010  max relations containing the same ideal: 181
Sat Feb 27 12:50:12 2010  removing 2291670 relations and 1891670 ideals in 400000 cliques
Sat Feb 27 12:50:13 2010  commencing in-memory singleton removal
Sat Feb 27 12:50:20 2010  begin with 36648374 relations and 32572879 unique ideals
Sat Feb 27 12:51:16 2010  reduce to 36566873 relations and 30598961 ideals in 8 passes
Sat Feb 27 12:51:16 2010  max relations containing the same ideal: 174
Sat Feb 27 12:51:48 2010  removing 2150868 relations and 1750868 ideals in 400000 cliques
Sat Feb 27 12:51:49 2010  commencing in-memory singleton removal
Sat Feb 27 12:51:56 2010  begin with 34416005 relations and 30598961 unique ideals
Sat Feb 27 12:52:41 2010  reduce to 34340588 relations and 28771977 ideals in 7 passes
Sat Feb 27 12:52:41 2010  max relations containing the same ideal: 166
Sat Feb 27 12:53:11 2010  removing 2039188 relations and 1639188 ideals in 400000 cliques
Sat Feb 27 12:53:12 2010  commencing in-memory singleton removal
Sat Feb 27 12:53:18 2010  begin with 32301400 relations and 28771977 unique ideals
Sat Feb 27 12:54:01 2010  reduce to 32228649 relations and 27059315 ideals in 7 passes
Sat Feb 27 12:54:01 2010  max relations containing the same ideal: 164
Sat Feb 27 12:54:28 2010  removing 1953594 relations and 1553594 ideals in 400000 cliques
Sat Feb 27 12:54:29 2010  commencing in-memory singleton removal
Sat Feb 27 12:54:35 2010  begin with 30275055 relations and 27059315 unique ideals
Sat Feb 27 12:55:15 2010  reduce to 30201050 relations and 25430932 ideals in 7 passes
Sat Feb 27 12:55:15 2010  max relations containing the same ideal: 154
Sat Feb 27 12:55:41 2010  removing 1886794 relations and 1486794 ideals in 400000 cliques
Sat Feb 27 12:55:42 2010  commencing in-memory singleton removal
Sat Feb 27 12:55:47 2010  begin with 28314256 relations and 25430932 unique ideals
Sat Feb 27 12:56:29 2010  reduce to 28240321 relations and 23869442 ideals in 8 passes
Sat Feb 27 12:56:29 2010  max relations containing the same ideal: 149
Sat Feb 27 12:56:53 2010  removing 1831499 relations and 1431499 ideals in 400000 cliques
Sat Feb 27 12:56:54 2010  commencing in-memory singleton removal
Sat Feb 27 12:56:59 2010  begin with 26408822 relations and 23869442 unique ideals
Sat Feb 27 12:57:34 2010  reduce to 26334060 relations and 22362278 ideals in 7 passes
Sat Feb 27 12:57:34 2010  max relations containing the same ideal: 142
Sat Feb 27 12:57:56 2010  removing 1789507 relations and 1389507 ideals in 400000 cliques
Sat Feb 27 12:57:57 2010  commencing in-memory singleton removal
Sat Feb 27 12:58:02 2010  begin with 24544553 relations and 22362278 unique ideals
Sat Feb 27 12:58:33 2010  reduce to 24468534 relations and 20895817 ideals in 7 passes
Sat Feb 27 12:58:33 2010  max relations containing the same ideal: 137
Sat Feb 27 12:58:54 2010  removing 1748613 relations and 1348613 ideals in 400000 cliques
Sat Feb 27 12:58:55 2010  commencing in-memory singleton removal
Sat Feb 27 12:58:59 2010  begin with 22719921 relations and 20895817 unique ideals
Sat Feb 27 12:59:28 2010  reduce to 22639669 relations and 19465860 ideals in 7 passes
Sat Feb 27 12:59:28 2010  max relations containing the same ideal: 126
Sat Feb 27 12:59:47 2010  removing 1722434 relations and 1322434 ideals in 400000 cliques
Sat Feb 27 12:59:48 2010  commencing in-memory singleton removal
Sat Feb 27 12:59:52 2010  begin with 20917235 relations and 19465860 unique ideals
Sat Feb 27 13:00:23 2010  reduce to 20836069 relations and 18061156 ideals in 8 passes
Sat Feb 27 13:00:23 2010  max relations containing the same ideal: 120
Sat Feb 27 13:00:40 2010  removing 1683856 relations and 1283856 ideals in 400000 cliques
Sat Feb 27 13:00:41 2010  commencing in-memory singleton removal
Sat Feb 27 13:00:45 2010  begin with 19152213 relations and 18061156 unique ideals
Sat Feb 27 13:01:09 2010  reduce to 19061760 relations and 16685457 ideals in 7 passes
Sat Feb 27 13:01:09 2010  max relations containing the same ideal: 113
Sat Feb 27 13:01:25 2010  removing 1677683 relations and 1277683 ideals in 400000 cliques
Sat Feb 27 13:01:26 2010  commencing in-memory singleton removal
Sat Feb 27 13:01:29 2010  begin with 17384077 relations and 16685457 unique ideals
Sat Feb 27 13:01:51 2010  reduce to 17289198 relations and 15311330 ideals in 7 passes
Sat Feb 27 13:01:51 2010  max relations containing the same ideal: 106
Sat Feb 27 13:02:06 2010  removing 1651462 relations and 1251462 ideals in 400000 cliques
Sat Feb 27 13:02:06 2010  commencing in-memory singleton removal
Sat Feb 27 13:02:09 2010  begin with 15637736 relations and 15311330 unique ideals
Sat Feb 27 13:02:32 2010  reduce to 15530590 relations and 13950722 ideals in 8 passes
Sat Feb 27 13:02:32 2010  max relations containing the same ideal: 98
Sat Feb 27 13:02:45 2010  removing 1643513 relations and 1243513 ideals in 400000 cliques
Sat Feb 27 13:02:46 2010  commencing in-memory singleton removal
Sat Feb 27 13:02:48 2010  begin with 13887077 relations and 13950722 unique ideals
Sat Feb 27 13:03:08 2010  reduce to 13765580 relations and 12583101 ideals in 8 passes
Sat Feb 27 13:03:08 2010  max relations containing the same ideal: 91
Sat Feb 27 13:03:20 2010  removing 1640556 relations and 1240556 ideals in 400000 cliques
Sat Feb 27 13:03:20 2010  commencing in-memory singleton removal
Sat Feb 27 13:03:22 2010  begin with 12125024 relations and 12583101 unique ideals
Sat Feb 27 13:03:40 2010  reduce to 11982930 relations and 11196962 ideals in 8 passes
Sat Feb 27 13:03:40 2010  max relations containing the same ideal: 82
Sat Feb 27 13:03:50 2010  removing 1643334 relations and 1243334 ideals in 400000 cliques
Sat Feb 27 13:03:51 2010  commencing in-memory singleton removal
Sat Feb 27 13:03:52 2010  begin with 10339596 relations and 11196962 unique ideals
Sat Feb 27 13:04:09 2010  reduce to 10169742 relations and 9778945 ideals in 9 passes
Sat Feb 27 13:04:09 2010  max relations containing the same ideal: 75
Sat Feb 27 13:04:17 2010  removing 515616 relations and 426890 ideals in 88726 cliques
Sat Feb 27 13:04:18 2010  commencing in-memory singleton removal
Sat Feb 27 13:04:19 2010  begin with 9654126 relations and 9778945 unique ideals
Sat Feb 27 13:04:30 2010  reduce to 9637866 relations and 9335687 ideals in 6 passes
Sat Feb 27 13:04:30 2010  max relations containing the same ideal: 74
Sat Feb 27 13:04:40 2010  relations with 0 large ideals: 803
Sat Feb 27 13:04:40 2010  relations with 1 large ideals: 4008
Sat Feb 27 13:04:40 2010  relations with 2 large ideals: 56076
Sat Feb 27 13:04:40 2010  relations with 3 large ideals: 358836
Sat Feb 27 13:04:40 2010  relations with 4 large ideals: 1207039
Sat Feb 27 13:04:40 2010  relations with 5 large ideals: 2336829
Sat Feb 27 13:04:40 2010  relations with 6 large ideals: 2724921
Sat Feb 27 13:04:40 2010  relations with 7+ large ideals: 2949354
Sat Feb 27 13:04:40 2010  commencing 2-way merge
Sat Feb 27 13:04:51 2010  reduce to 5860210 relation sets and 5558031 unique ideals
Sat Feb 27 13:04:51 2010  commencing full merge
Sat Feb 27 13:06:28 2010  memory use: 654.0 MB
Sat Feb 27 13:06:29 2010  found 3089551 cycles, need 3048231
Sat Feb 27 13:06:30 2010  weight of 3048231 cycles is about 213677772 (70.10/cycle)
Sat Feb 27 13:06:30 2010  distribution of cycle lengths:
Sat Feb 27 13:06:30 2010  1 relations: 358290
Sat Feb 27 13:06:30 2010  2 relations: 349730
Sat Feb 27 13:06:30 2010  3 relations: 367002
Sat Feb 27 13:06:30 2010  4 relations: 350558
Sat Feb 27 13:06:30 2010  5 relations: 328742
Sat Feb 27 13:06:30 2010  6 relations: 287188
Sat Feb 27 13:06:30 2010  7 relations: 246025
Sat Feb 27 13:06:30 2010  8 relations: 202337
Sat Feb 27 13:06:30 2010  9 relations: 160444
Sat Feb 27 13:06:30 2010  10+ relations: 397915
Sat Feb 27 13:06:30 2010  heaviest cycle: 18 relations
Sat Feb 27 13:06:31 2010  commencing cycle optimization
Sat Feb 27 13:06:37 2010  start with 16359275 relations
Sat Feb 27 13:07:00 2010  pruned 341801 relations
Sat Feb 27 13:07:01 2010  memory use: 560.6 MB
Sat Feb 27 13:07:01 2010  distribution of cycle lengths:
Sat Feb 27 13:07:01 2010  1 relations: 358290
Sat Feb 27 13:07:01 2010  2 relations: 356511
Sat Feb 27 13:07:01 2010  3 relations: 377582
Sat Feb 27 13:07:01 2010  4 relations: 357930
Sat Feb 27 13:07:01 2010  5 relations: 336204
Sat Feb 27 13:07:01 2010  6 relations: 291529
Sat Feb 27 13:07:01 2010  7 relations: 248929
Sat Feb 27 13:07:01 2010  8 relations: 201814
Sat Feb 27 13:07:01 2010  9 relations: 158012
Sat Feb 27 13:07:01 2010  10+ relations: 361430
Sat Feb 27 13:07:01 2010  heaviest cycle: 17 relations
Sat Feb 27 13:07:06 2010  RelProcTime: 5099
Sat Feb 27 13:07:06 2010  elapsed time 01:25:01
Sat Feb 27 13:19:28 2010
Sat Feb 27 13:19:28 2010
Sat Feb 27 13:19:28 2010  Msieve v. 1.44
Sat Feb 27 13:19:28 2010  random seeds: d931f578 6f1a8951
Sat Feb 27 13:19:28 2010  factoring 1475381546535763009054133106326369297974485702730205266523693377550212979568124204079913524072084926931021675917556047855721059968835245288537176377 (148 digits)
Sat Feb 27 13:19:29 2010  searching for 15-digit factors
Sat Feb 27 13:19:29 2010  commencing number field sieve (148-digit input)
Sat Feb 27 13:19:29 2010  R0: -49834654529542037711309539000
Sat Feb 27 13:19:29 2010  R1:  22936097362009801
Sat Feb 27 13:19:29 2010  A0:  410997495764666676817478532684193738377
Sat Feb 27 13:19:29 2010  A1:  93006092860827655961388428911735
Sat Feb 27 13:19:29 2010  A2: -14114556991615102867113406
Sat Feb 27 13:19:29 2010  A3: -1852214377303155065
Sat Feb 27 13:19:29 2010  A4:  140488440567
Sat Feb 27 13:19:29 2010  A5:  4800
Sat Feb 27 13:19:29 2010  skew 11321678.52, size 2.377993e-14, alpha -6.958654, combined = 6.937387e-12
Sat Feb 27 13:19:29 2010
Sat Feb 27 13:19:29 2010  commencing linear algebra
Sat Feb 27 13:19:30 2010  read 3048231 cycles
Sat Feb 27 13:19:35 2010  cycles contain 9454323 unique relations
Sat Feb 27 13:25:20 2010  read 9454323 relations
Sat Feb 27 13:25:34 2010  using 20 quadratic characters above 2147476932
Sat Feb 27 13:26:23 2010  building initial matrix
Sat Feb 27 13:28:49 2010  memory use: 1285.2 MB
Sat Feb 27 13:28:51 2010  read 3048231 cycles
Sat Feb 27 13:28:53 2010  matrix is 3048051 x 3048231 (927.3 MB) with weight 293809996 (96.39/col)
Sat Feb 27 13:28:53 2010  sparse part has weight 206519718 (67.75/col)
Sat Feb 27 13:29:36 2010  filtering completed in 2 passes
Sat Feb 27 13:29:37 2010  matrix is 3046123 x 3046303 (927.2 MB) with weight 293740797 (96.43/col)
Sat Feb 27 13:29:37 2010  sparse part has weight 206503430 (67.79/col)
Sat Feb 27 13:29:49 2010  read 3046303 cycles
Sat Feb 27 13:29:51 2010  matrix is 3046123 x 3046303 (927.2 MB) with weight 293740797 (96.43/col)
Sat Feb 27 13:29:51 2010  sparse part has weight 206503430 (67.79/col)
Sat Feb 27 13:29:51 2010  saving the first 48 matrix rows for later
Sat Feb 27 13:29:52 2010  matrix is 3046075 x 3046303 (897.7 MB) with weight 234432875 (76.96/col)
Sat Feb 27 13:29:52 2010  sparse part has weight 204872004 (67.25/col)
Sat Feb 27 13:29:52 2010  matrix includes 64 packed rows
Sat Feb 27 13:29:52 2010  using block size 65536 for processor cache size 4096 kB
Sat Feb 27 13:30:05 2010  commencing Lanczos iteration (2 threads)
Sat Feb 27 13:30:05 2010  memory use: 899.4 MB
Sat Feb 27 13:30:26 2010  linear algebra at 0.0%, ETA 21h 8m
Sun Feb 28 09:27:54 2010  lanczos halted after 48173 iterations (dim = 3046074)
Sun Feb 28 09:28:00 2010  recovered 30 nontrivial dependencies
Sun Feb 28 09:28:00 2010  BLanczosTime: 72511
Sun Feb 28 09:28:00 2010  elapsed time 20:08:32
Sun Feb 28 11:48:13 2010
Sun Feb 28 11:48:13 2010
Sun Feb 28 11:48:13 2010  Msieve v. 1.44
Sun Feb 28 11:48:13 2010  random seeds: f9cea868 d2b1bf5d
Sun Feb 28 11:48:13 2010  factoring 1475381546535763009054133106326369297974485702730205266523693377550212979568124204079913524072084926931021675917556047855721059968835245288537176377 (148 digits)
Sun Feb 28 11:48:14 2010  searching for 15-digit factors
Sun Feb 28 11:48:14 2010  commencing number field sieve (148-digit input)
Sun Feb 28 11:48:14 2010  R0: -49834654529542037711309539000
Sun Feb 28 11:48:14 2010  R1:  22936097362009801
Sun Feb 28 11:48:14 2010  A0:  410997495764666676817478532684193738377
Sun Feb 28 11:48:14 2010  A1:  93006092860827655961388428911735
Sun Feb 28 11:48:14 2010  A2: -14114556991615102867113406
Sun Feb 28 11:48:14 2010  A3: -1852214377303155065
Sun Feb 28 11:48:14 2010  A4:  140488440567
Sun Feb 28 11:48:14 2010  A5:  4800
Sun Feb 28 11:48:14 2010  skew 11321678.52, size 2.377993e-14, alpha -6.958654, combined = 6.937387e-12
Sun Feb 28 11:48:14 2010
Sun Feb 28 11:48:14 2010  commencing square root phase
Sun Feb 28 11:48:14 2010  reading relations for dependency 1
Sun Feb 28 11:48:15 2010  read 1524593 cycles
Sun Feb 28 11:48:18 2010  cycles contain 4729198 unique relations
Sun Feb 28 11:53:25 2010  read 4729198 relations
Sun Feb 28 11:53:55 2010  multiplying 4729198 relations
Sun Feb 28 12:00:25 2010  multiply complete, coefficients have about 228.89 million bits
Sun Feb 28 12:00:29 2010  initial square root is modulo 163771277
Sun Feb 28 12:09:04 2010  sqrtTime: 1250
Sun Feb 28 12:09:04 2010  prp73 factor: 6296561595659808889632914054972827377526471954382693133656942723411771281
Sun Feb 28 12:09:04 2010  prp75 factor: 234315431386034047753559174281479947727100863055816396882407246086189816617
Sun Feb 28 12:09:04 2010  elapsed time 00:20:51

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 23, 2009 02:00:00 UTC 2009 年 12 月 23 日 (水) 11 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiDecember 25, 2009 01:48:04 UTC 2009 年 12 月 25 日 (金) 10 時 48 分 4 秒 (日本時間)
4511e62746933Dmitry DomanovJanuary 2, 2010 18:50:24 UTC 2010 年 1 月 3 日 (日) 3 時 50 分 24 秒 (日本時間)
1813Dmitry DomanovJanuary 19, 2010 20:31:13 UTC 2010 年 1 月 20 日 (水) 5 時 31 分 13 秒 (日本時間)
5043e66849Wataru SakaiFebruary 4, 2010 09:43:59 UTC 2010 年 2 月 4 日 (木) 18 時 43 分 59 秒 (日本時間)

2×10227+9

c160

composite cofactor 合成数の残り
9213552555132826284688108026799672225240027749386611370806244490553632019786246246963905181152150149242331894379939268572996351530071057711905758901844820267323<160>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 23, 2009 02:00:00 UTC 2009 年 12 月 23 日 (水) 11 時 0 分 0 秒 (日本時間)
403e60--
4511e6846 / 1709Dmitry DomanovJanuary 7, 2010 21:41:11 UTC 2010 年 1 月 8 日 (金) 6 時 41 分 11 秒 (日本時間)
5043e6580 / 7122100Dmitry DomanovJune 6, 2011 22:10:32 UTC 2011 年 6 月 7 日 (火) 7 時 10 分 32 秒 (日本時間)
480Dmitry DomanovJune 25, 2011 21:46:32 UTC 2011 年 6 月 26 日 (日) 6 時 46 分 32 秒 (日本時間)
5511e7100 / 17509Dmitry DomanovJune 11, 2011 09:07:46 UTC 2011 年 6 月 11 日 (土) 18 時 7 分 46 秒 (日本時間)

