Table of contents 目次

44×10109-719

c108

name 名前Jo Yeong Uk
date 日付February 22, 2009 14:12:33 UTC 2009 年 2 月 22 日 (日) 23 時 12 分 33 秒 (日本時間)
composite number 合成数
669710806697108066971080669710806697108066971080669710806697108066971080669710806697108066971080669710806697<108>
prime factors 素因数
35566845797976201162695764745383432956709<41>
18829637311701547205216682636999200838650523549983041259903340871733<68>
factorization results 素因数分解の結果
Number: 48881_109
N=669710806697108066971080669710806697108066971080669710806697108066971080669710806697108066971080669710806697
  ( 108 digits)
SNFS difficulty: 111 digits.
Divisors found:
 r1=35566845797976201162695764745383432956709
 r2=18829637311701547205216682636999200838650523549983041259903340871733
Version: 
Total time: 0.38 hours.
Scaled time: 0.91 units (timescale=2.379).
Factorization parameters were as follows:
n: 669710806697108066971080669710806697108066971080669710806697108066971080669710806697108066971080669710806697
m: 10000000000000000000000
deg: 5
c5: 22
c0: -355
skew: 1.74
type: snfs
lss: 1
rlim: 320000
alim: 320000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 320000/320000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [160000, 300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 961229
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 43983 x 44216
Total sieving time: 0.34 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,111,5,0,0,0,0,0,0,0,0,320000,320000,25,25,44,44,2.2,2.2,20000
total time: 0.38 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)

44×10111-719

c98

name 名前Jo Yeong Uk
date 日付February 22, 2009 14:41:05 UTC 2009 年 2 月 22 日 (日) 23 時 41 分 5 秒 (日本時間)
composite number 合成数
36129142893540309774385216913572919724754103318722012008593516148461445958436410349932217364589307<98>
prime factors 素因数
1351980281510634921679265723748664648148189<43>
26723128574901564786591298311795686272646239432459060663<56>
factorization results 素因数分解の結果
Number: 48881_111
N=36129142893540309774385216913572919724754103318722012008593516148461445958436410349932217364589307
  ( 98 digits)
SNFS difficulty: 113 digits.
Divisors found:
 r1=1351980281510634921679265723748664648148189
 r2=26723128574901564786591298311795686272646239432459060663
Version: 
Total time: 0.41 hours.
Scaled time: 0.98 units (timescale=2.372).
Factorization parameters were as follows:
n: 36129142893540309774385216913572919724754103318722012008593516148461445958436410349932217364589307
m: 20000000000000000000000
deg: 5
c5: 55
c0: -284
skew: 1.39
type: snfs
lss: 1
rlim: 360000
alim: 360000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 360000/360000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [180000, 330001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 982594
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 49757 x 49991
Total sieving time: 0.37 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,113,5,0,0,0,0,0,0,0,0,360000,360000,25,25,45,45,2.2,2.2,25000
total time: 0.41 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)

44×10118-719

c118

name 名前Erik Branger
date 日付February 22, 2009 15:28:46 UTC 2009 年 2 月 23 日 (月) 0 時 28 分 46 秒 (日本時間)
composite number 合成数
6984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126983<118>
prime factors 素因数
416440717606357993741576196275666721789252219034067903<54>
16770999301583074158031570541847272998272867034768728791605138361<65>
factorization results 素因数分解の結果
Number: 48881_118
N=6984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126983
  ( 118 digits)
SNFS difficulty: 119 digits.
Divisors found:
 r1=416440717606357993741576196275666721789252219034067903
 r2=16770999301583074158031570541847272998272867034768728791605138361
Version: 
Total time: 1.68 hours.
Scaled time: 1.66 units (timescale=0.989).
Factorization parameters were as follows:
n: 6984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126983
m: 200000000000000000000000
deg: 5
c5: 1375
c0: -71
skew: 0.55
type: snfs
lss: 1
rlim: 700000
alim: 700000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [350000, 600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 87398 x 87646
Total sieving time: 1.68 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,119,5,0,0,0,0,0,0,0,0,700000,700000,25,25,45,45,2.2,2.2,50000
total time: 1.68 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 KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)