2×10229+9

c230

name 名前RSALS + Jeff Gilchrist
date 日付January 21, 2010 17:16:01 UTC 2010 年 1 月 22 日 (金) 2 時 16 分 1 秒 (日本時間)
composite number 合成数
20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009<230>
prime factors 素因数
2172841954623092027926900794507167061233744028370654413865112222803660212219603365313557931172150483893294107<109>
9204535082474170401321727290471233429691652107066206945430845050199752356883387307148694223331985823112096176125374486187<121>
factorization results 素因数分解の結果
Fri Jan 15 06:04:31 2010
Fri Jan 15 06:04:31 2010
Fri Jan 15 06:04:31 2010  Msieve v. 1.43
Fri Jan 15 06:04:31 2010  random seeds: 7cdd1b70 de5a6637
Fri Jan 15 06:04:31 2010  factoring
20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009
(230 digits)
Fri Jan 15 06:04:33 2010  searching for 15-digit factors
Fri Jan 15 06:04:34 2010  commencing number field sieve (230-digit input)
Fri Jan 15 06:04:34 2010  R0: -100000000000000000000000000000000000000
Fri Jan 15 06:04:34 2010  R1:  1
Fri Jan 15 06:04:34 2010  A0:  9
Fri Jan 15 06:04:34 2010  A1:  0
Fri Jan 15 06:04:34 2010  A2:  0
Fri Jan 15 06:04:34 2010  A3:  0
Fri Jan 15 06:04:34 2010  A4:  0
Fri Jan 15 06:04:34 2010  A5:  0
Fri Jan 15 06:04:34 2010  A6:  20
Fri Jan 15 06:04:34 2010  skew 0.88, size 1.955798e-011, alpha
1.535887, combined = 1.054993e-012
Fri Jan 15 06:04:34 2010
Fri Jan 15 06:04:34 2010  commencing relation filtering
Fri Jan 15 06:04:34 2010  estimated available RAM is 4095.1 MB
Fri Jan 15 06:04:34 2010  commencing duplicate removal, pass 1
Fri Jan 15 06:05:14 2010  error -15 reading relation 4985109
Fri Jan 15 06:05:14 2010  error -9 reading relation 4985125
Fri Jan 15 06:05:14 2010  error -9 reading relation 4986559
Fri Jan 15 06:05:14 2010  error -9 reading relation 4986689
Fri Jan 15 06:05:15 2010  error -15 reading relation 5225131
Fri Jan 15 06:05:15 2010  error -1 reading relation 5247095
Fri Jan 15 06:05:28 2010  error -15 reading relation 7424901
Fri Jan 15 06:05:33 2010  error -9 reading relation 8319048
Fri Jan 15 06:05:47 2010  error -15 reading relation 10366707
Fri Jan 15 06:05:50 2010  error -9 reading relation 10809275
Fri Jan 15 06:05:59 2010  error -15 reading relation 12226002
Fri Jan 15 06:06:00 2010  error -15 reading relation 12466318
Fri Jan 15 06:06:02 2010  error -9 reading relation 12926042
Fri Jan 15 06:06:03 2010  error -15 reading relation 12983407
Fri Jan 15 06:06:16 2010  error -15 reading relation 15447530
Fri Jan 15 06:06:16 2010  error -9 reading relation 15551809
Fri Jan 15 06:06:18 2010  error -9 reading relation 15938694
Fri Jan 15 06:06:23 2010  error -9 reading relation 16907074
Fri Jan 15 06:06:39 2010  error -9 reading relation 19990819
Fri Jan 15 06:06:44 2010  error -9 reading relation 21079738
Fri Jan 15 06:06:44 2010  error -15 reading relation 21092893
Fri Jan 15 06:06:45 2010  error -15 reading relation 21109651
Fri Jan 15 06:07:35 2010  error -15 reading relation 31043150
Fri Jan 15 06:07:36 2010  error -6 reading relation 31281678
Fri Jan 15 06:07:51 2010  error -1 reading relation 34342176
Fri Jan 15 06:08:13 2010  error -9 reading relation 38866365
Fri Jan 15 06:08:13 2010  error -9 reading relation 39003773
Fri Jan 15 06:08:15 2010  error -15 reading relation 39401561
Fri Jan 15 06:08:17 2010  error -15 reading relation 39648291
Fri Jan 15 06:08:52 2010  error -15 reading relation 46978087
Fri Jan 15 06:08:52 2010  error -1 reading relation 46990083
Fri Jan 15 06:08:52 2010  error -9 reading relation 47004627
Fri Jan 15 06:08:52 2010  error -9 reading relation 47038898
Fri Jan 15 06:08:59 2010  error -5 reading relation 48409792
Fri Jan 15 06:08:59 2010  error -1 reading relation 48437324
Fri Jan 15 06:08:59 2010  error -15 reading relation 48453797
Fri Jan 15 06:09:44 2010  error -9 reading relation 57602425
Fri Jan 15 06:09:54 2010  error -9 reading relation 59619538
Fri Jan 15 06:10:08 2010  error -15 reading relation 62342311
Fri Jan 15 06:10:20 2010  error -15 reading relation 64866982
Fri Jan 15 06:10:29 2010  error -15 reading relation 66753283
Fri Jan 15 06:10:36 2010  error -11 reading relation 68286285
Fri Jan 15 06:11:51 2010  error -6 reading relation 82947091
Fri Jan 15 06:12:03 2010  error -6 reading relation 85273446
Fri Jan 15 06:12:13 2010  error -15 reading relation 87275434
Fri Jan 15 06:12:13 2010  error -15 reading relation 87287239
Fri Jan 15 06:12:13 2010  error -15 reading relation 87296589
Fri Jan 15 06:12:15 2010  error -9 reading relation 87590334
Fri Jan 15 06:12:16 2010  error -15 reading relation 87868034
Fri Jan 15 06:12:18 2010  error -9 reading relation 88263518
Fri Jan 15 06:12:28 2010  error -15 reading relation 90423641
Fri Jan 15 06:12:29 2010  error -15 reading relation 90483518
Fri Jan 15 06:12:33 2010  error -15 reading relation 91263146
Fri Jan 15 06:12:36 2010  error -9 reading relation 91907215
Fri Jan 15 06:12:37 2010  error -15 reading relation 92064415
Fri Jan 15 06:12:37 2010  error -5 reading relation 92128385
Fri Jan 15 06:12:38 2010  error -15 reading relation 92323167
Fri Jan 15 06:12:38 2010  error -9 reading relation 92403898
Fri Jan 15 06:12:42 2010  error -9 reading relation 93201029
Fri Jan 15 06:12:59 2010  error -6 reading relation 96617580
Fri Jan 15 06:13:03 2010  error -9 reading relation 97317386
Fri Jan 15 06:13:08 2010  error -5 reading relation 98237270
Fri Jan 15 06:13:13 2010  error -11 reading relation 99170180
Fri Jan 15 06:13:14 2010  found 19910308 hash collisions in 99567829 relations
Fri Jan 15 06:13:57 2010  added 1218217 free relations
Fri Jan 15 06:13:57 2010  commencing duplicate removal, pass 2
Fri Jan 15 06:18:31 2010  found 20048979 duplicates and 80737067
unique relations
Fri Jan 15 06:18:31 2010  memory use: 660.8 MB
Fri Jan 15 06:18:31 2010  reading ideals above 79888384
Fri Jan 15 06:18:31 2010  commencing singleton removal, initial pass
Fri Jan 15 06:28:34 2010  memory use: 1506.0 MB
Fri Jan 15 06:28:35 2010  reading all ideals from disk
Fri Jan 15 06:28:55 2010  memory use: 1344.4 MB
Fri Jan 15 06:29:02 2010  commencing in-memory singleton removal
Fri Jan 15 06:29:10 2010  begin with 80737067 relations and 74138729
unique ideals
Fri Jan 15 06:30:30 2010  reduce to 40456219 relations and 28507790
ideals in 18 passes
Fri Jan 15 06:30:30 2010  max relations containing the same ideal: 25
Fri Jan 15 06:30:36 2010  reading ideals above 720000
Fri Jan 15 06:30:36 2010  commencing singleton removal, initial pass
Fri Jan 15 06:39:47 2010  memory use: 753.0 MB
Fri Jan 15 06:39:47 2010  reading all ideals from disk
Fri Jan 15 06:40:14 2010  memory use: 1512.6 MB
Fri Jan 15 06:40:24 2010  keeping 37607345 ideals with weight <= 200,
target excess is 216183
Fri Jan 15 06:40:32 2010  commencing in-memory singleton removal
Fri Jan 15 06:40:41 2010  begin with 40456228 relations and 37607345
unique ideals
Fri Jan 15 06:42:22 2010  reduce to 40347168 relations and 37498223
ideals in 12 passes
Fri Jan 15 06:42:22 2010  max relations containing the same ideal: 200
Fri Jan 15 06:43:00 2010  removing 3640548 relations and 3240548
ideals in 400000 cliques
Fri Jan 15 06:43:02 2010  commencing in-memory singleton removal
Fri Jan 15 06:43:10 2010  begin with 36706620 relations and 37498223
unique ideals
Fri Jan 15 06:44:32 2010  reduce to 36457546 relations and 34005179
ideals in 11 passes
Fri Jan 15 06:44:32 2010  max relations containing the same ideal: 193
Fri Jan 15 06:45:06 2010  removing 2687754 relations and 2287754
ideals in 400000 cliques
Fri Jan 15 06:45:08 2010  commencing in-memory singleton removal
Fri Jan 15 06:45:15 2010  begin with 33769792 relations and 34005179
unique ideals
Fri Jan 15 06:46:12 2010  reduce to 33618995 relations and 31564805
ideals in 8 passes
Fri Jan 15 06:46:12 2010  max relations containing the same ideal: 185
Fri Jan 15 06:46:44 2010  removing 2380978 relations and 1980978
ideals in 400000 cliques
Fri Jan 15 06:46:45 2010  commencing in-memory singleton removal
Fri Jan 15 06:46:52 2010  begin with 31238017 relations and 31564805
unique ideals
Fri Jan 15 06:47:46 2010  reduce to 31109714 relations and 29453991
ideals in 8 passes
Fri Jan 15 06:47:46 2010  max relations containing the same ideal: 175
Fri Jan 15 06:48:15 2010  removing 2214947 relations and 1814947
ideals in 400000 cliques
Fri Jan 15 06:48:16 2010  commencing in-memory singleton removal
Fri Jan 15 06:48:23 2010  begin with 28894767 relations and 29453991
unique ideals
Fri Jan 15 06:49:05 2010  reduce to 28776221 relations and 27519095
ideals in 7 passes
Fri Jan 15 06:49:05 2010  max relations containing the same ideal: 165
Fri Jan 15 06:49:33 2010  removing 2102318 relations and 1702318
ideals in 400000 cliques
Fri Jan 15 06:49:34 2010  commencing in-memory singleton removal
Fri Jan 15 06:49:40 2010  begin with 26673903 relations and 27519095
unique ideals
Fri Jan 15 06:50:25 2010  reduce to 26556198 relations and 25697522
ideals in 8 passes
Fri Jan 15 06:50:25 2010  max relations containing the same ideal: 160
Fri Jan 15 06:50:49 2010  removing 2024362 relations and 1624362
ideals in 400000 cliques
Fri Jan 15 06:50:50 2010  commencing in-memory singleton removal
Fri Jan 15 06:50:55 2010  begin with 24531836 relations and 25697522
unique ideals
Fri Jan 15 06:51:29 2010  reduce to 24414978 relations and 23954720
ideals in 7 passes
Fri Jan 15 06:51:29 2010  max relations containing the same ideal: 153
Fri Jan 15 06:51:51 2010  removing 1167172 relations and 957687 ideals
in 209485 cliques
Fri Jan 15 06:51:52 2010  commencing in-memory singleton removal
Fri Jan 15 06:51:56 2010  begin with 23247806 relations and 23954720
unique ideals
Fri Jan 15 06:52:24 2010  reduce to 23208624 relations and 22957541
ideals in 6 passes
Fri Jan 15 06:52:24 2010  max relations containing the same ideal: 149
Fri Jan 15 06:52:49 2010  relations with 0 large ideals: 7567
Fri Jan 15 06:52:49 2010  relations with 1 large ideals: 914
Fri Jan 15 06:52:49 2010  relations with 2 large ideals: 12627
Fri Jan 15 06:52:49 2010  relations with 3 large ideals: 126122
Fri Jan 15 06:52:49 2010  relations with 4 large ideals: 692765
Fri Jan 15 06:52:49 2010  relations with 5 large ideals: 2288876
Fri Jan 15 06:52:49 2010  relations with 6 large ideals: 4755027
Fri Jan 15 06:52:49 2010  relations with 7+ large ideals: 15324726
Fri Jan 15 06:52:49 2010  commencing 2-way merge
Fri Jan 15 06:53:21 2010  reduce to 14726669 relation sets and
14475586 unique ideals
Fri Jan 15 06:53:21 2010  commencing full merge
Fri Jan 15 07:24:22 2010  memory use: 1814.1 MB
Fri Jan 15 07:24:45 2010  found 7861371 cycles, need 7827786
Fri Jan 15 07:24:46 2010  weight of 7827786 cycles is about 548141447
(70.03/cycle)
Fri Jan 15 07:24:46 2010  distribution of cycle lengths:
Fri Jan 15 07:24:46 2010  1 relations: 1015508
Fri Jan 15 07:24:46 2010  2 relations: 1005750
Fri Jan 15 07:24:46 2010  3 relations: 971557
Fri Jan 15 07:24:46 2010  4 relations: 870259
Fri Jan 15 07:24:46 2010  5 relations: 765481
Fri Jan 15 07:24:46 2010  6 relations: 656210
Fri Jan 15 07:24:46 2010  7 relations: 561643
Fri Jan 15 07:24:46 2010  8 relations: 468230
Fri Jan 15 07:24:46 2010  9 relations: 381262
Fri Jan 15 07:24:46 2010  10+ relations: 1131886
Fri Jan 15 07:24:46 2010  heaviest cycle: 23 relations
Fri Jan 15 07:24:49 2010  commencing cycle optimization
Fri Jan 15 07:25:00 2010  start with 42136277 relations
Fri Jan 15 07:26:18 2010  pruned 927224 relations
Fri Jan 15 07:26:18 2010  memory use: 1390.4 MB
Fri Jan 15 07:26:18 2010  distribution of cycle lengths:
Fri Jan 15 07:26:18 2010  1 relations: 1015508
Fri Jan 15 07:26:18 2010  2 relations: 1024732
Fri Jan 15 07:26:18 2010  3 relations: 1002333
Fri Jan 15 07:26:18 2010  4 relations: 887730
Fri Jan 15 07:26:18 2010  5 relations: 781134
Fri Jan 15 07:26:18 2010  6 relations: 662434
Fri Jan 15 07:26:18 2010  7 relations: 565368
Fri Jan 15 07:26:18 2010  8 relations: 466530
Fri Jan 15 07:26:18 2010  9 relations: 375996
Fri Jan 15 07:26:18 2010  10+ relations: 1046021
Fri Jan 15 07:26:18 2010  heaviest cycle: 23 relations
Fri Jan 15 07:26:32 2010  RelProcTime: 4918
Fri Jan 15 07:26:32 2010
Fri Jan 15 07:26:32 2010  commencing linear algebra
Fri Jan 15 07:26:35 2010  read 7827786 cycles
Fri Jan 15 07:26:48 2010  cycles contain 23032240 unique relations
Fri Jan 15 07:31:45 2010  read 23032240 relations
Fri Jan 15 07:32:19 2010  using 20 quadratic characters above 1073738864
Fri Jan 15 07:34:00 2010  building initial matrix
Fri Jan 15 07:38:23 2010  memory use: 2897.0 MB
Fri Jan 15 07:38:58 2010  read 7827786 cycles
Fri Jan 15 07:40:25 2010  matrix is 7827608 x 7827786 (2355.9 MB) with
weight 679983389 (86.87/col)
Fri Jan 15 07:40:25 2010  sparse part has weight 531486291 (67.90/col)
Fri Jan 15 07:41:57 2010  filtering completed in 2 passes
Fri Jan 15 07:41:59 2010  matrix is 7825226 x 7825404 (2355.8 MB) with
weight 679925735 (86.89/col)
Fri Jan 15 07:41:59 2010  sparse part has weight 531471960 (67.92/col)
Fri Jan 15 07:45:33 2010  read 7825404 cycles
Fri Jan 15 07:46:52 2010  matrix is 7825226 x 7825404 (2355.8 MB) with
weight 679925735 (86.89/col)
Fri Jan 15 07:46:52 2010  sparse part has weight 531471960 (67.92/col)
Fri Jan 15 07:46:52 2010  saving the first 48 matrix rows for later
Fri Jan 15 07:46:57 2010  matrix is 7825178 x 7825404 (2250.1 MB) with
weight 549385970 (70.21/col)
Fri Jan 15 07:46:57 2010  sparse part has weight 511593230 (65.38/col)
Fri Jan 15 07:46:57 2010  matrix includes 64 packed rows
Fri Jan 15 07:46:57 2010  using block size 65536 for processor cache
size 6144 kB
Fri Jan 15 07:49:11 2010  commencing Lanczos iteration (4 threads)
Fri Jan 15 07:49:11 2010  memory use: 2445.0 MB
Fri Jan 15 07:49:53 2010  linear algebra at 0.0%, ETA 111h23m
Fri Jan 15 08:58:37 2010  lanczos halted after 1279 iterations (dim = 80843)
Fri Jan 15 08:58:38 2010  BLanczosTime: 5526
Fri Jan 15 08:58:38 2010
Fri Jan 15 08:58:38 2010  commencing square root phase
Fri Jan 15 08:58:38 2010  reading relations for dependency 1
Fri Jan 15 08:58:38 2010  error: read_cycles can't open dependency file
Fri Jan 15 16:01:57 2010
Fri Jan 15 16:01:57 2010
Fri Jan 15 16:01:57 2010  Msieve v. 1.43
Fri Jan 15 16:01:57 2010  random seeds: 28233674 e12ecaee
Fri Jan 15 16:01:57 2010  factoring
20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009
(230 digits)
Fri Jan 15 16:02:00 2010  no P-1/P+1/ECM available, skipping
Fri Jan 15 16:02:00 2010  commencing number field sieve (230-digit input)
Fri Jan 15 16:02:00 2010  R0: -100000000000000000000000000000000000000
Fri Jan 15 16:02:00 2010  R1:  1
Fri Jan 15 16:02:00 2010  A0:  9
Fri Jan 15 16:02:00 2010  A1:  0
Fri Jan 15 16:02:00 2010  A2:  0
Fri Jan 15 16:02:00 2010  A3:  0
Fri Jan 15 16:02:00 2010  A4:  0
Fri Jan 15 16:02:00 2010  A5:  0
Fri Jan 15 16:02:00 2010  A6:  20
Fri Jan 15 16:02:00 2010  skew 0.88, size 1.955798e-11, alpha
1.535887, combined = 1.054993e-12
Fri Jan 15 16:02:00 2010
Fri Jan 15 16:02:00 2010  commencing linear algebra
Fri Jan 15 16:02:02 2010  read 7825404 cycles
Fri Jan 15 16:02:11 2010  matrix is 7825226 x 7825404 (2355.8 MB) with
weight 679925735 (86.89/col)
Fri Jan 15 16:02:11 2010  sparse part has weight 531471960 (67.92/col)
Fri Jan 15 16:02:11 2010  saving the first 48 matrix rows for later
Fri Jan 15 16:02:18 2010  matrix is 7825178 x 7825404 (2250.1 MB) with
weight 549385970 (70.21/col)
Fri Jan 15 16:02:18 2010  sparse part has weight 511593230 (65.38/col)
Fri Jan 15 16:02:18 2010  matrix includes 64 packed rows
Fri Jan 15 16:02:19 2010  using block size 65536 for processor cache
size 6144 kB
Fri Jan 15 16:03:05 2010  commencing Lanczos iteration (6 threads)
Fri Jan 15 16:03:05 2010  memory use: 2564.4 MB
Fri Jan 15 16:03:05 2010  restarting at iteration 1279 (dim = 80843)
Fri Jan 15 16:03:52 2010  linear algebra at 1.0%, ETA 131h59m
Sat Jan 16 19:31:45 2010  lanczos halted after 26245 iterations (dim = 1659496)
Sat Jan 16 19:31:45 2010  BLanczosTime: 98985
Sat Jan 16 19:31:45 2010  elapsed time 27:29:48
Sat Jan 16 19:38:31 2010
Sat Jan 16 19:38:31 2010
Sat Jan 16 19:38:31 2010  Msieve v. 1.43
Sat Jan 16 19:38:31 2010  random seeds: 55755494 e487147f
Sat Jan 16 19:38:31 2010  factoring
20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009
(230 digits)
Sat Jan 16 19:38:34 2010  no P-1/P+1/ECM available, skipping
Sat Jan 16 19:38:34 2010  commencing number field sieve (230-digit input)
Sat Jan 16 19:38:34 2010  R0: -100000000000000000000000000000000000000
Sat Jan 16 19:38:34 2010  R1:  1
Sat Jan 16 19:38:34 2010  A0:  9
Sat Jan 16 19:38:34 2010  A1:  0
Sat Jan 16 19:38:34 2010  A2:  0
Sat Jan 16 19:38:35 2010  A3:  0
Sat Jan 16 19:38:35 2010  A4:  0
Sat Jan 16 19:38:35 2010  A5:  0
Sat Jan 16 19:38:35 2010  A6:  20
Sat Jan 16 19:38:35 2010  skew 0.88, size 1.955798e-11, alpha
1.535887, combined = 1.054993e-12
Sat Jan 16 19:38:35 2010
Sat Jan 16 19:38:35 2010  commencing linear algebra
Sat Jan 16 19:38:38 2010  read 7825404 cycles
Sat Jan 16 19:38:59 2010  matrix is 7825226 x 7825404 (2355.8 MB) with
weight 679925735 (86.89/col)
Sat Jan 16 19:38:59 2010  sparse part has weight 531471960 (67.92/col)
Sat Jan 16 19:39:00 2010  saving the first 48 matrix rows for later
Sat Jan 16 19:39:07 2010  matrix is 7825178 x 7825404 (2250.1 MB) with
weight 549385970 (70.21/col)
Sat Jan 16 19:39:07 2010  sparse part has weight 511593230 (65.38/col)
Sat Jan 16 19:39:07 2010  matrix includes 64 packed rows
Sat Jan 16 19:39:07 2010  using block size 65536 for processor cache
size 6144 kB
Sat Jan 16 19:39:53 2010  commencing Lanczos iteration (6 threads)
Sat Jan 16 19:39:53 2010  memory use: 2564.4 MB
Sat Jan 16 19:39:56 2010  restarting at iteration 26245 (dim = 1659496)
Sat Jan 16 19:40:44 2010  linear algebra at 21.2%, ETA 108h43m
Thu Jan 21 06:57:44 2010  lanczos halted after 123749 iterations (dim = 7825177)
Thu Jan 21 06:58:05 2010  recovered 40 nontrivial dependencies
Thu Jan 21 06:58:06 2010  BLanczosTime: 386371
Thu Jan 21 06:58:06 2010  elapsed time 107:19:35
Thu Jan 21 07:22:35 2010
Thu Jan 21 07:22:35 2010
Thu Jan 21 07:22:35 2010  Msieve v. 1.43
Thu Jan 21 07:22:35 2010  random seeds: 9663d828 0dd42a98
Thu Jan 21 07:22:35 2010  factoring
20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009
(230 digits)
Thu Jan 21 07:22:37 2010  searching for 15-digit factors
Thu Jan 21 07:22:38 2010  commencing number field sieve (230-digit input)
Thu Jan 21 07:22:38 2010  R0: -100000000000000000000000000000000000000
Thu Jan 21 07:22:38 2010  R1:  1
Thu Jan 21 07:22:38 2010  A0:  9
Thu Jan 21 07:22:38 2010  A1:  0
Thu Jan 21 07:22:38 2010  A2:  0
Thu Jan 21 07:22:38 2010  A3:  0
Thu Jan 21 07:22:38 2010  A4:  0
Thu Jan 21 07:22:38 2010  A5:  0
Thu Jan 21 07:22:38 2010  A6:  20
Thu Jan 21 07:22:38 2010  skew 0.88, size 1.955798e-011, alpha
1.535887, combined = 1.054993e-012
Thu Jan 21 07:22:38 2010
Thu Jan 21 07:22:38 2010  commencing square root phase
Thu Jan 21 07:22:38 2010  reading relations for dependency 1
Thu Jan 21 07:22:41 2010  read 3913309 cycles
Thu Jan 21 07:22:49 2010  cycles contain 11514204 unique relations
Thu Jan 21 07:26:01 2010  read 11514204 relations
Thu Jan 21 07:27:14 2010  multiplying 11514204 relations
Thu Jan 21 07:41:58 2010  multiply complete, coefficients have about
330.67 million bits
Thu Jan 21 07:42:02 2010  initial square root is modulo 857539
Thu Jan 21 08:06:41 2010  sqrtTime: 2643
Thu Jan 21 08:06:41 2010  prp109 factor:
2172841954623092027926900794507167061233744028370654413865112222803660212219603365313557931172150483893294107
Thu Jan 21 08:06:41 2010  prp121 factor:
9204535082474170401321727290471233429691652107066206945430845050199752356883387307148694223331985823112096176125374486187
Thu Jan 21 08:06:41 2010  elapsed time 00:44:06
software ソフトウェア
ggnfs-lasieve4I14e on the RSALS grid + msieve (100% by Jeff Gilchrist)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 23, 2009 02:00:00 UTC 2009 年 12 月 23 日 (水) 11 時 0 分 0 秒 (日本時間)
403e60--
4511e60 / 3423--
5043e6300 / 7553100Lionel DebrouxDecember 29, 2009 07:36:42 UTC 2009 年 12 月 29 日 (火) 16 時 36 分 42 秒 (日本時間)
100Lionel DebrouxDecember 30, 2009 07:19:21 UTC 2009 年 12 月 30 日 (水) 16 時 19 分 21 秒 (日本時間)
100Lionel DebrouxDecember 30, 2009 18:23:41 UTC 2009 年 12 月 31 日 (木) 3 時 23 分 41 秒 (日本時間)

2×10230+9

c208

name 名前Dmitry Domanov
date 日付December 26, 2009 18:15:00 UTC 2009 年 12 月 27 日 (日) 3 時 15 分 0 秒 (日本時間)
composite number 合成数
6488242015298548405472956521127386962987270998929413734459535710094016795865979391030915081605731321840611898998470247967671353880877176028524368653189467136140090938525893875501549437142781651909746215277739<208>
prime factors 素因数
7073788323327073327258989897992617<34>
composite cofactor 合成数の残り
917223094434762491286013571173061287620094347946329312148732779955057197042337509159978376511017279572890823924278440190462392904036852604802751256146369522413326232732297267<174>
factorization results 素因数分解の結果
Factor=7073788323327073327258989897992617  Method=ECM  B1=11000000  Sigma=3376074941
software ソフトウェア
ECMNET

c174

name 名前Dmitry Domanov
date 日付June 26, 2011 07:55:24 UTC 2011 年 6 月 26 日 (日) 16 時 55 分 24 秒 (日本時間)
composite number 合成数
917223094434762491286013571173061287620094347946329312148732779955057197042337509159978376511017279572890823924278440190462392904036852604802751256146369522413326232732297267<174>
prime factors 素因数
3303258174737052152437657497734399871388360043<46>
277672239321038177387783564205201197243734699065269909906632005088411286221102565783690689734747275313434128530529475473351150169<129>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=787881152
Step 1 took 351180ms
Step 2 took 89681ms
********** Factor found in step 2: 3303258174737052152437657497734399871388360043
Found probable prime factor of 46 digits: 3303258174737052152437657497734399871388360043
Probable prime cofactor 277672239321038177387783564205201197243734699065269909906632005088411286221102565783690689734747275313434128530529475473351150169 has 129 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 23, 2009 02:00:00 UTC 2009 年 12 月 23 日 (水) 11 時 0 分 0 秒 (日本時間)
403e60--
4511e6809 / 2370232Dmitry DomanovDecember 26, 2009 18:14:43 UTC 2009 年 12 月 27 日 (日) 3 時 14 分 43 秒 (日本時間)
577Dmitry DomanovDecember 29, 2009 21:22:28 UTC 2009 年 12 月 30 日 (水) 6 時 22 分 28 秒 (日本時間)
5043e6600 / 7371200Dmitry DomanovJune 11, 2011 09:09:00 UTC 2011 年 6 月 11 日 (土) 18 時 9 分 0 秒 (日本時間)
400Dmitry DomanovJune 25, 2011 21:46:07 UTC 2011 年 6 月 26 日 (日) 6 時 46 分 7 秒 (日本時間)

2×10232+9

c169

composite cofactor 合成数の残り
5692138820981647145598644020442888386091603585079441314627842965886036788191654953913900564073220128074518028099154918934320189673146164090638777342373105447226758181337<169>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 23, 2009 02:00:00 UTC 2009 年 12 月 23 日 (水) 11 時 0 分 0 秒 (日本時間)
403e60--
4511e61130 / 2230Dmitry DomanovDecember 29, 2009 06:28:00 UTC 2009 年 12 月 29 日 (火) 15 時 28 分 0 秒 (日本時間)
5043e6640 / 7299240Dmitry DomanovMay 27, 2011 22:43:19 UTC 2011 年 5 月 28 日 (土) 7 時 43 分 19 秒 (日本時間)
400Dmitry DomanovJune 24, 2011 23:27:17 UTC 2011 年 6 月 25 日 (土) 8 時 27 分 17 秒 (日本時間)

2×10234+9

c106

name 名前Sinkiti Sibata
date 日付December 26, 2009 00:12:37 UTC 2009 年 12 月 26 日 (土) 9 時 12 分 37 秒 (日本時間)
composite number 合成数
4081671157689495451002320427478185479062625058013970660200302602803251158698157130376845326821666690605307<106>
prime factors 素因数
4421646001155731662524341299889414727107084802590443<52>
923111247852638260463789169912288203586464742324595249<54>
factorization results 素因数分解の結果
Number: 20009_234
N=4081671157689495451002320427478185479062625058013970660200302602803251158698157130376845326821666690605307
  ( 106 digits)
Divisors found:
 r1=4421646001155731662524341299889414727107084802590443 (pp52)
 r2=923111247852638260463789169912288203586464742324595249 (pp54)
Version: Msieve-1.40
Total time: 9.09 hours.
Scaled time: 30.30 units (timescale=3.333).
Factorization parameters were as follows:
name: 20009_234
n: 4081671157689495451002320427478185479062625058013970660200302602803251158698157130376845326821666690605307
skew: 5227.48
# norm 2.82e+14
c5: 447180
c4: 4762122818
c3: -12903767621588
c2: -188566052319945831
c1: 258817026744121798005
c0: 489303287558624884234365
# alpha -5.68
Y1: 228435784339
Y0: -98190388035999720407
# Murphy_E 1.67e-09
# M 912139391631407218912303459389075224416911338056911672306885508693816487338766124197096291587759584551275
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 275751 x 275999
Polynomial selection time: 0.97 hours.
Total sieving time: 7.91 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,105,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 9.09 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 23, 2009 02:00:00 UTC 2009 年 12 月 23 日 (水) 11 時 0 分 0 秒 (日本時間)

2×10235+9

c184

composite cofactor 合成数の残り
1077701388235713140657768167225997210775897574734278788245136540226913285517350939506154941640102108022207364856469909939766859083984229537100369171781109255856912568500608122864937767<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 23, 2009 02:00:00 UTC 2009 年 12 月 23 日 (水) 11 時 0 分 0 秒 (日本時間)
403e60--
4511e61055 / 2370Dmitry DomanovDecember 29, 2009 06:27:26 UTC 2009 年 12 月 29 日 (火) 15 時 27 分 26 秒 (日本時間)
5043e6600 / 7316240Dmitry DomanovMay 27, 2011 22:42:25 UTC 2011 年 5 月 28 日 (土) 7 時 42 分 25 秒 (日本時間)
360Dmitry DomanovJune 24, 2011 23:26:38 UTC 2011 年 6 月 25 日 (土) 8 時 26 分 38 秒 (日本時間)

2×10236+9

c192

name 名前Dmitry Domanov
date 日付December 26, 2009 18:14:01 UTC 2009 年 12 月 27 日 (日) 3 時 14 分 1 秒 (日本時間)
composite number 合成数
189880257956101599938485652038956632179132761008358764143430368987023428721597650138446518733051155090763036802959157476671332075821165815420461841252437445965432407059465537887955428687744611<192>
prime factors 素因数
1621538670024234287528298561381857<34>
composite cofactor 合成数の残り
117098815752117581980530614048280187555582803440778045542092028045520633300570987039138508825936717768032379425461484880728406097864186809255527187439657366723<159>
factorization results 素因数分解の結果
Factor=1621538670024234287528298561381857  Method=ECM  B1=11000000  Sigma=632518576
software ソフトウェア
ECMNET

c159

name 名前Dmitry Domanov
date 日付January 18, 2010 22:35:33 UTC 2010 年 1 月 19 日 (火) 7 時 35 分 33 秒 (日本時間)
composite number 合成数
117098815752117581980530614048280187555582803440778045542092028045520633300570987039138508825936717768032379425461484880728406097864186809255527187439657366723<159>
prime factors 素因数
30519099161701331079343499675023210273173803<44>
121787190834203474711890632339036435768265158458770793<54>
31504977920459959354093897455365246373050907956577825056535137<62>
factorization results 素因数分解の結果
Factor=30519099161701331079343499675023210273173803  Method=ECM  B1=11000000  Sigma=569188867

c115 was done by gnfs
N=3836902758226424009218403191944630777287861751047523215911424224626168116818931942866589079681139327258540633853641
  ( 115 digits)
Divisors found:
 r1=121787190834203474711890632339036435768265158458770793 (pp54)
 r2=31504977920459959354093897455365246373050907956577825056535137 (pp62)
Version: Msieve-1.40
Total time: 21.20 hours.
Scaled time: 38.65 units (timescale=1.823).
Factorization parameters were as follows:
name: 209
n: 3836902758226424009218403191944630777287861751047523215911424224626168116818931942866589079681139327258540633853641
skew: 38122.83
# norm 2.42e+016
c5: 64260
c4: -10782249432
c3: -19336426220689
c2: -12254414308325656168
c1: -113164487369025262486396
c0: 2447746554590389313476313280
# alpha -7.14
Y1: 462316530253
Y0: -9020046185629300120631
# Murphy_E 5.68e-010
# M 884818244429731720054751745570981882583306924222124122288207390488226622109037684536737912283569813713143725779951
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 533754 x 534002
Total sieving time: 20.46 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.36 hours.
Time per square root: 0.32 hours.
Prototype def-par.txt line would be:
gnfs,114,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 21.20 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
ECMNET/GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 23, 2009 02:00:00 UTC 2009 年 12 月 23 日 (水) 11 時 0 分 0 秒 (日本時間)
403e60--
4511e6715 / 4475193Dmitry DomanovDecember 26, 2009 18:13:31 UTC 2009 年 12 月 27 日 (日) 3 時 13 分 31 秒 (日本時間)
522Dmitry DomanovDecember 29, 2009 18:52:43 UTC 2009 年 12 月 30 日 (水) 3 時 52 分 43 秒 (日本時間)

2×10237+9

c210

composite cofactor 合成数の残り
643291565499724240895733377296104690110778157002496454454133540173643658765255796487592497523162306319278095263157985043724681927011144675044971061359930179279612996859594500019974301027789660391213923342100489<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 23, 2009 02:00:00 UTC 2009 年 12 月 23 日 (水) 11 時 0 分 0 秒 (日本時間)
403e60--
4511e61046 / 2721Dmitry DomanovDecember 29, 2009 06:26:46 UTC 2009 年 12 月 29 日 (火) 15 時 26 分 46 秒 (日本時間)
5043e6500 / 7318180Dmitry DomanovMay 27, 2011 21:53:19 UTC 2011 年 5 月 28 日 (土) 6 時 53 分 19 秒 (日本時間)
320Dmitry DomanovJune 24, 2011 23:25:35 UTC 2011 年 6 月 25 日 (土) 8 時 25 分 35 秒 (日本時間)

2×10238+9

c212

name 名前Dmitry Domanov
date 日付December 26, 2009 18:12:51 UTC 2009 年 12 月 27 日 (日) 3 時 12 分 51 秒 (日本時間)
composite number 合成数
80756885611369019259834858501002855289837790234024149666370598369926237713237719554111482706078815455438306905240388873580364925954641224101839060619552693310053424426707173501186340762465432174696920180267889627<212>
prime factors 素因数
934803133267021438680222877011857<33>
composite cofactor 合成数の残り
86389190127266350770385031495384179967873028613332220537337837050627344935518971489006603171048516781100773290444922675961442798454864564423577019533963800409624412975235359485611<179>
factorization results 素因数分解の結果
Factor=934803133267021438680222877011857  Method=ECM  B1=11000000  Sigma=3043688549
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 23, 2009 02:00:00 UTC 2009 年 12 月 23 日 (水) 11 時 0 分 0 秒 (日本時間)
403e60--
4511e6630 / 2756236Dmitry DomanovDecember 26, 2009 18:12:22 UTC 2009 年 12 月 27 日 (日) 3 時 12 分 22 秒 (日本時間)
394Dmitry DomanovDecember 29, 2009 18:53:09 UTC 2009 年 12 月 30 日 (水) 3 時 53 分 9 秒 (日本時間)
5043e6490 / 741110Dmitry DomanovJanuary 16, 2011 10:43:20 UTC 2011 年 1 月 16 日 (日) 19 時 43 分 20 秒 (日本時間)
10Dmitry DomanovJanuary 16, 2011 10:43:38 UTC 2011 年 1 月 16 日 (日) 19 時 43 分 38 秒 (日本時間)
200Dmitry DomanovMay 27, 2011 21:52:19 UTC 2011 年 5 月 28 日 (土) 6 時 52 分 19 秒 (日本時間)
270Dmitry DomanovJune 24, 2011 23:24:47 UTC 2011 年 6 月 25 日 (土) 8 時 24 分 47 秒 (日本時間)

2×10239+9

c234

composite cofactor 合成数の残り
164929002187783214020944333987826590348519720973114098708358519366375759394974448374336057685567805199056935965490255582228240298257607556387164235475733583585605986263063407779536104195546422153923289871792440149326718580818921974563<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaDecember 23, 2009 02:00:00 UTC 2009 年 12 月 23 日 (水) 11 時 0 分 0 秒 (日本時間)
786Wataru SakaiDecember 27, 2009 04:30:20 UTC 2009 年 12 月 27 日 (日) 13 時 30 分 20 秒 (日本時間)
403e62318Wataru SakaiDecember 28, 2009 02:57:02 UTC 2009 年 12 月 28 日 (月) 11 時 57 分 2 秒 (日本時間)
4511e640451000Dmitry DomanovDecember 29, 2009 06:26:11 UTC 2009 年 12 月 29 日 (火) 15 時 26 分 11 秒 (日本時間)
3045Dmitry DomanovJanuary 26, 2010 15:22:50 UTC 2010 年 1 月 27 日 (水) 0 時 22 分 50 秒 (日本時間)
5043e60--
5511e72730 / 17497yoyo@homeJuly 31, 2010 00:16:17 UTC 2010 年 7 月 31 日 (土) 9 時 16 分 17 秒 (日本時間)