44×10124-719

c104

name 名前Serge Batalov
date 日付February 23, 2009 06:09:05 UTC 2009 年 2 月 23 日 (月) 15 時 9 分 5 秒 (日本時間)
composite number 合成数
34743946429165779062937821146668289023142555909174816609220785749295779247311346548900553474735071224219<104>
prime factors 素因数
25396419038491858287986340454153<32>
1368064780176544709535508833324802532043828326786680880921691567406497923<73>
factorization results 素因数分解の結果
SNFS difficulty: 126 digits.
Divisors found:
 r1=25396419038491858287986340454153
 r2=1368064780176544709535508833324802532043828326786680880921691567406497923
Version:
Total time: 1.24 hours.
Scaled time: 3.32 units (timescale=2.677).
Factorization parameters were as follows:
n: 34743946429165779062937821146668289023142555909174816609220785749295779247311346548900553474735071224219
m: 10000000000000000000000000
c5: 22
c0: -355
skew: 1.74
type: snfs
lss: 1
rlim: 890000
alim: 890000
lpbr: 25
lpba: 25
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 890000/890000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 48/48
Sieved rational special-q in [445000, 745001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 113205 x 113450
Total sieving time: 1.24 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,126,5,0,0,0,0,0,0,0,0,890000,890000,25,25,48,48,2.3,2.3,50000
total time: 1.24 hours.
software ソフトウェア
Msieve-1.39
execution environment 実行環境
Q6600,WinXP-32,Cygwin

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)

44×10125-719

c118

name 名前Erik Branger
date 日付February 22, 2009 17:55:53 UTC 2009 年 2 月 23 日 (月) 2 時 55 分 53 秒 (日本時間)
composite number 合成数
4214368686790102824475544972011472419570332450119467343144868288579673570537216715847822445421317865443217046919048369<118>
prime factors 素因数
12477073105331465445789572500714681458613<41>
337769014512650326216567018186916042346285216264847869760875598543396841692813<78>
factorization results 素因数分解の結果
Number: 48881_125
N=4214368686790102824475544972011472419570332450119467343144868288579673570537216715847822445421317865443217046919048369
  ( 118 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=12477073105331465445789572500714681458613
 r2=337769014512650326216567018186916042346285216264847869760875598543396841692813
Version: 
Total time: 2.17 hours.
Scaled time: 2.09 units (timescale=0.965).
Factorization parameters were as follows:
n: 4214368686790102824475544972011472419570332450119467343144868288579673570537216715847822445421317865443217046919048369
m: 10000000000000000000000000
deg: 5
c5: 44
c0: -71
skew: 1.10
type: snfs
lss: 1
rlim: 900000
alim: 900000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3Factor base limits: 900000/900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [450000, 750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 135095 x 135343
Total sieving time: 2.17 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,126,5,0,0,0,0,0,0,0,0,900000,900000,26,26,46,46,2.3,2.3,50000
total time: 2.17 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 KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)