2×10240+9

c175

composite cofactor 合成数の残り
4637515836168100257953330325759694616565226497777848038399574526085866644199027391211153986749277087667978373453914070021966402375314552843762840646553708717389638754815407969<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 23, 2009 02:00:00 UTC 2009 年 12 月 23 日 (水) 11 時 0 分 0 秒 (日本時間)
403e60--
4511e61056 / 2265Dmitry DomanovDecember 29, 2009 06:25:31 UTC 2009 年 12 月 29 日 (火) 15 時 25 分 31 秒 (日本時間)
5043e6630 / 7316270Dmitry DomanovMay 3, 2011 21:13:10 UTC 2011 年 5 月 4 日 (水) 6 時 13 分 10 秒 (日本時間)
360Dmitry DomanovJune 24, 2011 23:24:14 UTC 2011 年 6 月 25 日 (土) 8 時 24 分 14 秒 (日本時間)

2×10241+9

c200

name 名前Serge Batalov
date 日付December 23, 2009 06:11:42 UTC 2009 年 12 月 23 日 (水) 15 時 11 分 42 秒 (日本時間)
composite number 合成数
84773485962246784306538256713523150680603694883578115621736316415624527578930512998583406063369458059519673697327438366772482417156137044969928619191941453282357783848983634627407301844841902099782087<200>
prime factors 素因数
105073858185151552219454459705794081<36>
composite cofactor 合成数の残り
806799021435633334778607190153883588562873305480699334566341552479925686226196132085236650925436195560862698365853607109043802721553143632271788112834805134902749927<165>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=3024908771
Step 1 took 12365ms
Step 2 took 6264ms
********** Factor found in step 2: 105073858185151552219454459705794081
Found probable prime factor of 36 digits: 105073858185151552219454459705794081
Composite cofactor has 165 digits

c165

name 名前RSALS + Zeta-Flux
date 日付March 24, 2010 07:04:59 UTC 2010 年 3 月 24 日 (水) 16 時 4 分 59 秒 (日本時間)
composite number 合成数
806799021435633334778607190153883588562873305480699334566341552479925686226196132085236650925436195560862698365853607109043802721553143632271788112834805134902749927<165>
prime factors 素因数
360921848171532022239564048151089455378639175197048821<54>
2235384268153789766641335938374128937734419910232176161534364900238255661012683284504122282010997625645608452587<112>
factorization results 素因数分解の結果
<sieving by the RSALS grid>

<filtering, linear algebra and square root by Zeta-Flux>
Tue Mar 16 14:16:26 2010  
Tue Mar 16 14:16:26 2010  
Tue Mar 16 14:16:26 2010  Msieve v. 1.44
Tue Mar 16 14:16:26 2010  random seeds: 3dacc8b6 64b5ed27
Tue Mar 16 14:16:26 2010  factoring 806799021435633334778607190153883588562873305480699334566341552479925686226196132085236650925436195560862698365853607109043802721553143632271788112834805134902749927 (165 digits)
Tue Mar 16 14:16:27 2010  no P-1/P+1/ECM available, skipping
Tue Mar 16 14:16:27 2010  commencing number field sieve (165-digit input)
Tue Mar 16 14:16:27 2010  R0: -105031551465503527641612451949396
Tue Mar 16 14:16:27 2010  R1:  555064462304368393
Tue Mar 16 14:16:27 2010  A0: -49279036762620170609239445491104087852765
Tue Mar 16 14:16:27 2010  A1:  21403442048470123272259268213493723
Tue Mar 16 14:16:27 2010  A2:  10087179455085281570650851779
Tue Mar 16 14:16:27 2010  A3:  1941134491004150858837
Tue Mar 16 14:16:27 2010  A4: -14598255020134
Tue Mar 16 14:16:27 2010  A5:  63120
Tue Mar 16 14:16:27 2010  skew 23799037.56, size 3.611038e-16, alpha -8.373226, combined = 5.830865e-13
Tue Mar 16 14:16:27 2010  
Tue Mar 16 14:16:27 2010  commencing relation filtering
Tue Mar 16 14:16:27 2010  estimated available RAM is 24097.4 MB
Tue Mar 16 14:16:27 2010  commencing duplicate removal, pass 1
[snip errors reading relations]
Tue Mar 16 14:28:08 2010  found 23611684 hash collisions in 103730833 relations
Tue Mar 16 14:28:43 2010  added 122136 free relations
Tue Mar 16 14:28:43 2010  commencing duplicate removal, pass 2
Tue Mar 16 14:29:39 2010  found 25041306 duplicates and 78811663 unique relations
Tue Mar 16 14:29:39 2010  memory use: 660.8 MB
Tue Mar 16 14:29:39 2010  reading ideals above 68616192
Tue Mar 16 14:29:39 2010  commencing singleton removal, initial pass
Tue Mar 16 14:39:21 2010  memory use: 1506.0 MB
Tue Mar 16 14:39:21 2010  reading all ideals from disk
Tue Mar 16 14:39:39 2010  memory use: 1489.1 MB
Tue Mar 16 14:39:43 2010  commencing in-memory singleton removal
Tue Mar 16 14:39:46 2010  begin with 78811663 relations and 76594844 unique ideals
Tue Mar 16 14:40:31 2010  reduce to 37046663 relations and 28759514 ideals in 20 passes
Tue Mar 16 14:40:31 2010  max relations containing the same ideal: 27
Tue Mar 16 14:40:35 2010  reading ideals above 720000
Tue Mar 16 14:40:35 2010  commencing singleton removal, initial pass
Tue Mar 16 14:46:15 2010  memory use: 753.0 MB
Tue Mar 16 14:46:16 2010  reading all ideals from disk
Tue Mar 16 14:46:32 2010  memory use: 1399.2 MB
Tue Mar 16 14:46:37 2010  keeping 36627928 ideals with weight <= 200, target excess is 202909
Tue Mar 16 14:46:43 2010  commencing in-memory singleton removal
Tue Mar 16 14:46:47 2010  begin with 37046673 relations and 36627928 unique ideals
Tue Mar 16 14:47:52 2010  reduce to 36910218 relations and 36491385 ideals in 12 passes
Tue Mar 16 14:47:52 2010  max relations containing the same ideal: 200
Tue Mar 16 14:48:14 2010  removing 1299004 relations and 1207275 ideals in 91729 cliques
Tue Mar 16 14:48:15 2010  commencing in-memory singleton removal
Tue Mar 16 14:48:19 2010  begin with 35611214 relations and 36491385 unique ideals
Tue Mar 16 14:49:01 2010  reduce to 35579415 relations and 35252192 ideals in 8 passes
Tue Mar 16 14:49:01 2010  max relations containing the same ideal: 200
Tue Mar 16 14:49:22 2010  removing 945780 relations and 854051 ideals in 91729 cliques
Tue Mar 16 14:49:23 2010  commencing in-memory singleton removal
Tue Mar 16 14:49:28 2010  begin with 34633635 relations and 35252192 unique ideals
Tue Mar 16 14:50:07 2010  reduce to 34615564 relations and 34380011 ideals in 8 passes
Tue Mar 16 14:50:07 2010  max relations containing the same ideal: 198
Tue Mar 16 14:50:36 2010  relations with 0 large ideals: 627
Tue Mar 16 14:50:36 2010  relations with 1 large ideals: 638
Tue Mar 16 14:50:36 2010  relations with 2 large ideals: 9964
Tue Mar 16 14:50:36 2010  relations with 3 large ideals: 113763
Tue Mar 16 14:50:36 2010  relations with 4 large ideals: 717599
Tue Mar 16 14:50:36 2010  relations with 5 large ideals: 2716542
Tue Mar 16 14:50:36 2010  relations with 6 large ideals: 6473817
Tue Mar 16 14:50:36 2010  relations with 7+ large ideals: 24582614
Tue Mar 16 14:50:36 2010  commencing 2-way merge
Tue Mar 16 14:51:08 2010  reduce to 21178510 relation sets and 20942957 unique ideals
Tue Mar 16 14:51:08 2010  commencing full merge
Tue Mar 16 14:58:08 2010  memory use: 2372.7 MB
Tue Mar 16 14:58:10 2010  found 11412809 cycles, need 11387157
Tue Mar 16 14:58:15 2010  weight of 11387157 cycles is about 797220424 (70.01/cycle)
Tue Mar 16 14:58:15 2010  distribution of cycle lengths:
Tue Mar 16 14:58:15 2010  1 relations: 1725072
Tue Mar 16 14:58:15 2010  2 relations: 1717068
Tue Mar 16 14:58:15 2010  3 relations: 1577240
Tue Mar 16 14:58:15 2010  4 relations: 1317461
Tue Mar 16 14:58:15 2010  5 relations: 1065050
Tue Mar 16 14:58:15 2010  6 relations: 859947
Tue Mar 16 14:58:15 2010  7 relations: 679712
Tue Mar 16 14:58:15 2010  8 relations: 529851
Tue Mar 16 14:58:15 2010  9 relations: 414949
Tue Mar 16 14:58:15 2010  10+ relations: 1500807
Tue Mar 16 14:58:15 2010  heaviest cycle: 26 relations
Tue Mar 16 14:58:18 2010  commencing cycle optimization
Tue Mar 16 14:58:34 2010  start with 58252585 relations
Tue Mar 16 15:00:03 2010  pruned 1133591 relations
Tue Mar 16 15:00:05 2010  memory use: 2012.2 MB
Tue Mar 16 15:00:05 2010  distribution of cycle lengths:
Tue Mar 16 15:00:05 2010  1 relations: 1725072
Tue Mar 16 15:00:05 2010  2 relations: 1753028
Tue Mar 16 15:00:05 2010  3 relations: 1629439
Tue Mar 16 15:00:05 2010  4 relations: 1335577
Tue Mar 16 15:00:05 2010  5 relations: 1075703
Tue Mar 16 15:00:05 2010  6 relations: 855066
Tue Mar 16 15:00:05 2010  7 relations: 671329
Tue Mar 16 15:00:05 2010  8 relations: 518955
Tue Mar 16 15:00:05 2010  9 relations: 402347
Tue Mar 16 15:00:05 2010  10+ relations: 1420641
Tue Mar 16 15:00:05 2010  heaviest cycle: 26 relations
Tue Mar 16 15:00:29 2010  RelProcTime: 2642
Tue Mar 16 15:00:34 2010  
Tue Mar 16 15:00:34 2010  commencing linear algebra
Tue Mar 16 15:00:35 2010  read 11387157 cycles
Tue Mar 16 15:00:52 2010  cycles contain 34329107 unique relations
Tue Mar 16 15:04:37 2010  read 34329107 relations
Tue Mar 16 15:05:38 2010  using 20 quadratic characters above 1073741718
Tue Mar 16 15:08:06 2010  building initial matrix
Tue Mar 16 15:15:32 2010  memory use: 4763.0 MB
Tue Mar 16 15:15:37 2010  read 11387157 cycles
Tue Mar 16 15:16:22 2010  matrix is 11386979 x 11387157 (3472.3 MB) with weight 1081685015 (94.99/col)
Tue Mar 16 15:16:22 2010  sparse part has weight 773604280 (67.94/col)
Tue Mar 16 15:18:30 2010  filtering completed in 2 passes
Tue Mar 16 15:18:33 2010  matrix is 11381353 x 11381531 (3471.9 MB) with weight 1081484069 (95.02/col)
Tue Mar 16 15:18:33 2010  sparse part has weight 773565924 (67.97/col)
Tue Mar 16 15:19:25 2010  read 11381531 cycles
Tue Mar 16 15:20:13 2010  matrix is 11381353 x 11381531 (3471.9 MB) with weight 1081484069 (95.02/col)
Tue Mar 16 15:20:13 2010  sparse part has weight 773565924 (67.97/col)
Tue Mar 16 15:20:13 2010  saving the first 48 matrix rows for later
Tue Mar 16 15:20:17 2010  matrix is 11381305 x 11381531 (3350.9 MB) with weight 866395695 (76.12/col)
Tue Mar 16 15:20:17 2010  sparse part has weight 764600916 (67.18/col)
Tue Mar 16 15:20:17 2010  matrix includes 64 packed rows
Tue Mar 16 15:20:17 2010  using block size 65536 for processor cache size 8192 kB
Tue Mar 16 15:21:03 2010  commencing Lanczos iteration (4 threads)
Tue Mar 16 15:21:03 2010  memory use: 3576.9 MB
Tue Mar 16 15:21:47 2010  linear algebra at 0.0%, ETA 170h46m
Tue Mar 23 08:07:19 2010  lanczos halted after 179973 iterations (dim = 11381305)
Tue Mar 23 08:07:32 2010  recovered 31 nontrivial dependencies
Tue Mar 23 08:07:33 2010  BLanczosTime: 580019
Tue Mar 23 08:07:33 2010  
Tue Mar 23 08:07:33 2010  commencing square root phase
Tue Mar 23 08:07:33 2010  reading relations for dependency 1
Tue Mar 23 08:07:34 2010  read 5691556 cycles
Tue Mar 23 08:07:42 2010  cycles contain 17168966 unique relations
Tue Mar 23 08:10:18 2010  read 17168966 relations
Tue Mar 23 08:11:57 2010  multiplying 17168966 relations
Tue Mar 23 08:38:50 2010  multiply complete, coefficients have about 945.30 million bits
Tue Mar 23 08:38:58 2010  initial square root is modulo 302499481
Tue Mar 23 09:35:18 2010  reading relations for dependency 2
Tue Mar 23 09:35:21 2010  read 5690613 cycles
Tue Mar 23 09:35:29 2010  cycles contain 17169584 unique relations
Tue Mar 23 09:37:47 2010  read 17169584 relations
Tue Mar 23 09:39:26 2010  multiplying 17169584 relations
Tue Mar 23 10:05:38 2010  multiply complete, coefficients have about 945.34 million bits
Tue Mar 23 10:05:46 2010  initial square root is modulo 302757053
Tue Mar 23 11:02:13 2010  reading relations for dependency 3
Tue Mar 23 11:02:14 2010  read 5689536 cycles
Tue Mar 23 11:02:22 2010  cycles contain 17157680 unique relations
Tue Mar 23 11:04:22 2010  read 17157680 relations
Tue Mar 23 11:06:02 2010  multiplying 17157680 relations
Tue Mar 23 11:32:08 2010  multiply complete, coefficients have about 944.67 million bits
Tue Mar 23 11:32:16 2010  initial square root is modulo 298629571
Tue Mar 23 12:29:34 2010  sqrtTime: 15721
Tue Mar 23 12:29:34 2010  prp54 factor: 360921848171532022239564048151089455378639175197048821
Tue Mar 23 12:29:34 2010  prp112 factor: 2235384268153789766641335938374128937734419910232176161534364900238255661012683284504122282010997625645608452587
Tue Mar 23 12:29:34 2010  elapsed time 166:13:08
software ソフトウェア
ggnfs-lasieve4I14e on the RSALS grid + msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 23, 2009 02:00:00 UTC 2009 年 12 月 23 日 (水) 11 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiDecember 27, 2009 04:29:30 UTC 2009 年 12 月 27 日 (日) 13 時 29 分 30 秒 (日本時間)
4511e642401120Dmitry DomanovDecember 29, 2009 06:25:01 UTC 2009 年 12 月 29 日 (火) 15 時 25 分 1 秒 (日本時間)
3120Dmitry DomanovJanuary 26, 2010 15:21:48 UTC 2010 年 1 月 27 日 (水) 0 時 21 分 48 秒 (日本時間)
5043e60 / 6499--
5511e70 / 17479--
6026e73 / 41947RSALS ProjectFebruary 1, 2010 16:04:12 UTC 2010 年 2 月 2 日 (火) 1 時 4 分 12 秒 (日本時間)

2×10242+9

c140

name 名前Markus Tervooren
date 日付June 23, 2010 18:12:06 UTC 2010 年 6 月 24 日 (木) 3 時 12 分 6 秒 (日本時間)
composite number 合成数
46003008534069625509266964325926913876573109967671489143661349785921204539858616828197556583761332334069195795706930541652671778074526554657<140>
prime factors 素因数
73147444517773675356349288592153293437883820279811737<53>
628907938443312534074168851758506121332113148472747784772194406259082816737024575145161<87>
factorization results 素因数分解の結果
Sieving took about 24 CPU-Days @ Core 2 3.0Ghz

Msieve v. 1.44
Wed Jun 23 09:49:47 2010
random seeds: 608af805 e06d1f93
factoring 46003008534069625509266964325926913876573109967671489143661349785921204539858616828197556583761332334069195795706930541652671778074526554657 (140 digits)
searching for 15-digit factors
commencing number field sieve (140-digit input)
R0: -1136151543199080143228521261
R1:  3629043275571073
A0: -25790591886595288366036413178288800
A1:  106022646590807573861519752112
A2:  5808262306619727941642
A3: -169127247856138227
A4: -23686655382
A5:  24300
skew 1333209.48, size 1.786098e-13, alpha -6.539234, combined = 2.282807e-11

commencing relation filtering
estimated available RAM is 8010.2 MB
commencing duplicate removal, pass 1
error -9 reading relation 7688932
error -15 reading relation 7738214
error -15 reading relation 7787212
error -15 reading relation 7837115
read 10M relations
read 20M relations
found 3199713 hash collisions in 23431009 relations
added 120611 free relations
commencing duplicate removal, pass 2
found 2875794 duplicates and 20675826 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 689.0 MB
reading all ideals from disk
memory use: 676.4 MB
keeping 22271221 ideals with weight <= 200, target excess is 129928
commencing in-memory singleton removal
begin with 20675826 relations and 22271221 unique ideals
reduce to 8776056 relations and 8475091 ideals in 20 passes
max relations containing the same ideal: 116
removing 852427 relations and 777303 ideals in 75124 cliques
commencing in-memory singleton removal
begin with 7923629 relations and 8475091 unique ideals
reduce to 7860799 relations and 7634175 ideals in 9 passes
max relations containing the same ideal: 108
removing 620659 relations and 545535 ideals in 75124 cliques
commencing in-memory singleton removal
begin with 7240140 relations and 7634175 unique ideals
reduce to 7200353 relations and 7048458 ideals in 9 passes
max relations containing the same ideal: 98
relations with 0 large ideals: 497
relations with 1 large ideals: 971
relations with 2 large ideals: 16948
relations with 3 large ideals: 134781
relations with 4 large ideals: 567866
relations with 5 large ideals: 1384170
relations with 6 large ideals: 2031585
relations with 7+ large ideals: 3063535
commencing 2-way merge
reduce to 4214515 relation sets and 4062620 unique ideals
commencing full merge
memory use: 466.6 MB
found 2169835 cycles, need 2150820
weight of 2150820 cycles is about 150747605 (70.09/cycle)
distribution of cycle lengths:
1 relations: 298965
2 relations: 281324
3 relations: 271666
4 relations: 235552
5 relations: 198075
6 relations: 167616
7 relations: 139204
8 relations: 114076
9 relations: 92786
10+ relations: 351556
heaviest cycle: 22 relations
commencing cycle optimization
start with 11859979 relations
pruned 230736 relations
memory use: 410.5 MB
distribution of cycle lengths:
1 relations: 298965
2 relations: 287345
3 relations: 280248
4 relations: 239400
5 relations: 200802
6 relations: 168014
7 relations: 138932
8 relations: 112297
9 relations: 91360
10+ relations: 333457
heaviest cycle: 22 relations
RelProcTime: 718

commencing linear algebra
read 2150820 cycles
cycles contain 7023515 unique relations
read 7023515 relations
using 20 quadratic characters above 268435040
building initial matrix
memory use: 895.6 MB
read 2150820 cycles
matrix is 2150638 x 2150820 (647.3 MB) with weight 199314576 (92.67/col)
sparse part has weight 146015747 (67.89/col)
filtering completed in 2 passes
matrix is 2146321 x 2146502 (646.9 MB) with weight 199154772 (92.78/col)
sparse part has weight 145968445 (68.00/col)
read 2146502 cycles
matrix is 2146321 x 2146502 (646.9 MB) with weight 199154772 (92.78/col)
sparse part has weight 145968445 (68.00/col)
saving the first 48 matrix rows for later
matrix is 2146273 x 2146502 (622.8 MB) with weight 159308261 (74.22/col)
sparse part has weight 141802297 (66.06/col)
matrix includes 64 packed rows
using block size 65536 for processor cache size 4096 kB
commencing Lanczos iteration (4 threads)
memory use: 659.6 MB
linear algebra at 0.0%, ETA 7h 4m146502 dimensions (0.0%, ETA 7h 4m)
^Cnear algebra completed 1765273 of 2146502 dimensions (82.2%, ETA 1h20m)
received signal 2; shutting down
linear algebra completed 1765525 of 2146502 dimensions (82.3%, ETA 1h20m)
lanczos halted after 27920 iterations (dim = 1765525)
BLanczosTime: 22683

Msieve v. 1.44
Wed Jun 23 16:22:03 2010
random seeds: 27d82699 b3187345
factoring 46003008534069625509266964325926913876573109967671489143661349785921204539858616828197556583761332334069195795706930541652671778074526554657 (140 digits)
searching for 15-digit factors
commencing number field sieve (140-digit input)
R0: -1136151543199080143228521261
R1:  3629043275571073
A0: -25790591886595288366036413178288800
A1:  106022646590807573861519752112
A2:  5808262306619727941642
A3: -169127247856138227
A4: -23686655382
A5:  24300
skew 1333209.48, size 1.786098e-13, alpha -6.539234, combined = 2.282807e-11

commencing linear algebra
read 2146502 cycles
matrix is 2146321 x 2146502 (646.9 MB) with weight 199154772 (92.78/col)
sparse part has weight 145968445 (68.00/col)
saving the first 48 matrix rows for later
matrix is 2146273 x 2146502 (622.8 MB) with weight 159308261 (74.22/col)
sparse part has weight 141802297 (66.06/col)
matrix includes 64 packed rows
using block size 65536 for processor cache size 4096 kB
commencing Lanczos iteration (2 threads)
memory use: 626.8 MB
restarting at iteration 27982 (dim = 1769444)
linear algebra at 82.5%, ETA 1h22mf 2146502 dimensions (82.5%, ETA 1h22m)
linear algebra completed 2146090 of 2146502 dimensions (100.0%, ETA 0h 0m)
lanczos halted after 33942 iterations (dim = 2146271)
recovered 26 nontrivial dependencies
BLanczosTime: 5736
elapsed time 01:35:38

Msieve v. 1.44
Wed Jun 23 18:37:17 2010
random seeds: c5b66575 c56b6b87
factoring 46003008534069625509266964325926913876573109967671489143661349785921204539858616828197556583761332334069195795706930541652671778074526554657 (140 digits)
searching for 15-digit factors
commencing number field sieve (140-digit input)
R0: -1136151543199080143228521261
R1:  3629043275571073
A0: -25790591886595288366036413178288800
A1:  106022646590807573861519752112
A2:  5808262306619727941642
A3: -169127247856138227
A4: -23686655382
A5:  24300
skew 1333209.48, size 1.786098e-13, alpha -6.539234, combined = 2.282807e-11

commencing square root phase
reading relations for dependency 1
read 1072120 cycles
cycles contain 3509658 unique relations
read 3509658 relations
multiplying 3509658 relations
multiply complete, coefficients have about 169.86 million bits
initial square root is modulo 1246829
reading relations for dependency 2
read 1072334 cycles
cycles contain 3509502 unique relations
read 3509502 relations
multiplying 3509502 relations
multiply complete, coefficients have about 169.85 million bits
initial square root is modulo 1246459
reading relations for dependency 3
read 1073528 cycles
cycles contain 3510938 unique relations
read 3510938 relations
multiplying 3510938 relations
multiply complete, coefficients have about 169.92 million bits
initial square root is modulo 1252903
reading relations for dependency 4
read 1072801 cycles
cycles contain 3512518 unique relations
read 3512518 relations
multiplying 3512518 relations
multiply complete, coefficients have about 170.01 million bits
initial square root is modulo 1262363
reading relations for dependency 5
read 1071870 cycles
cycles contain 3509020 unique relations
read 3509020 relations
multiplying 3509020 relations
multiply complete, coefficients have about 169.83 million bits
initial square root is modulo 1243969
sqrtTime: 4679
prp53 factor: 73147444517773675356349288592153293437883820279811737
prp87 factor: 628907938443312534074168851758506121332113148472747784772194406259082816737024575145161
elapsed time 01:18:00

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 23, 2009 02:00:00 UTC 2009 年 12 月 23 日 (水) 11 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiDecember 25, 2009 01:48:30 UTC 2009 年 12 月 25 日 (金) 10 時 48 分 30 秒 (日本時間)
4511e639661148Dmitry DomanovDecember 29, 2009 06:24:36 UTC 2009 年 12 月 29 日 (火) 15 時 24 分 36 秒 (日本時間)
1809Dmitry DomanovJanuary 19, 2010 20:30:41 UTC 2010 年 1 月 20 日 (水) 5 時 30 分 41 秒 (日本時間)
1009Dmitry DomanovApril 1, 2010 18:01:55 UTC 2010 年 4 月 2 日 (金) 3 時 1 分 55 秒 (日本時間)
5043e62000 / 6575Wataru SakaiMay 17, 2010 01:13:06 UTC 2010 年 5 月 17 日 (月) 10 時 13 分 6 秒 (日本時間)

2×10243+9

c236

name 名前Serge Batalov
date 日付December 23, 2009 05:49:40 UTC 2009 年 12 月 23 日 (水) 14 時 49 分 40 秒 (日本時間)
composite number 合成数
72918906264532510146939252608190783859648022627028289509496028635837841332032994784220013257386347954655669815025516695166413522606993820013315721472966281677932576918781719040610325411921635947329069789190348205642545177546416620931321<236>
prime factors 素因数
275090641212239281388428941781<30>
composite cofactor 合成数の残り
265072290148445136560818600872536028741814594689355689084826099010496505157655840038152578998319195828775892660393313465582532270823126127399141068370073694442972122406251271400377317474155401123483513864341<207>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1128384573
Step 1 took 12352ms
Step 2 took 5633ms
********** Factor found in step 2: 275090641212239281388428941781
Found probable prime factor of 30 digits: 275090641212239281388428941781
Composite cofactor has 207 digits

c207

name 名前Dmitry Domanov
date 日付June 25, 2011 07:52:01 UTC 2011 年 6 月 25 日 (土) 16 時 52 分 1 秒 (日本時間)
composite number 合成数
265072290148445136560818600872536028741814594689355689084826099010496505157655840038152578998319195828775892660393313465582532270823126127399141068370073694442972122406251271400377317474155401123483513864341<207>
prime factors 素因数
2152585623621383922763148657303616437647<40>
123141345570497236474337703058822767653445913462444776390912934132710520410688756774307314328791237633003420422816480205730722695898675938576097017595328324890030626203<168>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=847426820
Step 1 took 362789ms
Step 2 took 97425ms
********** Factor found in step 2: 2152585623621383922763148657303616437647
Found probable prime factor of 40 digits: 2152585623621383922763148657303616437647
Probable prime cofactor 123141345570497236474337703058822767653445913462444776390912934132710520410688756774307314328791237633003420422816480205730722695898675938576097017595328324890030626203 has 168 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 23, 2009 02:00:00 UTC 2009 年 12 月 23 日 (水) 11 時 0 分 0 秒 (日本時間)
403e60--
4511e61010 / 2651Dmitry DomanovDecember 29, 2009 06:24:05 UTC 2009 年 12 月 29 日 (火) 15 時 24 分 5 秒 (日本時間)
5043e6520 / 7326160Dmitry DomanovMay 3, 2011 21:12:21 UTC 2011 年 5 月 4 日 (水) 6 時 12 分 21 秒 (日本時間)
360Dmitry DomanovJune 24, 2011 23:23:02 UTC 2011 年 6 月 25 日 (土) 8 時 23 分 2 秒 (日本時間)

2×10245+9

c198

name 名前Serge Batalov
date 日付December 23, 2009 06:21:32 UTC 2009 年 12 月 23 日 (水) 15 時 21 分 32 秒 (日本時間)
composite number 合成数
108528779531879273772115103496879743898130483206016385662211641651833262843343578050527417977360845594106037220370754831670421656851681843547739328352765800462001873966545847116133328994726857673209<198>
prime factors 素因数
48780799114142980351071675283<29>
composite cofactor 合成数の残り
2224825781921510311089625162072229302525980695051171437726573831123721374767914069312979236788707893034386059250449392062243210924920047371675945471981646433600136489923<169>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=2117120045
Step 1 took 12313ms
Step 2 took 6164ms
********** Factor found in step 2: 48780799114142980351071675283
Found probable prime factor of 29 digits: 48780799114142980351071675283
Composite cofactor has 169 digits

c169

name 名前Dmitry Domanov
date 日付January 20, 2010 11:01:04 UTC 2010 年 1 月 20 日 (水) 20 時 1 分 4 秒 (日本時間)
composite number 合成数
2224825781921510311089625162072229302525980695051171437726573831123721374767914069312979236788707893034386059250449392062243210924920047371675945471981646433600136489923<169>
prime factors 素因数
82916067005458582299154335356811909133074686005106687<53>
26832263785196712127524216555213205918454258211800990466960970184341361385135540875950363230403637960429980842708029<116>
factorization results 素因数分解の結果
Factor=82916067005458582299154335356811909133074686005106687  Method=ECM  B1=11000000  Sigma=1340622085
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 23, 2009 02:00:00 UTC 2009 年 12 月 23 日 (水) 11 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiDecember 27, 2009 04:29:57 UTC 2009 年 12 月 27 日 (日) 13 時 29 分 57 秒 (日本時間)
4511e61084 / 3963Dmitry DomanovDecember 29, 2009 06:23:30 UTC 2009 年 12 月 29 日 (火) 15 時 23 分 30 秒 (日本時間)

2×10246+9

c226

composite cofactor 合成数の残り
2240984142321922775229363370030942297326581800389415160239473169538891002971234699931706448303103357818012590348564609641166019734011959465653256127578950549796673181960535648172555127172758468055134454013212452206273550023913<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 23, 2009 02:00:00 UTC 2009 年 12 月 23 日 (水) 11 時 0 分 0 秒 (日本時間)
403e60--
4511e61125 / 2510Dmitry DomanovDecember 29, 2009 06:22:21 UTC 2009 年 12 月 29 日 (火) 15 時 22 分 21 秒 (日本時間)
5043e6560 / 7300240Dmitry DomanovMay 27, 2011 21:50:39 UTC 2011 年 5 月 28 日 (土) 6 時 50 分 39 秒 (日本時間)
320Dmitry DomanovJune 24, 2011 23:22:00 UTC 2011 年 6 月 25 日 (土) 8 時 22 分 0 秒 (日本時間)

2×10247+9

c243

name 名前RSALS + Jeff Gilchrist
date 日付June 6, 2010 16:45:25 UTC 2010 年 6 月 7 日 (月) 1 時 45 分 25 秒 (日本時間)
composite number 合成数
276216387918295192453768282072175342163050533788169652105459416907205104478848730095156545637852693800323173173864405375170908890024445150330769124532158492963387517781429972240253014211333158396287651746378112613421354288949963401328600825887<243>
prime factors 素因数
3437661623705243995609921801789884146142456507556397059151887<61>
80350080419078169605944096638863837667669704493857648931424668314468462837174011259151601269570866568795942355366532856184140561377524685121550380921762692989316410704320819691702001<182>
factorization results 素因数分解の結果
<sieving by the RSALS grid>