44×10132-719

c92

name 名前Jo Yeong Uk
date 日付February 22, 2009 16:32:35 UTC 2009 年 2 月 23 日 (月) 1 時 32 分 35 秒 (日本時間)
composite number 合成数
29427280638876298352094944415671764174672400927972612484598350746797758877263449175173702423<92>
prime factors 素因数
260189102411844591320932191190753612446510353<45>
113099589360575310311511645016805083348433825191<48>
factorization results 素因数分解の結果
Sun Feb 22 23:46:51 2009  
Sun Feb 22 23:46:51 2009  
Sun Feb 22 23:46:51 2009  Msieve v. 1.39
Sun Feb 22 23:46:51 2009  random seeds: d93107a4 3bab7459
Sun Feb 22 23:46:51 2009  factoring 29427280638876298352094944415671764174672400927972612484598350746797758877263449175173702423 (92 digits)
Sun Feb 22 23:46:52 2009  searching for 15-digit factors
Sun Feb 22 23:46:52 2009  commencing quadratic sieve (92-digit input)
Sun Feb 22 23:46:53 2009  using multiplier of 2
Sun Feb 22 23:46:53 2009  using VC8 32kb sieve core
Sun Feb 22 23:46:53 2009  sieve interval: 36 blocks of size 32768
Sun Feb 22 23:46:53 2009  processing polynomials in batches of 6
Sun Feb 22 23:46:53 2009  using a sieve bound of 1776617 (67059 primes)
Sun Feb 22 23:46:53 2009  using large prime bound of 186544785 (27 bits)
Sun Feb 22 23:46:53 2009  using double large prime bound of 771630750831045 (42-50 bits)
Sun Feb 22 23:46:53 2009  using trial factoring cutoff of 50 bits
Sun Feb 22 23:46:53 2009  polynomial 'A' values have 12 factors
Mon Feb 23 01:30:43 2009  67582 relations (17465 full + 50117 combined from 829202 partial), need 67155
Mon Feb 23 01:30:44 2009  begin with 846667 relations
Mon Feb 23 01:30:44 2009  reduce to 169150 relations in 10 passes
Mon Feb 23 01:30:44 2009  attempting to read 169150 relations
Mon Feb 23 01:30:46 2009  recovered 169150 relations
Mon Feb 23 01:30:46 2009  recovered 148216 polynomials
Mon Feb 23 01:30:47 2009  attempting to build 67582 cycles
Mon Feb 23 01:30:47 2009  found 67582 cycles in 5 passes
Mon Feb 23 01:30:47 2009  distribution of cycle lengths:
Mon Feb 23 01:30:47 2009     length 1 : 17465
Mon Feb 23 01:30:47 2009     length 2 : 12674
Mon Feb 23 01:30:47 2009     length 3 : 11758
Mon Feb 23 01:30:47 2009     length 4 : 9043
Mon Feb 23 01:30:47 2009     length 5 : 6478
Mon Feb 23 01:30:47 2009     length 6 : 4270
Mon Feb 23 01:30:47 2009     length 7 : 2643
Mon Feb 23 01:30:47 2009     length 9+: 3251
Mon Feb 23 01:30:47 2009  largest cycle: 19 relations
Mon Feb 23 01:30:47 2009  matrix is 67059 x 67582 (17.7 MB) with weight 4108292 (60.79/col)
Mon Feb 23 01:30:47 2009  sparse part has weight 4108292 (60.79/col)
Mon Feb 23 01:30:48 2009  filtering completed in 3 passes
Mon Feb 23 01:30:48 2009  matrix is 63161 x 63225 (16.6 MB) with weight 3844548 (60.81/col)
Mon Feb 23 01:30:48 2009  sparse part has weight 3844548 (60.81/col)
Mon Feb 23 01:30:48 2009  saving the first 48 matrix rows for later
Mon Feb 23 01:30:48 2009  matrix is 63113 x 63225 (10.4 MB) with weight 2947191 (46.61/col)
Mon Feb 23 01:30:48 2009  sparse part has weight 2083604 (32.96/col)
Mon Feb 23 01:30:48 2009  matrix includes 64 packed rows
Mon Feb 23 01:30:48 2009  using block size 25290 for processor cache size 4096 kB
Mon Feb 23 01:30:48 2009  commencing Lanczos iteration
Mon Feb 23 01:30:48 2009  memory use: 9.4 MB
Mon Feb 23 01:31:14 2009  lanczos halted after 999 iterations (dim = 63111)
Mon Feb 23 01:31:14 2009  recovered 17 nontrivial dependencies
Mon Feb 23 01:31:14 2009  prp45 factor: 260189102411844591320932191190753612446510353
Mon Feb 23 01:31:14 2009  prp48 factor: 113099589360575310311511645016805083348433825191
Mon Feb 23 01:31:14 2009  elapsed time 01:44:23
execution environment 実行環境
Core 2 Quad Q6600, Windows Vista(tm) Ultimate K x64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)