<entire post-processing by Jeff Gilchrist>
Thu Apr 22 06:28:18 2010  
Thu Apr 22 06:28:18 2010  
Thu Apr 22 06:28:18 2010  Msieve v. 1.44
Thu Apr 22 06:28:18 2010  random seeds: 6dc5589a 4f606856
Thu Apr 22 06:28:18 2010  factoring 276216387918295192453768282072175342163050533788169652105459416907205104478848730095156545637852693800323173173864405375170908890024445150330769124532158492963387517781429972240253014211333158396287651746378112613421354288949963401328600825887 (243 digits)
Thu Apr 22 06:28:22 2010  no P-1/P+1/ECM available, skipping
Thu Apr 22 06:28:22 2010  commencing number field sieve (243-digit input)
Thu Apr 22 06:28:22 2010  R0: -100000000000000000000000000000000000000000
Thu Apr 22 06:28:22 2010  R1:  1
Thu Apr 22 06:28:22 2010  A0:  9
Thu Apr 22 06:28:22 2010  A1:  0
Thu Apr 22 06:28:22 2010  A2:  0
Thu Apr 22 06:28:22 2010  A3:  0
Thu Apr 22 06:28:22 2010  A4:  0
Thu Apr 22 06:28:22 2010  A5:  0
Thu Apr 22 06:28:22 2010  A6:  20
Thu Apr 22 06:28:22 2010  skew 0.88, size 2.717572e-12, alpha 1.535887, combined = 2.498357e-13
Thu Apr 22 06:28:22 2010  
Thu Apr 22 06:28:22 2010  commencing relation filtering
Thu Apr 22 06:28:22 2010  estimated available RAM is 32159.4 MB
Thu Apr 22 06:28:22 2010  commencing duplicate removal, pass 1
<snip errors reading relations>
Thu Apr 22 07:07:01 2010  found 51429638 hash collisions in 229454832 relations
Thu Apr 22 07:07:24 2010  commencing duplicate removal, pass 2
Thu Apr 22 07:12:12 2010  found 54500675 duplicates and 174954157 unique relations
Thu Apr 22 07:12:12 2010  memory use: 1321.5 MB
Thu Apr 22 07:12:13 2010  reading ideals above 159842304
Thu Apr 22 07:12:13 2010  commencing singleton removal, initial pass
Thu Apr 22 07:46:21 2010  memory use: 3012.0 MB
Thu Apr 22 07:46:22 2010  reading all ideals from disk
Thu Apr 22 07:46:37 2010  memory use: 3106.9 MB
Thu Apr 22 07:47:06 2010  commencing in-memory singleton removal
Thu Apr 22 07:47:34 2010  begin with 174954157 relations and 152434711 unique ideals
Thu Apr 22 07:52:23 2010  reduce to 100773638 relations and 69275314 ideals in 15 passes
Thu Apr 22 07:52:23 2010  max relations containing the same ideal: 31
Thu Apr 22 07:52:52 2010  reading ideals above 720000
Thu Apr 22 07:52:53 2010  commencing singleton removal, initial pass
Thu Apr 22 08:21:59 2010  memory use: 2756.0 MB
Thu Apr 22 08:21:59 2010  reading all ideals from disk
Thu Apr 22 08:22:18 2010  memory use: 3996.5 MB
Thu Apr 22 08:23:01 2010  keeping 86660053 ideals with weight <= 200, target excess is 536967
Thu Apr 22 08:23:48 2010  commencing in-memory singleton removal
Thu Apr 22 08:24:24 2010  begin with 100773640 relations and 86660053 unique ideals
Thu Apr 22 08:30:33 2010  reduce to 100712348 relations and 86598754 ideals in 10 passes
Thu Apr 22 08:30:33 2010  max relations containing the same ideal: 200
Thu Apr 22 08:33:19 2010  removing 3805215 relations and 3405215 ideals in 400000 cliques
Thu Apr 22 08:33:30 2010  commencing in-memory singleton removal
Thu Apr 22 08:34:06 2010  begin with 96907133 relations and 86598754 unique ideals
Thu Apr 22 08:38:44 2010  reduce to 96828623 relations and 83114610 ideals in 8 passes
Thu Apr 22 08:38:44 2010  max relations containing the same ideal: 200
Thu Apr 22 08:41:18 2010  removing 2807598 relations and 2407598 ideals in 400000 cliques
Thu Apr 22 08:41:28 2010  commencing in-memory singleton removal
Thu Apr 22 08:42:00 2010  begin with 94021025 relations and 83114610 unique ideals
Thu Apr 22 08:46:01 2010  reduce to 93974579 relations and 80660349 ideals in 7 passes
Thu Apr 22 08:46:01 2010  max relations containing the same ideal: 197
Thu Apr 22 08:48:31 2010  removing 2482245 relations and 2082245 ideals in 400000 cliques
Thu Apr 22 08:48:41 2010  commencing in-memory singleton removal
Thu Apr 22 08:49:13 2010  begin with 91492334 relations and 80660349 unique ideals
Thu Apr 22 08:52:30 2010  reduce to 91454896 relations and 78540509 ideals in 6 passes
Thu Apr 22 08:52:30 2010  max relations containing the same ideal: 195
Thu Apr 22 08:54:53 2010  removing 2292851 relations and 1892851 ideals in 400000 cliques
Thu Apr 22 08:55:02 2010  commencing in-memory singleton removal
Thu Apr 22 08:55:33 2010  begin with 89162045 relations and 78540509 unique ideals
Thu Apr 22 08:58:46 2010  reduce to 89128455 relations and 76613937 ideals in 6 passes
Thu Apr 22 08:58:46 2010  max relations containing the same ideal: 193
Thu Apr 22 09:01:09 2010  removing 2157673 relations and 1757673 ideals in 400000 cliques
Thu Apr 22 09:01:19 2010  commencing in-memory singleton removal
Thu Apr 22 09:01:50 2010  begin with 86970782 relations and 76613937 unique ideals
Thu Apr 22 09:04:56 2010  reduce to 86939405 relations and 74824760 ideals in 6 passes
Thu Apr 22 09:04:56 2010  max relations containing the same ideal: 190
Thu Apr 22 09:07:14 2010  removing 2060770 relations and 1660770 ideals in 400000 cliques
Thu Apr 22 09:07:23 2010  commencing in-memory singleton removal
Thu Apr 22 09:07:53 2010  begin with 84878635 relations and 74824760 unique ideals
Thu Apr 22 09:10:55 2010  reduce to 84850171 relations and 73135390 ideals in 6 passes
Thu Apr 22 09:10:55 2010  max relations containing the same ideal: 187
Thu Apr 22 09:13:08 2010  removing 1979219 relations and 1579219 ideals in 400000 cliques
Thu Apr 22 09:13:17 2010  commencing in-memory singleton removal
Thu Apr 22 09:13:48 2010  begin with 82870952 relations and 73135390 unique ideals
Thu Apr 22 09:16:45 2010  reduce to 82843593 relations and 71528694 ideals in 6 passes
Thu Apr 22 09:16:45 2010  max relations containing the same ideal: 184
Thu Apr 22 09:18:57 2010  removing 1911277 relations and 1511277 ideals in 400000 cliques
Thu Apr 22 09:19:04 2010  commencing in-memory singleton removal
Thu Apr 22 09:19:33 2010  begin with 80932316 relations and 71528694 unique ideals
Thu Apr 22 09:22:29 2010  reduce to 80905915 relations and 69990909 ideals in 6 passes
Thu Apr 22 09:22:29 2010  max relations containing the same ideal: 182
Thu Apr 22 09:24:35 2010  removing 1863298 relations and 1463298 ideals in 400000 cliques
Thu Apr 22 09:24:43 2010  commencing in-memory singleton removal
Thu Apr 22 09:25:11 2010  begin with 79042617 relations and 69990909 unique ideals
Thu Apr 22 09:28:03 2010  reduce to 79017125 relations and 68502013 ideals in 6 passes
Thu Apr 22 09:28:03 2010  max relations containing the same ideal: 178
Thu Apr 22 09:30:06 2010  removing 1808587 relations and 1408587 ideals in 400000 cliques
Thu Apr 22 09:30:14 2010  commencing in-memory singleton removal
Thu Apr 22 09:30:40 2010  begin with 77208538 relations and 68502013 unique ideals
Thu Apr 22 09:33:28 2010  reduce to 77183517 relations and 67068291 ideals in 6 passes
Thu Apr 22 09:33:28 2010  max relations containing the same ideal: 177
Thu Apr 22 09:35:31 2010  removing 1769773 relations and 1369773 ideals in 400000 cliques
Thu Apr 22 09:35:39 2010  commencing in-memory singleton removal
Thu Apr 22 09:36:05 2010  begin with 75413744 relations and 67068291 unique ideals
Thu Apr 22 09:38:47 2010  reduce to 75389539 relations and 65674212 ideals in 6 passes
Thu Apr 22 09:38:47 2010  max relations containing the same ideal: 173
Thu Apr 22 09:40:44 2010  removing 1730909 relations and 1330909 ideals in 400000 cliques
Thu Apr 22 09:40:52 2010  commencing in-memory singleton removal
Thu Apr 22 09:41:18 2010  begin with 73658630 relations and 65674212 unique ideals
Thu Apr 22 09:43:57 2010  reduce to 73634078 relations and 64318632 ideals in 6 passes
Thu Apr 22 09:43:57 2010  max relations containing the same ideal: 170
Thu Apr 22 09:45:53 2010  removing 1707133 relations and 1307133 ideals in 400000 cliques
Thu Apr 22 09:46:00 2010  commencing in-memory singleton removal
Thu Apr 22 09:46:25 2010  begin with 71926945 relations and 64318632 unique ideals
Thu Apr 22 09:48:32 2010  reduce to 71903140 relations and 62987589 ideals in 5 passes
Thu Apr 22 09:48:32 2010  max relations containing the same ideal: 168
Thu Apr 22 09:50:24 2010  removing 1671332 relations and 1271332 ideals in 400000 cliques
Thu Apr 22 09:50:31 2010  commencing in-memory singleton removal
Thu Apr 22 09:50:56 2010  begin with 70231808 relations and 62987589 unique ideals
Thu Apr 22 09:53:26 2010  reduce to 70206536 relations and 61690842 ideals in 6 passes
Thu Apr 22 09:53:26 2010  max relations containing the same ideal: 166
Thu Apr 22 09:55:18 2010  removing 1653818 relations and 1253818 ideals in 400000 cliques
Thu Apr 22 09:55:26 2010  commencing in-memory singleton removal
Thu Apr 22 09:55:50 2010  begin with 68552718 relations and 61690842 unique ideals
Thu Apr 22 09:57:51 2010  reduce to 68530289 relations and 60414487 ideals in 5 passes
Thu Apr 22 09:57:51 2010  max relations containing the same ideal: 164
Thu Apr 22 09:59:40 2010  removing 1622216 relations and 1222216 ideals in 400000 cliques
Thu Apr 22 09:59:46 2010  commencing in-memory singleton removal
Thu Apr 22 10:00:09 2010  begin with 66908073 relations and 60414487 unique ideals
Thu Apr 22 10:02:09 2010  reduce to 66885807 relations and 59169894 ideals in 5 passes
Thu Apr 22 10:02:09 2010  max relations containing the same ideal: 163
Thu Apr 22 10:03:54 2010  removing 1596685 relations and 1196685 ideals in 400000 cliques
Thu Apr 22 10:04:01 2010  commencing in-memory singleton removal
Thu Apr 22 10:04:24 2010  begin with 65289122 relations and 59169894 unique ideals
Thu Apr 22 10:06:20 2010  reduce to 65265751 relations and 57949720 ideals in 5 passes
Thu Apr 22 10:06:20 2010  max relations containing the same ideal: 158
Thu Apr 22 10:08:03 2010  removing 1582061 relations and 1182061 ideals in 400000 cliques
Thu Apr 22 10:08:09 2010  commencing in-memory singleton removal
Thu Apr 22 10:08:32 2010  begin with 63683690 relations and 57949720 unique ideals
Thu Apr 22 10:10:24 2010  reduce to 63659665 relations and 56743509 ideals in 5 passes
Thu Apr 22 10:10:24 2010  max relations containing the same ideal: 155
Thu Apr 22 10:12:04 2010  removing 1571176 relations and 1171176 ideals in 400000 cliques
Thu Apr 22 10:12:11 2010  commencing in-memory singleton removal
Thu Apr 22 10:12:33 2010  begin with 62088489 relations and 56743509 unique ideals
Thu Apr 22 10:14:24 2010  reduce to 62065273 relations and 55548987 ideals in 5 passes
Thu Apr 22 10:14:24 2010  max relations containing the same ideal: 155
Thu Apr 22 10:16:01 2010  removing 1543259 relations and 1143259 ideals in 400000 cliques
Thu Apr 22 10:16:08 2010  commencing in-memory singleton removal
Thu Apr 22 10:16:29 2010  begin with 60522014 relations and 55548987 unique ideals
Thu Apr 22 10:18:15 2010  reduce to 60497003 relations and 54380565 ideals in 5 passes
Thu Apr 22 10:18:15 2010  max relations containing the same ideal: 153
Thu Apr 22 10:19:48 2010  removing 1534174 relations and 1134174 ideals in 400000 cliques
Thu Apr 22 10:19:55 2010  commencing in-memory singleton removal
Thu Apr 22 10:20:15 2010  begin with 58962829 relations and 54380565 unique ideals
Thu Apr 22 10:22:21 2010  reduce to 58937466 relations and 53220879 ideals in 6 passes
Thu Apr 22 10:22:21 2010  max relations containing the same ideal: 148
Thu Apr 22 10:23:52 2010  removing 1514568 relations and 1114568 ideals in 400000 cliques
Thu Apr 22 10:23:58 2010  commencing in-memory singleton removal
Thu Apr 22 10:24:18 2010  begin with 57422898 relations and 53220879 unique ideals
Thu Apr 22 10:25:59 2010  reduce to 57396138 relations and 52079363 ideals in 5 passes
Thu Apr 22 10:25:59 2010  max relations containing the same ideal: 146
Thu Apr 22 10:27:28 2010  removing 1497111 relations and 1097111 ideals in 400000 cliques
Thu Apr 22 10:27:33 2010  commencing in-memory singleton removal
Thu Apr 22 10:27:54 2010  begin with 55899027 relations and 52079363 unique ideals
Thu Apr 22 10:30:13 2010  reduce to 55871082 relations and 50954126 ideals in 7 passes
Thu Apr 22 10:30:13 2010  max relations containing the same ideal: 144
Thu Apr 22 10:31:40 2010  removing 1498812 relations and 1098812 ideals in 400000 cliques
Thu Apr 22 10:31:46 2010  commencing in-memory singleton removal
Thu Apr 22 10:32:05 2010  begin with 54372270 relations and 50954126 unique ideals
Thu Apr 22 10:33:40 2010  reduce to 54346823 relations and 49829691 ideals in 5 passes
Thu Apr 22 10:33:40 2010  max relations containing the same ideal: 142
Thu Apr 22 10:35:04 2010  removing 1477305 relations and 1077305 ideals in 400000 cliques
Thu Apr 22 10:35:09 2010  commencing in-memory singleton removal
Thu Apr 22 10:35:28 2010  begin with 52869518 relations and 49829691 unique ideals
Thu Apr 22 10:37:01 2010  reduce to 52842971 relations and 48725623 ideals in 5 passes
Thu Apr 22 10:37:01 2010  max relations containing the same ideal: 140
Thu Apr 22 10:38:24 2010  removing 1466801 relations and 1066801 ideals in 400000 cliques
Thu Apr 22 10:38:29 2010  commencing in-memory singleton removal
Thu Apr 22 10:38:48 2010  begin with 51376170 relations and 48725623 unique ideals
Thu Apr 22 10:40:20 2010  reduce to 51348274 relations and 47630705 ideals in 5 passes
Thu Apr 22 10:40:20 2010  max relations containing the same ideal: 134
Thu Apr 22 10:41:39 2010  removing 1458032 relations and 1058032 ideals in 400000 cliques
Thu Apr 22 10:41:44 2010  commencing in-memory singleton removal
Thu Apr 22 10:42:02 2010  begin with 49890242 relations and 47630705 unique ideals
Thu Apr 22 10:43:48 2010  reduce to 49860871 relations and 46543089 ideals in 6 passes
Thu Apr 22 10:43:48 2010  max relations containing the same ideal: 131
Thu Apr 22 10:45:07 2010  removing 1460193 relations and 1060193 ideals in 400000 cliques
Thu Apr 22 10:45:12 2010  commencing in-memory singleton removal
Thu Apr 22 10:45:30 2010  begin with 48400678 relations and 46543089 unique ideals
Thu Apr 22 10:47:13 2010  reduce to 48370993 relations and 45452958 ideals in 6 passes
Thu Apr 22 10:47:13 2010  max relations containing the same ideal: 129
Thu Apr 22 10:48:29 2010  removing 1450657 relations and 1050657 ideals in 400000 cliques
Thu Apr 22 10:48:35 2010  commencing in-memory singleton removal
Thu Apr 22 10:48:51 2010  begin with 46920336 relations and 45452958 unique ideals
Thu Apr 22 10:50:10 2010  reduce to 46889071 relations and 44370770 ideals in 5 passes
Thu Apr 22 10:50:10 2010  max relations containing the same ideal: 125
Thu Apr 22 10:51:24 2010  removing 1448752 relations and 1048752 ideals in 400000 cliques
Thu Apr 22 10:51:29 2010  commencing in-memory singleton removal
Thu Apr 22 10:51:45 2010  begin with 45440319 relations and 44370770 unique ideals
Thu Apr 22 10:53:07 2010  reduce to 45407801 relations and 43289223 ideals in 5 passes
Thu Apr 22 10:53:07 2010  max relations containing the same ideal: 122
Thu Apr 22 10:54:17 2010  removing 1446022 relations and 1046022 ideals in 400000 cliques
Thu Apr 22 10:54:22 2010  commencing in-memory singleton removal
Thu Apr 22 10:54:37 2010  begin with 43961779 relations and 43289223 unique ideals
Thu Apr 22 10:55:55 2010  reduce to 43927741 relations and 42208854 ideals in 5 passes
Thu Apr 22 10:55:55 2010  max relations containing the same ideal: 120
Thu Apr 22 10:57:04 2010  removing 1445290 relations and 1045290 ideals in 400000 cliques
Thu Apr 22 10:57:08 2010  commencing in-memory singleton removal
Thu Apr 22 10:57:23 2010  begin with 42482451 relations and 42208854 unique ideals
Thu Apr 22 10:58:54 2010  reduce to 42447311 relations and 41128101 ideals in 6 passes
Thu Apr 22 10:58:54 2010  max relations containing the same ideal: 116
Thu Apr 22 11:00:00 2010  removing 1445619 relations and 1045619 ideals in 400000 cliques
Thu Apr 22 11:00:05 2010  commencing in-memory singleton removal
Thu Apr 22 11:00:20 2010  begin with 41001692 relations and 41128101 unique ideals
Thu Apr 22 11:01:49 2010  reduce to 40964519 relations and 40044935 ideals in 6 passes
Thu Apr 22 11:01:49 2010  max relations containing the same ideal: 114
Thu Apr 22 11:02:53 2010  removing 1133819 relations and 837117 ideals in 296702 cliques
Thu Apr 22 11:02:57 2010  commencing in-memory singleton removal
Thu Apr 22 11:03:11 2010  begin with 39830700 relations and 40044935 unique ideals
Thu Apr 22 11:04:20 2010  reduce to 39807814 relations and 39184763 ideals in 5 passes
Thu Apr 22 11:04:20 2010  max relations containing the same ideal: 110
Thu Apr 22 11:05:40 2010  relations with 0 large ideals: 18206
Thu Apr 22 11:05:40 2010  relations with 1 large ideals: 4309
Thu Apr 22 11:05:40 2010  relations with 2 large ideals: 65114
Thu Apr 22 11:05:40 2010  relations with 3 large ideals: 509775
Thu Apr 22 11:05:40 2010  relations with 4 large ideals: 2198856
Thu Apr 22 11:05:40 2010  relations with 5 large ideals: 5751443
Thu Apr 22 11:05:40 2010  relations with 6 large ideals: 9544470
Thu Apr 22 11:05:40 2010  relations with 7+ large ideals: 21715641
Thu Apr 22 11:05:40 2010  commencing 2-way merge
Thu Apr 22 11:07:09 2010  reduce to 27918363 relation sets and 27295312 unique ideals
Thu Apr 22 11:07:10 2010  commencing full merge
Thu Apr 22 11:26:09 2010  memory use: 3242.7 MB
Thu Apr 22 11:26:16 2010  found 14853270 cycles, need 14767512
Thu Apr 22 11:26:30 2010  weight of 14767512 cycles is about 1033764530 (70.00/cycle)
Thu Apr 22 11:26:30 2010  distribution of cycle lengths:
Thu Apr 22 11:26:30 2010  1 relations: 1388215
Thu Apr 22 11:26:30 2010  2 relations: 1803915
Thu Apr 22 11:26:30 2010  3 relations: 1959895
Thu Apr 22 11:26:30 2010  4 relations: 1872015
Thu Apr 22 11:26:30 2010  5 relations: 1723981
Thu Apr 22 11:26:30 2010  6 relations: 1491481
Thu Apr 22 11:26:30 2010  7 relations: 1240677
Thu Apr 22 11:26:30 2010  8 relations: 986002
Thu Apr 22 11:26:30 2010  9 relations: 748570
Thu Apr 22 11:26:30 2010  10+ relations: 1552761
Thu Apr 22 11:26:30 2010  heaviest cycle: 19 relations
Thu Apr 22 11:26:39 2010  commencing cycle optimization
Thu Apr 22 11:27:33 2010  start with 77079031 relations
Thu Apr 22 11:32:19 2010  pruned 2106182 relations
Thu Apr 22 11:32:23 2010  memory use: 2468.4 MB
Thu Apr 22 11:32:23 2010  distribution of cycle lengths:
Thu Apr 22 11:32:23 2010  1 relations: 1388215
Thu Apr 22 11:32:23 2010  2 relations: 1841762
Thu Apr 22 11:32:23 2010  3 relations: 2033846
Thu Apr 22 11:32:23 2010  4 relations: 1925376
Thu Apr 22 11:32:23 2010  5 relations: 1777306
Thu Apr 22 11:32:23 2010  6 relations: 1521645
Thu Apr 22 11:32:23 2010  7 relations: 1254533
Thu Apr 22 11:32:23 2010  8 relations: 975317
Thu Apr 22 11:32:23 2010  9 relations: 723801
Thu Apr 22 11:32:23 2010  10+ relations: 1325711
Thu Apr 22 11:32:23 2010  heaviest cycle: 19 relations
Thu Apr 22 11:33:17 2010  RelProcTime: 18295
Thu Apr 22 11:33:31 2010  elapsed time 05:05:13
Thu Apr 22 12:38:43 2010  
Thu Apr 22 12:38:43 2010  
Thu Apr 22 12:38:43 2010  Msieve v. 1.44
Thu Apr 22 12:38:43 2010  random seeds: acd8cc45 fc2fb26e
Thu Apr 22 12:38:43 2010  factoring 276216387918295192453768282072175342163050533788169652105459416907205104478848730095156545637852693800323173173864405375170908890024445150330769124532158492963387517781429972240253014211333158396287651746378112613421354288949963401328600825887 (243 digits)
Thu Apr 22 12:38:47 2010  no P-1/P+1/ECM available, skipping
Thu Apr 22 12:38:47 2010  commencing number field sieve (243-digit input)
Thu Apr 22 12:38:47 2010  R0: -100000000000000000000000000000000000000000
Thu Apr 22 12:38:47 2010  R1:  1
Thu Apr 22 12:38:47 2010  A0:  9
Thu Apr 22 12:38:47 2010  A1:  0
Thu Apr 22 12:38:47 2010  A2:  0
Thu Apr 22 12:38:47 2010  A3:  0
Thu Apr 22 12:38:47 2010  A4:  0
Thu Apr 22 12:38:47 2010  A5:  0
Thu Apr 22 12:38:47 2010  A6:  20
Thu Apr 22 12:38:47 2010  skew 0.88, size 2.717572e-12, alpha 1.535887, combined = 2.498357e-13
Thu Apr 22 12:38:47 2010  
Thu Apr 22 12:38:47 2010  commencing linear algebra
Thu Apr 22 12:38:55 2010  read 14767512 cycles
Thu Apr 22 12:39:35 2010  cycles contain 39553664 unique relations
Thu Apr 22 12:52:15 2010  read 39553664 relations
Thu Apr 22 12:55:11 2010  using 20 quadratic characters above 2147483564
Thu Apr 22 13:00:04 2010  building initial matrix
Thu Apr 22 13:21:46 2010  memory use: 5141.0 MB
Thu Apr 22 13:22:13 2010  read 14767512 cycles
Thu Apr 22 13:22:38 2010  matrix is 14767335 x 14767512 (4432.8 MB) with weight 1280927297 (86.74/col)
Thu Apr 22 13:22:38 2010  sparse part has weight 999577130 (67.69/col)
Thu Apr 22 13:31:29 2010  filtering completed in 2 passes
Thu Apr 22 13:31:37 2010  matrix is 14766071 x 14766248 (4432.7 MB) with weight 1280897610 (86.74/col)
Thu Apr 22 13:31:37 2010  sparse part has weight 999569527 (67.69/col)
Thu Apr 22 13:34:26 2010  read 14766248 cycles
Thu Apr 22 13:34:50 2010  matrix is 14766071 x 14766248 (4432.7 MB) with weight 1280897610 (86.74/col)
Thu Apr 22 13:34:50 2010  sparse part has weight 999569527 (67.69/col)
Thu Apr 22 13:34:54 2010  saving the first 48 matrix rows for later
Thu Apr 22 13:35:12 2010  matrix is 14766023 x 14766248 (4238.7 MB) with weight 1034611204 (70.07/col)
Thu Apr 22 13:35:13 2010  sparse part has weight 963484112 (65.25/col)
Thu Apr 22 13:35:13 2010  matrix includes 64 packed rows
Thu Apr 22 13:35:13 2010  using block size 65536 for processor cache size 6144 kB
Thu Apr 22 13:37:26 2010  commencing Lanczos iteration
Thu Apr 22 13:37:26 2010  memory use: 4291.4 MB
Thu Apr 22 13:45:54 2010  linear algebra at 0.0%, ETA 2542h24m
Thu Apr 22 13:46:47 2010  lanczos halted after 13 iterations (dim = 819)
Thu Apr 22 13:46:48 2010  BLanczosTime: 4081
Thu Apr 22 13:46:48 2010  elapsed time 01:08:05
Sat May  8 07:00:38 2010  
Sat May  8 07:00:38 2010  
Sat May  8 07:00:38 2010  Msieve v. 1.44
Sat May  8 07:00:38 2010  random seeds: 2b232dbe 7b3a0432
Sat May  8 07:00:38 2010  factoring 276216387918295192453768282072175342163050533788169652105459416907205104478848730095156545637852693800323173173864405375170908890024445150330769124532158492963387517781429972240253014211333158396287651746378112613421354288949963401328600825887 (243 digits)
Sat May  8 07:00:42 2010  no P-1/P+1/ECM available, skipping
Sat May  8 07:00:42 2010  commencing number field sieve (243-digit input)
Sat May  8 07:00:42 2010  R0: -100000000000000000000000000000000000000000
Sat May  8 07:00:42 2010  R1:  1
Sat May  8 07:00:42 2010  A0:  9
Sat May  8 07:00:42 2010  A1:  0
Sat May  8 07:00:42 2010  A2:  0
Sat May  8 07:00:42 2010  A3:  0
Sat May  8 07:00:42 2010  A4:  0
Sat May  8 07:00:42 2010  A5:  0
Sat May  8 07:00:42 2010  A6:  20
Sat May  8 07:00:42 2010  skew 0.88, size 2.717572e-12, alpha 1.535887, combined = 2.498357e-13
Sat May  8 07:00:42 2010  
Sat May  8 07:00:42 2010  commencing linear algebra
Sat May  8 07:00:46 2010  read 14766248 cycles
Sat May  8 07:01:03 2010  matrix is 14766071 x 14766248 (4432.7 MB) with weight 1280897610 (86.74/col)
Sat May  8 07:01:03 2010  sparse part has weight 999569527 (67.69/col)
Sat May  8 07:01:04 2010  saving the first 48 matrix rows for later
Sat May  8 07:01:17 2010  matrix is 14766023 x 14766248 (4238.7 MB) with weight 1034611204 (70.07/col)
Sat May  8 07:01:17 2010  sparse part has weight 963484112 (65.25/col)
Sat May  8 07:01:17 2010  matrix includes 64 packed rows
Sat May  8 07:01:17 2010  using block size 65536 for processor cache size 6144 kB
Sat May  8 07:02:49 2010  commencing Lanczos iteration (8 threads)
Sat May  8 07:02:50 2010  memory use: 5080.1 MB
Sat May  8 07:02:50 2010  restarting at iteration 13 (dim = 819)
Sat May  8 07:04:35 2010  linear algebra at 0.0%, ETA 563h39m
Thu May 13 19:29:34 2010  lanczos halted after 53449 iterations (dim = 3379835)
Thu May 13 19:29:34 2010  BLanczosTime: 476932
Thu May 13 19:29:34 2010  elapsed time 132:28:56
Thu May 13 19:33:53 2010  
Thu May 13 19:33:53 2010  
Thu May 13 19:33:53 2010  Msieve v. 1.44
Thu May 13 19:33:53 2010  random seeds: 803d3c2f 62839d06
Thu May 13 19:33:53 2010  factoring 276216387918295192453768282072175342163050533788169652105459416907205104478848730095156545637852693800323173173864405375170908890024445150330769124532158492963387517781429972240253014211333158396287651746378112613421354288949963401328600825887 (243 digits)
Thu May 13 19:33:57 2010  no P-1/P+1/ECM available, skipping
Thu May 13 19:33:57 2010  commencing number field sieve (243-digit input)
Thu May 13 19:33:57 2010  R0: -100000000000000000000000000000000000000000
Thu May 13 19:33:57 2010  R1:  1
Thu May 13 19:33:57 2010  A0:  9
Thu May 13 19:33:57 2010  A1:  0
Thu May 13 19:33:57 2010  A2:  0
Thu May 13 19:33:57 2010  A3:  0
Thu May 13 19:33:57 2010  A4:  0
Thu May 13 19:33:57 2010  A5:  0
Thu May 13 19:33:57 2010  A6:  20
Thu May 13 19:33:57 2010  skew 0.88, size 2.717572e-12, alpha 1.535887, combined = 2.498357e-13
Thu May 13 19:33:57 2010  
Thu May 13 19:33:57 2010  commencing linear algebra
Thu May 13 19:34:02 2010  read 14766248 cycles
Thu May 13 19:34:19 2010  matrix is 14766071 x 14766248 (4432.7 MB) with weight 1280897610 (86.74/col)
Thu May 13 19:34:19 2010  sparse part has weight 999569527 (67.69/col)
Thu May 13 19:34:20 2010  saving the first 48 matrix rows for later
Thu May 13 19:34:33 2010  matrix is 14766023 x 14766248 (4238.7 MB) with weight 1034611204 (70.07/col)
Thu May 13 19:34:33 2010  sparse part has weight 963484112 (65.25/col)
Thu May 13 19:34:33 2010  matrix includes 64 packed rows
Thu May 13 19:34:33 2010  using block size 65536 for processor cache size 6144 kB
Thu May 13 19:36:05 2010  commencing Lanczos iteration (8 threads)
Thu May 13 19:36:05 2010  memory use: 5080.1 MB
Thu May 13 19:36:06 2010  restarting at iteration 53449 (dim = 3379835)
Thu May 13 19:37:52 2010  linear algebra at 22.9%, ETA 442h16m
Wed May 26 19:39:54 2010  lanczos halted after 142811 iterations (dim = 9030471)
Wed May 26 19:39:55 2010  BLanczosTime: 1123558
Wed May 26 19:39:55 2010  elapsed time 312:06:02
Wed May 26 19:55:12 2010  
Wed May 26 19:55:12 2010  
Wed May 26 19:55:12 2010  Msieve v. 1.44
Wed May 26 19:55:12 2010  random seeds: e787aff5 18dae01e
Wed May 26 19:55:12 2010  factoring 276216387918295192453768282072175342163050533788169652105459416907205104478848730095156545637852693800323173173864405375170908890024445150330769124532158492963387517781429972240253014211333158396287651746378112613421354288949963401328600825887 (243 digits)
Wed May 26 19:55:16 2010  no P-1/P+1/ECM available, skipping
Wed May 26 19:55:16 2010  commencing number field sieve (243-digit input)
Wed May 26 19:55:16 2010  R0: -100000000000000000000000000000000000000000
Wed May 26 19:55:16 2010  R1:  1
Wed May 26 19:55:16 2010  A0:  9
Wed May 26 19:55:16 2010  A1:  0
Wed May 26 19:55:16 2010  A2:  0
Wed May 26 19:55:16 2010  A3:  0
Wed May 26 19:55:16 2010  A4:  0
Wed May 26 19:55:16 2010  A5:  0
Wed May 26 19:55:16 2010  A6:  20
Wed May 26 19:55:16 2010  skew 0.88, size 2.717572e-12, alpha 1.535887, combined = 2.498357e-13
Wed May 26 19:55:16 2010  
Wed May 26 19:55:16 2010  commencing linear algebra
Wed May 26 19:55:21 2010  read 14766248 cycles
Wed May 26 19:56:20 2010  matrix is 14766071 x 14766248 (4432.7 MB) with weight 1280897610 (86.74/col)
Wed May 26 19:56:20 2010  sparse part has weight 999569527 (67.69/col)
Wed May 26 19:56:21 2010  saving the first 48 matrix rows for later
Wed May 26 19:56:34 2010  matrix is 14766023 x 14766248 (4238.7 MB) with weight 1034611204 (70.07/col)
Wed May 26 19:56:34 2010  sparse part has weight 963484112 (65.25/col)
Wed May 26 19:56:34 2010  matrix includes 64 packed rows
Wed May 26 19:56:34 2010  using block size 65536 for processor cache size 6144 kB
Wed May 26 19:58:07 2010  commencing Lanczos iteration (8 threads)
Wed May 26 19:58:07 2010  memory use: 5080.1 MB
Wed May 26 19:58:07 2010  restarting at iteration 142811 (dim = 9030471)
Wed May 26 20:00:02 2010  linear algebra at 61.2%, ETA 242h 0m
Fri Jun  4 05:47:04 2010  
Fri Jun  4 05:47:04 2010  
Fri Jun  4 05:47:04 2010  Msieve v. 1.44
Fri Jun  4 05:47:04 2010  random seeds: 10c93ec0 94ca8a83
Fri Jun  4 05:47:04 2010  factoring 276216387918295192453768282072175342163050533788169652105459416907205104478848730095156545637852693800323173173864405375170908890024445150330769124532158492963387517781429972240253014211333158396287651746378112613421354288949963401328600825887 (243 digits)
Fri Jun  4 05:47:07 2010  no P-1/P+1/ECM available, skipping
Fri Jun  4 05:47:07 2010  commencing number field sieve (243-digit input)
Fri Jun  4 05:47:07 2010  R0: -100000000000000000000000000000000000000000
Fri Jun  4 05:47:07 2010  R1:  1
Fri Jun  4 05:47:07 2010  A0:  9
Fri Jun  4 05:47:07 2010  A1:  0
Fri Jun  4 05:47:07 2010  A2:  0
Fri Jun  4 05:47:07 2010  A3:  0
Fri Jun  4 05:47:07 2010  A4:  0
Fri Jun  4 05:47:07 2010  A5:  0
Fri Jun  4 05:47:07 2010  A6:  20
Fri Jun  4 05:47:07 2010  skew 0.88, size 2.717572e-12, alpha 1.535887, combined = 2.498357e-13
Fri Jun  4 05:47:08 2010  
Fri Jun  4 05:47:08 2010  commencing linear algebra
Fri Jun  4 05:47:13 2010  read 14766248 cycles
Fri Jun  4 05:48:18 2010  matrix is 14766071 x 14766248 (4432.7 MB) with weight 1280897610 (86.74/col)
Fri Jun  4 05:48:18 2010  sparse part has weight 999569527 (67.69/col)
Fri Jun  4 05:48:19 2010  saving the first 48 matrix rows for later
Fri Jun  4 05:48:32 2010  matrix is 14766023 x 14766248 (4238.7 MB) with weight 1034611204 (70.07/col)
Fri Jun  4 05:48:33 2010  sparse part has weight 963484112 (65.25/col)
Fri Jun  4 05:48:33 2010  matrix includes 64 packed rows
Fri Jun  4 05:48:33 2010  using block size 65536 for processor cache size 6144 kB
Fri Jun  4 05:50:05 2010  commencing Lanczos iteration (8 threads)
Fri Jun  4 05:50:05 2010  memory use: 5080.1 MB
Fri Jun  4 05:50:12 2010  restarting at iteration 218080 (dim = 13790059)
Fri Jun  4 05:51:58 2010  linear algebra at 93.4%, ETA 37h50m
Sat Jun  5 19:29:33 2010  lanczos halted after 233515 iterations (dim = 14766023)
Sat Jun  5 19:30:11 2010  recovered 41 nontrivial dependencies
Sat Jun  5 19:30:12 2010  BLanczosTime: 135784
Sat Jun  5 19:30:12 2010  elapsed time 37:43:08
Sat Jun  5 20:33:15 2010  
Sat Jun  5 20:33:15 2010  
Sat Jun  5 20:33:15 2010  Msieve v. 1.44
Sat Jun  5 20:33:15 2010  random seeds: 9a54f0d7 5c2a6b41
Sat Jun  5 20:33:15 2010  factoring 276216387918295192453768282072175342163050533788169652105459416907205104478848730095156545637852693800323173173864405375170908890024445150330769124532158492963387517781429972240253014211333158396287651746378112613421354288949963401328600825887 (243 digits)
Sat Jun  5 20:33:19 2010  no P-1/P+1/ECM available, skipping
Sat Jun  5 20:33:19 2010  commencing number field sieve (243-digit input)
Sat Jun  5 20:33:19 2010  R0: -100000000000000000000000000000000000000000
Sat Jun  5 20:33:19 2010  R1:  1
Sat Jun  5 20:33:19 2010  A0:  9
Sat Jun  5 20:33:19 2010  A1:  0
Sat Jun  5 20:33:19 2010  A2:  0
Sat Jun  5 20:33:19 2010  A3:  0
Sat Jun  5 20:33:19 2010  A4:  0
Sat Jun  5 20:33:19 2010  A5:  0
Sat Jun  5 20:33:19 2010  A6:  20
Sat Jun  5 20:33:19 2010  skew 0.88, size 2.717572e-12, alpha 1.535887, combined = 2.498357e-13
Sat Jun  5 20:33:19 2010  
Sat Jun  5 20:33:19 2010  commencing square root phase
Sat Jun  5 20:33:19 2010  reading relations for dependency 1
Sat Jun  5 20:33:22 2010  read 7383420 cycles
Sat Jun  5 20:33:42 2010  cycles contain 19781554 unique relations
Sat Jun  5 20:40:04 2010  read 19781554 relations
Sat Jun  5 20:42:52 2010  multiplying 19781554 relations
Sat Jun  5 21:21:16 2010  multiply complete, coefficients have about 585.48 million bits
Sat Jun  5 21:21:22 2010  initial square root is modulo 178951
Sat Jun  5 22:32:57 2010  reading relations for dependency 2
Sat Jun  5 22:33:00 2010  read 7383791 cycles
Sat Jun  5 22:33:21 2010  cycles contain 19781810 unique relations
Sat Jun  5 22:37:31 2010  read 19781810 relations
Sat Jun  5 22:40:19 2010  multiplying 19781810 relations
Sat Jun  5 23:18:45 2010  multiply complete, coefficients have about 585.50 million bits
Sat Jun  5 23:18:51 2010  initial square root is modulo 179317
Sun Jun  6 00:30:41 2010  reading relations for dependency 3
Sun Jun  6 00:30:44 2010  read 7384240 cycles
Sun Jun  6 00:31:04 2010  cycles contain 19778318 unique relations
Sun Jun  6 00:35:12 2010  read 19778318 relations
Sun Jun  6 00:38:01 2010  multiplying 19778318 relations
Sun Jun  6 01:16:25 2010  multiply complete, coefficients have about 585.40 million bits
Sun Jun  6 01:16:31 2010  initial square root is modulo 178693
Sun Jun  6 02:28:16 2010  reading relations for dependency 4
Sun Jun  6 02:28:19 2010  read 7384636 cycles
Sun Jun  6 02:28:39 2010  cycles contain 19776312 unique relations
Sun Jun  6 02:32:48 2010  read 19776312 relations
Sun Jun  6 02:35:36 2010  multiplying 19776312 relations
Sun Jun  6 03:14:01 2010  multiply complete, coefficients have about 585.34 million bits
Sun Jun  6 03:14:07 2010  initial square root is modulo 178531
Sun Jun  6 04:25:42 2010  reading relations for dependency 5
Sun Jun  6 04:25:45 2010  read 7381861 cycles
Sun Jun  6 04:26:05 2010  cycles contain 19772368 unique relations
Sun Jun  6 04:30:14 2010  read 19772368 relations
Sun Jun  6 04:33:04 2010  multiplying 19772368 relations
Sun Jun  6 05:11:20 2010  multiply complete, coefficients have about 585.23 million bits
Sun Jun  6 05:11:26 2010  initial square root is modulo 178039
Sun Jun  6 06:23:02 2010  sqrtTime: 35383
Sun Jun  6 06:23:02 2010  prp61 factor: 3437661623705243995609921801789884146142456507556397059151887
Sun Jun  6 06:23:02 2010  prp182 factor: 80350080419078169605944096638863837667669704493857648931424668314468462837174011259151601269570866568795942355366532856184140561377524685121550380921762692989316410704320819691702001
Sun Jun  6 06:23:02 2010  elapsed time 09:49:47
software ソフトウェア
ggnfs-lasieve4I14e on the RSALS grid + msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6905118Makoto KamadaDecember 23, 2009 02:00:00 UTC 2009 年 12 月 23 日 (水) 11 時 0 分 0 秒 (日本時間)
5Hildron101010December 23, 2009 15:48:11 UTC 2009 年 12 月 24 日 (木) 0 時 48 分 11 秒 (日本時間)
4Hildron101010December 23, 2009 15:58:13 UTC 2009 年 12 月 24 日 (木) 0 時 58 分 13 秒 (日本時間)
332Alecoc14December 24, 2009 05:30:19 UTC 2009 年 12 月 24 日 (木) 14 時 30 分 19 秒 (日本時間)
446milotickzDecember 24, 2009 23:58:35 UTC 2009 年 12 月 25 日 (金) 8 時 58 分 35 秒 (日本時間)
403e60--
4511e647401100Dmitry DomanovDecember 29, 2009 06:21:25 UTC 2009 年 12 月 29 日 (火) 15 時 21 分 25 秒 (日本時間)
3640Dmitry DomanovJanuary 30, 2010 21:00:30 UTC 2010 年 1 月 31 日 (日) 6 時 0 分 30 秒 (日本時間)