44×10135-719

c131

name 名前Sinkiti Sibata
date 日付February 24, 2009 10:11:22 UTC 2009 年 2 月 24 日 (火) 19 時 11 分 22 秒 (日本時間)
composite number 合成数
19741361247618137465379709380242396996082685794251046404312949031843264359709137962054411678271446409158555883531352646665975719023<131>
prime factors 素因数
38357340097329560078233395558992864916910707708764623785880080749<65>
514669713737333210325188168649284923465893594557365709330203361227<66>
factorization results 素因数分解の結果
Number: 48881_135
N=19741361247618137465379709380242396996082685794251046404312949031843264359709137962054411678271446409158555883531352646665975719023
  ( 131 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=38357340097329560078233395558992864916910707708764623785880080749 (pp65)
 r2=514669713737333210325188168649284923465893594557365709330203361227 (pp66)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 9.13 hours.
Scaled time: 4.31 units (timescale=0.472).
Factorization parameters were as follows:
name: 48881_135
n: 19741361247618137465379709380242396996082685794251046404312949031843264359709137962054411678271446409158555883531352646665975719023
m: 1000000000000000000000000000
deg: 5
c5: 44
c0: -71
skew: 1.10
type: snfs
lss: 1
rlim: 1330000
alim: 1330000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1330000/1330000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [665000, 1415001)
Primes: RFBsize:102146, AFBsize:102624, largePrimes:3331762 encountered
Relations: rels:3328059, finalFF:289048
Max relations in full relation-set: 28
Initial matrix: 204836 x 289048 with sparse part having weight 25651418.
Pruned matrix : 181849 x 182937 with weight 12934923.
Total sieving time: 8.30 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.62 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1330000,1330000,26,26,48,48,2.3,2.3,75000
total time: 9.13 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)

44×10136-719

c124

name 名前Sinkiti Sibata
date 日付February 24, 2009 20:49:33 UTC 2009 年 2 月 25 日 (水) 5 時 49 分 33 秒 (日本時間)
composite number 合成数
1141653367044663660491761682722608073379051329153751902242675265147625385123173999076345161864440171891051539400931104961983<124>
prime factors 素因数
2744064447066890196809404077767207<34>
416044662604396313993951723092527975044912145201118051288551518737312394333927471726272169<90>
factorization results 素因数分解の結果
Number: 48881_136
N=1141653367044663660491761682722608073379051329153751902242675265147625385123173999076345161864440171891051539400931104961983
  ( 124 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=2744064447066890196809404077767207 (pp34)
 r2=416044662604396313993951723092527975044912145201118051288551518737312394333927471726272169 (pp90)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 9.29 hours.
Scaled time: 4.39 units (timescale=0.472).
Factorization parameters were as follows:
name: 48881_136
n: 1141653367044663660491761682722608073379051329153751902242675265147625385123173999076345161864440171891051539400931104961983
m: 2000000000000000000000000000
deg: 5
c5: 55
c0: -284
skew: 1.39
type: snfs
lss: 1
rlim: 1410000
alim: 1410000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1410000/1410000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [705000, 1455001)
Primes: RFBsize:107805, AFBsize:108301, largePrimes:3367603 encountered
Relations: rels:3384708, finalFF:322308
Max relations in full relation-set: 28
Initial matrix: 216173 x 322308 with sparse part having weight 27607988.
Pruned matrix : 185337 x 186481 with weight 12402631.
Total sieving time: 8.46 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.61 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,138,5,0,0,0,0,0,0,0,0,1410000,1410000,26,26,48,48,2.3,2.3,75000
total time: 9.29 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)

44×10137-719

c137

name 名前Sinkiti Sibata
date 日付February 25, 2009 09:12:01 UTC 2009 年 2 月 25 日 (水) 18 時 12 分 1 秒 (日本時間)
composite number 合成数
13213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213<137>
prime factors 素因数
340868543207612725222075573719347<33>
38763369270966856217289969579602950513973542633663421837299638535905817359925420336650549634976872218479<104>
factorization results 素因数分解の結果
Number: 48881_137
N=13213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213
  ( 137 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=340868543207612725222075573719347 (pp33)
 r2=38763369270966856217289969579602950513973542633663421837299638535905817359925420336650549634976872218479 (pp104)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 11.13 hours.
Scaled time: 4.76 units (timescale=0.428).
Factorization parameters were as follows:
name: 48881_137
n: 13213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213
m: 2000000000000000000000000000
deg: 5
c5: 275
c0: -142
skew: 0.88
type: snfs
lss: 1
rlim: 1450000
alim: 1450000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1450000/1450000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [725000, 1625001)
Primes: RFBsize:110630, AFBsize:110661, largePrimes:3552440 encountered
Relations: rels:3600847, finalFF:325726
Max relations in full relation-set: 28
Initial matrix: 221357 x 325726 with sparse part having weight 30493824.
Pruned matrix : 191788 x 192958 with weight 14833527.
Total sieving time: 10.14 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 0.75 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,138,5,0,0,0,0,0,0,0,0,1450000,1450000,26,26,48,48,2.3,2.3,75000
total time: 11.13 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)

44×10139-719

c114

name 名前Sinkiti Sibata
date 日付February 25, 2009 22:30:39 UTC 2009 年 2 月 26 日 (木) 7 時 30 分 39 秒 (日本時間)
composite number 合成数
330622098685434258936754116359866216587190321981358794573361525938189338670519776376487359516392275259786204089521<114>
prime factors 素因数
6461651849899623748232000554729<31>
51166807863622394221848695179553706577606524639170306964578149461210274319629978249<83>
factorization results 素因数分解の結果
Number: 48881_139
N=330622098685434258936754116359866216587190321981358794573361525938189338670519776376487359516392275259786204089521
  ( 114 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=6461651849899623748232000554729 (pp31)
 r2=51166807863622394221848695179553706577606524639170306964578149461210274319629978249 (pp83)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 11.95 hours.
Scaled time: 5.65 units (timescale=0.473).
Factorization parameters were as follows:
name: 48881_139
n: 330622098685434258936754116359866216587190321981358794573361525938189338670519776376487359516392275259786204089521
m: 10000000000000000000000000000
deg: 5
c5: 22
c0: -355
skew: 1.74
type: snfs
lss: 1
rlim: 1590000
alim: 1590000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1590000/1590000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [795000, 1695001)
Primes: RFBsize:120451, AFBsize:120405, largePrimes:3586520 encountered
Relations: rels:3542114, finalFF:272496
Max relations in full relation-set: 28
Initial matrix: 240922 x 272496 with sparse part having weight 24250856.
Pruned matrix : 230443 x 231711 with weight 18069601.
Total sieving time: 10.45 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.28 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1590000,1590000,26,26,48,48,2.3,2.3,100000
total time: 11.95 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)

44×10140-719

c116

name 名前Jo Yeong Uk
date 日付February 23, 2009 23:28:56 UTC 2009 年 2 月 24 日 (火) 8 時 28 分 56 秒 (日本時間)
composite number 合成数
53625073740481772972409824072405535386545820550053849846053767223604814908309704448037052570648052207497954687359487<116>
prime factors 素因数
509123278828127286216988563096938862260588684297<48>
105328269145172653612757075034695759465207254455961930240426228195271<69>
factorization results 素因数分解の結果
Number: 48881_140
N=53625073740481772972409824072405535386545820550053849846053767223604814908309704448037052570648052207497954687359487
  ( 116 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=509123278828127286216988563096938862260588684297
 r2=105328269145172653612757075034695759465207254455961930240426228195271
Version: 
Total time: 4.50 hours.
Scaled time: 10.74 units (timescale=2.389).
Factorization parameters were as follows:
n: 53625073740481772972409824072405535386545820550053849846053767223604814908309704448037052570648052207497954687359487
m: 10000000000000000000000000000
deg: 5
c5: 44
c0: -71
skew: 1.10
type: snfs
lss: 1
rlim: 1200000
alim: 1200000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [600000, 1100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 3360002
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 198140 x 198388
Total sieving time: 4.21 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1200000,1200000,26,26,48,48,2.3,2.3,50000
total time: 4.50 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)