2×10248+9

c220

name 名前Dmitry Domanov
date 日付December 24, 2009 02:02:15 UTC 2009 年 12 月 24 日 (木) 11 時 2 分 15 秒 (日本時間)
composite number 合成数
3629483854308485325418130806146063823358328244732748385383522066960423081986578009982120226624916983346208483971160454087985625372395373757686338686435082401688847651516129821093386179845764322358006077351593956967207651<220>
prime factors 素因数
63380532867978197628346597706813686961<38>
composite cofactor 合成数の残り
57264962758655073499640385596911912843405767555810142578271507896184241753434450997205171439568565855573766028794311486964572257868682891212249064270760929321618096156966261093582291<182>
factorization results 素因数分解の結果
Factor=63380532867978197628346597706813686961  Method=ECM  B1=11000000  Sigma=2228662224
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 23, 2009 02:00:00 UTC 2009 年 12 月 23 日 (水) 11 時 0 分 0 秒 (日本時間)
403e60--
4511e61255 / 2160155Dmitry DomanovDecember 24, 2009 16:11:17 UTC 2009 年 12 月 25 日 (金) 1 時 11 分 17 秒 (日本時間)
1100Dmitry DomanovDecember 29, 2009 06:20:49 UTC 2009 年 12 月 29 日 (火) 15 時 20 分 49 秒 (日本時間)
5043e6660 / 7271180Dmitry DomanovMay 3, 2011 21:11:18 UTC 2011 年 5 月 4 日 (水) 6 時 11 分 18 秒 (日本時間)
480Dmitry DomanovJune 24, 2011 23:19:07 UTC 2011 年 6 月 25 日 (土) 8 時 19 分 7 秒 (日本時間)

2×10251+9

c243

name 名前Dmitry Domanov
date 日付August 19, 2016 14:03:47 UTC 2016 年 8 月 19 日 (金) 23 時 3 分 47 秒 (日本時間)
composite number 合成数
439565692128940890223340976494261976488716855282510265952342819533867704700462541571073674566084869897665128802868793840949699436298538802539493202691303368387722909998816843004781136252830344260619219750984145276478831242649376449801664992643<243>
prime factors 素因数
177172454020449588634910030539966836065189<42>
composite cofactor 合成数の残り
2481004705608499189114189869328383627521717526271315023963753841104442045326072368659343294282043154990191206740388094042786849637918421483244145785659853637462570120560063374098549379530502124225530887<202>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2933624146
Step 1 took 95443ms
Step 2 took 28472ms
********** Factor found in step 2: 177172454020449588634910030539966836065189
Found probable prime factor of 42 digits: 177172454020449588634910030539966836065189

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 24, 2016 07:45:40 UTC 2016 年 2 月 24 日 (水) 16 時 45 分 40 秒 (日本時間)
4511e61800 / 4306Dmitry DomanovAugust 19, 2016 10:11:11 UTC 2016 年 8 月 19 日 (金) 19 時 11 分 11 秒 (日本時間)

2×10252+9

c246

composite cofactor 合成数の残り
849828143503679968318406810182810781089794116384814080972475341174131061346119281028394033016673203261470449138422982412381656119591215666411859861639479956165864358080187234136576730770619911388419476871289703439721902238319855767167484555435777<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 24, 2016 07:45:57 UTC 2016 年 2 月 24 日 (水) 16 時 45 分 57 秒 (日本時間)
4511e61800 / 4306Dmitry DomanovAugust 19, 2016 10:12:25 UTC 2016 年 8 月 19 日 (金) 19 時 12 分 25 秒 (日本時間)

2×10254+9

c224

composite cofactor 合成数の残り
60766169174668871814438349834984985924363650010511334872013028741070252674886138515850837086153918516436682851131054074481112638664947938759593768097434660434163568300729293313769753437504532214650209836570594040758615676369<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 24, 2016 07:46:13 UTC 2016 年 2 月 24 日 (水) 16 時 46 分 13 秒 (日本時間)
4511e61800 / 4306Dmitry DomanovAugust 22, 2016 08:19:52 UTC 2016 年 8 月 22 日 (月) 17 時 19 分 52 秒 (日本時間)