44×10141-719

c94

name 名前Sinkiti Sibata
date 日付February 23, 2009 04:51:31 UTC 2009 年 2 月 23 日 (月) 13 時 51 分 31 秒 (日本時間)
composite number 合成数
4654990011293596264643196610177277729826715307937834774996988833394165195376426115665877041951<94>
prime factors 素因数
1689109804305687021321287700092427147181180249<46>
2755883601781023358092221328064703478054177727799<49>
factorization results 素因数分解の結果
Mon Feb 23 07:23:14 2009  Msieve v. 1.39
Mon Feb 23 07:23:14 2009  random seeds: df699430 3111daa0
Mon Feb 23 07:23:14 2009  factoring 4654990011293596264643196610177277729826715307937834774996988833394165195376426115665877041951 (94 digits)
Mon Feb 23 07:23:15 2009  searching for 15-digit factors
Mon Feb 23 07:23:17 2009  commencing quadratic sieve (94-digit input)
Mon Feb 23 07:23:17 2009  using multiplier of 39
Mon Feb 23 07:23:17 2009  using 32kb Intel Core sieve core
Mon Feb 23 07:23:17 2009  sieve interval: 36 blocks of size 32768
Mon Feb 23 07:23:17 2009  processing polynomials in batches of 6
Mon Feb 23 07:23:17 2009  using a sieve bound of 2059481 (76413 primes)
Mon Feb 23 07:23:17 2009  using large prime bound of 284208378 (28 bits)
Mon Feb 23 07:23:17 2009  using double large prime bound of 1646441586215862 (42-51 bits)
Mon Feb 23 07:23:17 2009  using trial factoring cutoff of 51 bits
Mon Feb 23 07:23:17 2009  polynomial 'A' values have 12 factors
Mon Feb 23 10:36:21 2009  76733 relations (19105 full + 57628 combined from 1093329 partial), need 76509
Mon Feb 23 10:36:22 2009  begin with 1112434 relations
Mon Feb 23 10:36:23 2009  reduce to 197760 relations in 11 passes
Mon Feb 23 10:36:23 2009  attempting to read 197760 relations
Mon Feb 23 10:36:26 2009  recovered 197760 relations
Mon Feb 23 10:36:26 2009  recovered 180870 polynomials
Mon Feb 23 10:36:27 2009  attempting to build 76733 cycles
Mon Feb 23 10:36:27 2009  found 76733 cycles in 6 passes
Mon Feb 23 10:36:27 2009  distribution of cycle lengths:
Mon Feb 23 10:36:27 2009     length 1 : 19105
Mon Feb 23 10:36:27 2009     length 2 : 13731
Mon Feb 23 10:36:27 2009     length 3 : 13102
Mon Feb 23 10:36:27 2009     length 4 : 10332
Mon Feb 23 10:36:27 2009     length 5 : 7683
Mon Feb 23 10:36:27 2009     length 6 : 5124
Mon Feb 23 10:36:27 2009     length 7 : 3231
Mon Feb 23 10:36:27 2009     length 9+: 4425
Mon Feb 23 10:36:27 2009  largest cycle: 17 relations
Mon Feb 23 10:36:27 2009  matrix is 76413 x 76733 (20.9 MB) with weight 5160119 (67.25/col)
Mon Feb 23 10:36:27 2009  sparse part has weight 5160119 (67.25/col)
Mon Feb 23 10:36:28 2009  filtering completed in 3 passes
Mon Feb 23 10:36:28 2009  matrix is 72426 x 72490 (19.8 MB) with weight 4900322 (67.60/col)
Mon Feb 23 10:36:28 2009  sparse part has weight 4900322 (67.60/col)
Mon Feb 23 10:36:28 2009  saving the first 48 matrix rows for later
Mon Feb 23 10:36:29 2009  matrix is 72378 x 72490 (13.7 MB) with weight 4007388 (55.28/col)
Mon Feb 23 10:36:29 2009  sparse part has weight 3153350 (43.50/col)
Mon Feb 23 10:36:29 2009  matrix includes 64 packed rows
Mon Feb 23 10:36:29 2009  using block size 28996 for processor cache size 1024 kB
Mon Feb 23 10:36:29 2009  commencing Lanczos iteration
Mon Feb 23 10:36:29 2009  memory use: 12.4 MB
Mon Feb 23 10:37:06 2009  lanczos halted after 1146 iterations (dim = 72376)
Mon Feb 23 10:37:06 2009  recovered 18 nontrivial dependencies
Mon Feb 23 10:37:07 2009  prp46 factor: 1689109804305687021321287700092427147181180249
Mon Feb 23 10:37:07 2009  prp49 factor: 2755883601781023358092221328064703478054177727799
Mon Feb 23 10:37:07 2009  elapsed time 03:13:53

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)