2×10256+9

c212

composite cofactor 合成数の残り
83594849395484836803090920266233438415104602407421640524508335970771721827383701857399409069704571795693562109423585943136594739036900501365108579703647370628953297099997339303046922080685070015268813172196196921<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 24, 2016 07:46:30 UTC 2016 年 2 月 24 日 (水) 16 時 46 分 30 秒 (日本時間)
4511e61800 / 4306Dmitry DomanovAugust 24, 2016 14:35:23 UTC 2016 年 8 月 24 日 (水) 23 時 35 分 23 秒 (日本時間)

2×10257+9

c237

name 名前Dmitry Domanov
date 日付August 24, 2016 07:41:50 UTC 2016 年 8 月 24 日 (水) 16 時 41 分 50 秒 (日本時間)
composite number 合成数
420615988160769622890565489144089015225730972571465425613650594162796841832758075861201984747041538127449944915660218360240678848363095543139969886708525407027041741392442482768400105316838440187171147201059733299448157868241569362461729<237>
prime factors 素因数
1859460551085195672309811711374118829843<40>
226203232929730535801221284772104670787915346027272556852755696087478931232133933302573753323818852400785616683486348212880778421179111864449056075892004657909993451044686223034251410904254387745403<198>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2364745351
Step 1 took 106261ms
Step 2 took 34464ms
********** Factor found in step 2: 1859460551085195672309811711374118829843
Found probable prime factor of 40 digits: 1859460551085195672309811711374118829843

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 24, 2016 07:46:47 UTC 2016 年 2 月 24 日 (水) 16 時 46 分 47 秒 (日本時間)
4511e61800 / 4306Dmitry DomanovAugust 23, 2016 21:37:16 UTC 2016 年 8 月 24 日 (水) 6 時 37 分 16 秒 (日本時間)

2×10259+9

c243

composite cofactor 合成数の残り
115239569354993256586908854756062076849600236021419156009401385753599066283160948759646759050911704958092019989627554163027987419998098387256721065104522863918435395470083004134540147180020221595862063407466664703829492503727109529791775330887<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 24, 2016 07:47:06 UTC 2016 年 2 月 24 日 (水) 16 時 47 分 6 秒 (日本時間)
4511e61800 / 4306Dmitry DomanovAugust 24, 2016 08:05:10 UTC 2016 年 8 月 24 日 (水) 17 時 5 分 10 秒 (日本時間)

2×10261+9

c194

composite cofactor 合成数の残り
28726648698214867720838921114968694543646018266224894199005180907584943868974668601849875556599177102317815570603577340667880561483081178239211988282873291914293153507547150256073908280211021849<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 24, 2016 07:47:25 UTC 2016 年 2 月 24 日 (水) 16 時 47 分 25 秒 (日本時間)
4511e61800 / 4306Dmitry DomanovAugust 24, 2016 13:09:38 UTC 2016 年 8 月 24 日 (水) 22 時 9 分 38 秒 (日本時間)

2×10263+9

c258

composite cofactor 合成数の残り
299138332034574408416556110124785555208222714470966381338554294355110105341563625975377923890234180443233266575628900950811188371894757152023596031630887229335897945966643084594824607717469828159985162738731085109342538816937810636461672153362240067485607707<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 21, 2016 22:20:04 UTC 2016 年 2 月 22 日 (月) 7 時 20 分 4 秒 (日本時間)
4511e61800 / 4306Dmitry DomanovAugust 21, 2016 00:46:55 UTC 2016 年 8 月 21 日 (日) 9 時 46 分 55 秒 (日本時間)

2×10265+9

c256

composite cofactor 合成数の残り
1097963160432623500349576949718950601065513177635353838257560304347322434546696244669162469820471204244825580717174655699876327082043425740018991678496966731316635199268486084866194984946575643692924127778313766488939203363025235050516426129822758831350887<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 21, 2016 22:19:49 UTC 2016 年 2 月 22 日 (月) 7 時 19 分 49 秒 (日本時間)
4511e61800 / 4306Dmitry DomanovAugust 22, 2016 08:21:34 UTC 2016 年 8 月 22 日 (月) 17 時 21 分 34 秒 (日本時間)

2×10266+9

c220

name 名前Dmitry Domanov
date 日付August 25, 2016 08:17:35 UTC 2016 年 8 月 25 日 (木) 17 時 17 分 35 秒 (日本時間)
composite number 合成数
1393222136850487177545058267056285149537822868139653259327531749964656165258627380544816259396088725616631933154280932434980180940893282347204171278967393250992376989677079378165773582582649401725108443332301416893571241<220>
prime factors 素因数
1458383826931461510204229861170827916904721<43>
955319245264753827997805565225000048737624265531619416193072116798636919446136988308574631959300516613851794630839302258593010155875774308889293608462554553493138662572156100121<177>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3057168864
Step 1 took 142023ms
Step 2 took 40758ms
********** Factor found in step 2: 1458383826931461510204229861170827916904721
Found probable prime factor of 43 digits: 1458383826931461510204229861170827916904721

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 24, 2016 07:47:45 UTC 2016 年 2 月 24 日 (水) 16 時 47 分 45 秒 (日本時間)
4511e61800 / 4306Dmitry DomanovAugust 24, 2016 14:34:04 UTC 2016 年 8 月 24 日 (水) 23 時 34 分 4 秒 (日本時間)

2×10267+9

c259

composite cofactor 合成数の残り
3153477642451347835526343413522900815589756600830625695673920774742855302487590722536260329683126725177941164675190612389701147556978717212502611099197184981328739784386043296393438415901466513267428604363491926333305365665702039404604689447989367646483337047<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 21, 2016 22:19:35 UTC 2016 年 2 月 22 日 (月) 7 時 19 分 35 秒 (日本時間)
4511e61800 / 4306Dmitry DomanovAugust 21, 2016 15:11:37 UTC 2016 年 8 月 22 日 (月) 0 時 11 分 37 秒 (日本時間)

2×10268+9

c225

composite cofactor 合成数の残り
275261262214214848946275542579019103345019914391714723607609371940856370879277634650072562141002708646752432350963456291662184753431781673687142679042922384563032874755465033917517736616802966060875874886401782676525883091873<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 24, 2016 07:48:01 UTC 2016 年 2 月 24 日 (水) 16 時 48 分 1 秒 (日本時間)
4511e61800 / 4306Dmitry DomanovAugust 24, 2016 14:33:43 UTC 2016 年 8 月 24 日 (水) 23 時 33 分 43 秒 (日本時間)

2×10269+9

c259

composite cofactor 合成数の残り
1316884782647568330339970720906150807242033577736857757626421805858347318992828406587970075889715894897662951966780397162243140867828863649871278240267798675313318971903541963678488818162772332802114669470873483085124262205037873978072596087022928004648496141<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 21, 2016 22:19:21 UTC 2016 年 2 月 22 日 (月) 7 時 19 分 21 秒 (日本時間)
4511e61800 / 4306Dmitry DomanovAugust 21, 2016 15:12:02 UTC 2016 年 8 月 22 日 (月) 0 時 12 分 2 秒 (日本時間)

2×10275+9

c229

composite cofactor 合成数の残り
7290078955009505173437164882473454671721064744318190596538814325913646954818975678800169456685487993350965465453967721816143138601776057448341505561471562350507912714379950180604217894960513168229660079681177968874484742266403227<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 24, 2016 07:48:20 UTC 2016 年 2 月 24 日 (水) 16 時 48 分 20 秒 (日本時間)
4511e61800 / 4306Dmitry DomanovAugust 24, 2016 14:01:38 UTC 2016 年 8 月 24 日 (水) 23 時 1 分 38 秒 (日本時間)

2×10276+9

c254

name 名前Dmitry Domanov
date 日付August 22, 2016 12:56:23 UTC 2016 年 8 月 22 日 (月) 21 時 56 分 23 秒 (日本時間)
composite number 合成数
28410721703364598038990967344432086377356617366661450992831574270433659896814245133587092790213362232950581939705332998457771988463914326006992852786696339362050234168672879008354280602596591024617612957739956844396226306080459168086765089755891839179691<254>
prime factors 素因数
10078658764417758614203495396319990579267369<44>
composite cofactor 合成数の残り
2818899058639364275898630753321900540154907047402582388528317507358896481764213024750513023798132346274753532795962777204807434597808556395644872491879877333129058528686211711289160897045855253455581925761026739<211>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4152667802
Step 1 took 148852ms
Step 2 took 41216ms
********** Factor found in step 2: 10078658764417758614203495396319990579267369
Found probable prime factor of 44 digits: 10078658764417758614203495396319990579267369

c211

name 名前Dmitry Domanov
date 日付August 23, 2016 08:27:04 UTC 2016 年 8 月 23 日 (火) 17 時 27 分 4 秒 (日本時間)
composite number 合成数
2818899058639364275898630753321900540154907047402582388528317507358896481764213024750513023798132346274753532795962777204807434597808556395644872491879877333129058528686211711289160897045855253455581925761026739<211>
prime factors 素因数
14995560171380736605511686115482187889009777<44>
187982244505895661363819033036852985495172340356550150072927780368287151000637441838398770183178765222649563924145819627390422175961690914899939238199287581215633367907<168>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2325946213
Step 1 took 138115ms
Step 2 took 39658ms
********** Factor found in step 2: 14995560171380736605511686115482187889009777
Found probable prime factor of 44 digits: 14995560171380736605511686115482187889009777

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 21, 2016 22:19:04 UTC 2016 年 2 月 22 日 (月) 7 時 19 分 4 秒 (日本時間)
4511e61800 / 4306Dmitry DomanovAugust 22, 2016 08:22:08 UTC 2016 年 8 月 22 日 (月) 17 時 22 分 8 秒 (日本時間)

2×10279+9

c230

composite cofactor 合成数の残り
21599993413532183286721261978543373402953054375293148188958356877595605420572880677728299856768455980308719142276642010079479755830109203290602547229389522286566079217732976423963656091440175549269517499643977455496112094089178743<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 24, 2016 07:48:38 UTC 2016 年 2 月 24 日 (水) 16 時 48 分 38 秒 (日本時間)
4511e61800 / 4306Dmitry DomanovAugust 24, 2016 14:02:06 UTC 2016 年 8 月 24 日 (水) 23 時 2 分 6 秒 (日本時間)

2×10280+9

c257

name 名前Dmitry Domanov
date 日付February 22, 2016 11:21:59 UTC 2016 年 2 月 22 日 (月) 20 時 21 分 59 秒 (日本時間)
composite number 合成数
87859054402725924611152450492593584532874034904970045878256615302869332090628633460395118588215385878821049480532236388243228484173737071034010972288395265802818612311781470292992015217331056866603544607172056988431427960553242285910259277693113213302717481<257>
prime factors 素因数
4196665093123013750643412264468525331<37>
20935445753510018510219367865378108970175667554373433137177747556806162197563197126251345317717394528391792994679113886315398290168689406780173166289709215912593308734257182641353255717855218551127686184122344443359117651<221>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1150814865
Step 1 took 58080ms
Step 2 took 16825ms
********** Factor found in step 2: 4196665093123013750643412264468525331
Found probable prime factor of 37 digits: 4196665093123013750643412264468525331

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovFebruary 21, 2016 22:18:46 UTC 2016 年 2 月 22 日 (月) 7 時 18 分 46 秒 (日本時間)

2×10281+9

c223

composite cofactor 合成数の残り
1986324276257031651070838942406412812468731376712057050163657221180488092872795436969567648617063343702973871306133437595890151595888113267892750262833535987216585112732268518374024104129299025764511307767179905204663632081<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 24, 2016 07:48:59 UTC 2016 年 2 月 24 日 (水) 16 時 48 分 59 秒 (日本時間)
4511e61800 / 4306Dmitry DomanovAugust 24, 2016 14:32:46 UTC 2016 年 8 月 24 日 (水) 23 時 32 分 46 秒 (日本時間)

2×10284+9

c238

composite cofactor 合成数の残り
9969710321699511962421416406007247714230584972581506164464811906090487534182258330732499855987714373622072446640750950939139794636254952555851819632174643879683584154219356297140082666960025188447103179630929151243769816581472295362362779<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 24, 2016 07:49:16 UTC 2016 年 2 月 24 日 (水) 16 時 49 分 16 秒 (日本時間)
4511e61800 / 4306Dmitry DomanovAugust 23, 2016 14:03:27 UTC 2016 年 8 月 23 日 (火) 23 時 3 分 27 秒 (日本時間)

2×10285+9

c278

composite cofactor 合成数の残り
50158726034568240332325636167511184957016855915122005709016038528522546384971582949955560622701523403271567794496489277907706991080599780991954515264692236966574801795913122177302017802786472723270972912005719298577365609035653098338364295353538889978865871578964844777176254829<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 21, 2016 22:18:20 UTC 2016 年 2 月 22 日 (月) 7 時 18 分 20 秒 (日本時間)
4511e61800 / 4306Dmitry DomanovAugust 21, 2016 15:13:49 UTC 2016 年 8 月 22 日 (月) 0 時 13 分 49 秒 (日本時間)

2×10286+9

c238

composite cofactor 合成数の残り
1531863399510560969342469240887564994905723877137921964311292351957407273205116463864462633354870532971959691323262817185920328671021480846576398957418413071964907504510715344804356798186689828062432699675934535855992313700327880686987921<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 24, 2016 07:49:34 UTC 2016 年 2 月 24 日 (水) 16 時 49 分 34 秒 (日本時間)
4511e61800 / 4306Dmitry DomanovAugust 21, 2016 23:16:49 UTC 2016 年 8 月 22 日 (月) 8 時 16 分 49 秒 (日本時間)

2×10287+9

c275

composite cofactor 合成数の残り
36895207737701721624593571948965268723345637574175189207111144430793116400487054322784569778188844084997670180293648103931941525749739307341741164877346092363574314333608269958399655136773058115400034929031973974875176912413206856627248454001574461495273134609334271151269529<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 21, 2016 22:18:07 UTC 2016 年 2 月 22 日 (月) 7 時 18 分 7 秒 (日本時間)
4511e61800 / 4306Dmitry DomanovAugust 21, 2016 15:14:11 UTC 2016 年 8 月 22 日 (月) 0 時 14 分 11 秒 (日本時間)

2×10289+9

c280

composite cofactor 合成数の残り
1401640091294529427744635541896744488932655901231790487368132756732024218807663637610555139235081620018109634299434260572289286250772720065012905895835423574380770915061636958672376227301494944896392051507522215902763567254578994063725038192227353265362652410272638926976424044963<280>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 21, 2016 22:17:55 UTC 2016 年 2 月 22 日 (月) 7 時 17 分 55 秒 (日本時間)
4511e61800 / 4306Dmitry DomanovAugust 22, 2016 08:18:02 UTC 2016 年 8 月 22 日 (月) 17 時 18 分 2 秒 (日本時間)

2×10290+9

c275

composite cofactor 合成数の残り
37826967304722796033099909136610932179540404749468169634902699501888126358873324493054712591136752833521675777565051555904647469685174324404210095694316111272273003354182417810013244654959540204634645474413569905946917094315751049860544937945783033769204887912809646339020739<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 21, 2016 22:17:37 UTC 2016 年 2 月 22 日 (月) 7 時 17 分 37 秒 (日本時間)
4511e61800 / 4306Dmitry DomanovAugust 22, 2016 08:17:44 UTC 2016 年 8 月 22 日 (月) 17 時 17 分 44 秒 (日本時間)

2×10293+9

c245

composite cofactor 合成数の残り
18710581553897135067943382445823688944818401395869924728728373133750077902322013168384806934964604228092070778741324813941172143853447434035711114549396573362821254820535781912650347777067142711373200110403920531900384290509781078393037367802209<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 24, 2016 07:49:55 UTC 2016 年 2 月 24 日 (水) 16 時 49 分 55 秒 (日本時間)
4511e61800 / 4306Dmitry DomanovAugust 22, 2016 14:45:23 UTC 2016 年 8 月 22 日 (月) 23 時 45 分 23 秒 (日本時間)

2×10294+9

c256

composite cofactor 合成数の残り
1596500838285947238855364880975870235152361229192392357244717102979613849075620544699100674562866766753471436524579860713539691062139824656568682751516793710560691533014816374885358294147778131261967042076369030701795464066615751211308881477481277144881881<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 21, 2016 22:17:18 UTC 2016 年 2 月 22 日 (月) 7 時 17 分 18 秒 (日本時間)
4511e61800 / 4306Dmitry DomanovAugust 22, 2016 14:26:51 UTC 2016 年 8 月 22 日 (月) 23 時 26 分 51 秒 (日本時間)

2×10295+9

c255

composite cofactor 合成数の残り
700599094466021547253159843378611226081475306730880419287089777581008161536729565887468442411519055766762955560106782773159167422326569171450210915245626064267890807724032867974747167094353831451523519613664615954631502454285033801953777112837548725259509<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 21, 2016 22:17:05 UTC 2016 年 2 月 22 日 (月) 7 時 17 分 5 秒 (日本時間)
4511e61800 / 4306Dmitry DomanovAugust 22, 2016 14:27:31 UTC 2016 年 8 月 22 日 (月) 23 時 27 分 31 秒 (日本時間)

2×10297+9

c241

composite cofactor 合成数の残り
8418219147973387859982425512775602337643481408332454256016474263490973172277534157196465637634326219314480320372327629787257844009937605244566704322072031936033107241245929950037387517676980952655607514958929162555371484311525766110492346747<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 24, 2016 07:50:14 UTC 2016 年 2 月 24 日 (水) 16 時 50 分 14 秒 (日本時間)
4511e61800 / 4306Dmitry DomanovAugust 23, 2016 14:02:56 UTC 2016 年 8 月 23 日 (火) 23 時 2 分 56 秒 (日本時間)

2×10299+9

c285

composite cofactor 合成数の残り
600819806604101705241666026227393868702925226497760233492226899898856115266403689821753977192795378028500040518366224467398179833219930736910125314914743568487080802853502751493297298090096097667289295056813637187954410221411853991836129610284916604059014468229886943960623557914879589<285>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 21, 2016 22:14:19 UTC 2016 年 2 月 22 日 (月) 7 時 14 分 19 秒 (日本時間)
4511e61800 / 4306Dmitry DomanovAugust 22, 2016 08:17:07 UTC 2016 年 8 月 22 日 (月) 17 時 17 分 7 秒 (日本時間)

2×10300+9

c272

name 名前Dmitry Domanov
date 日付February 16, 2016 07:31:58 UTC 2016 年 2 月 16 日 (火) 16 時 31 分 58 秒 (日本時間)
composite number 合成数
62545520428384161088784369628769062159987036050787650375938039350227134144149824320905184702069468044206734039016673668877034730407022204324474659779100976034050461232853059388468347162642312027434145288832764041351986613117129616012008587905215709307237603791625459241201<272>
prime factors 素因数
1839193045493931021666524196602513728493011<43>
34007044873088363962772869408363926013681729194284393498315900488315298774601036015533359173358809551917357221707672476366325295555784429998181541377907225650798856693759416408827910889949625053589924969637047546877973630967525291<230>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3573992853
Step 1 took 117779ms
Step 2 took 32293ms
********** Factor found in step 2: 1839193045493931021666524196602513728493011
Found probable prime factor of 43 digits: 1839193045493931021666524196602513728493011

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovFebruary 13, 2016 23:59:39 UTC 2016 年 2 月 14 日 (日) 8 時 59 分 39 秒 (日本時間)
4511e61200 / 4173Dmitry DomanovFebruary 15, 2016 14:19:31 UTC 2016 年 2 月 15 日 (月) 23 時 19 分 31 秒 (日本時間)