44×10142-719

c88

name 名前Jo Yeong Uk
date 日付February 22, 2009 14:45:40 UTC 2009 年 2 月 22 日 (日) 23 時 45 分 40 秒 (日本時間)
composite number 合成数
1200434510870455254743290303365774516525651954915925350818770002948070047475388968879049<88>
prime factors 素因数
38857779451858321390658667718439<32>
30893029087204983813564181049616963052872694625767854991<56>
factorization results 素因数分解の結果
Sun Feb 22 22:54:09 2009  
Sun Feb 22 22:54:09 2009  
Sun Feb 22 22:54:09 2009  Msieve v. 1.39
Sun Feb 22 22:54:09 2009  random seeds: 012cf744 94063b51
Sun Feb 22 22:54:09 2009  factoring 1200434510870455254743290303365774516525651954915925350818770002948070047475388968879049 (88 digits)
Sun Feb 22 22:54:10 2009  searching for 15-digit factors
Sun Feb 22 22:54:11 2009  commencing quadratic sieve (88-digit input)
Sun Feb 22 22:54:11 2009  using multiplier of 5
Sun Feb 22 22:54:11 2009  using VC8 32kb sieve core
Sun Feb 22 22:54:11 2009  sieve interval: 24 blocks of size 32768
Sun Feb 22 22:54:11 2009  processing polynomials in batches of 9
Sun Feb 22 22:54:11 2009  using a sieve bound of 1500533 (57333 primes)
Sun Feb 22 22:54:11 2009  using large prime bound of 120042640 (26 bits)
Sun Feb 22 22:54:11 2009  using double large prime bound of 348982681131840 (42-49 bits)
Sun Feb 22 22:54:11 2009  using trial factoring cutoff of 49 bits
Sun Feb 22 22:54:11 2009  polynomial 'A' values have 11 factors
Sun Feb 22 23:43:15 2009  57727 relations (15785 full + 41942 combined from 604889 partial), need 57429
Sun Feb 22 23:43:15 2009  begin with 620674 relations
Sun Feb 22 23:43:15 2009  reduce to 139072 relations in 9 passes
Sun Feb 22 23:43:15 2009  attempting to read 139072 relations
Sun Feb 22 23:43:17 2009  recovered 139072 relations
Sun Feb 22 23:43:17 2009  recovered 116567 polynomials
Sun Feb 22 23:43:17 2009  attempting to build 57727 cycles
Sun Feb 22 23:43:17 2009  found 57727 cycles in 5 passes
Sun Feb 22 23:43:17 2009  distribution of cycle lengths:
Sun Feb 22 23:43:17 2009     length 1 : 15785
Sun Feb 22 23:43:17 2009     length 2 : 11179
Sun Feb 22 23:43:17 2009     length 3 : 10318
Sun Feb 22 23:43:17 2009     length 4 : 7571
Sun Feb 22 23:43:17 2009     length 5 : 5283
Sun Feb 22 23:43:17 2009     length 6 : 3301
Sun Feb 22 23:43:17 2009     length 7 : 1998
Sun Feb 22 23:43:17 2009     length 9+: 2292
Sun Feb 22 23:43:17 2009  largest cycle: 19 relations
Sun Feb 22 23:43:17 2009  matrix is 57333 x 57727 (14.5 MB) with weight 3340533 (57.87/col)
Sun Feb 22 23:43:17 2009  sparse part has weight 3340533 (57.87/col)
Sun Feb 22 23:43:18 2009  filtering completed in 3 passes
Sun Feb 22 23:43:18 2009  matrix is 52958 x 53021 (13.4 MB) with weight 3087569 (58.23/col)
Sun Feb 22 23:43:18 2009  sparse part has weight 3087569 (58.23/col)
Sun Feb 22 23:43:18 2009  saving the first 48 matrix rows for later
Sun Feb 22 23:43:18 2009  matrix is 52910 x 53021 (9.2 MB) with weight 2470788 (46.60/col)
Sun Feb 22 23:43:18 2009  sparse part has weight 1876061 (35.38/col)
Sun Feb 22 23:43:18 2009  matrix includes 64 packed rows
Sun Feb 22 23:43:18 2009  using block size 21208 for processor cache size 4096 kB
Sun Feb 22 23:43:18 2009  commencing Lanczos iteration
Sun Feb 22 23:43:18 2009  memory use: 8.0 MB
Sun Feb 22 23:43:37 2009  lanczos halted after 838 iterations (dim = 52908)
Sun Feb 22 23:43:37 2009  recovered 17 nontrivial dependencies
Sun Feb 22 23:43:37 2009  prp32 factor: 38857779451858321390658667718439
Sun Feb 22 23:43:37 2009  prp56 factor: 30893029087204983813564181049616963052872694625767854991
Sun Feb 22 23:43:37 2009  elapsed time 00:49:28
execution environment 実行環境
Core 2 Quad Q6600, Windows Vista(tm) Ultimate x64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)

44×10143-719

c116

name 名前Jo Yeong Uk
date 日付February 24, 2009 05:49:57 UTC 2009 年 2 月 24 日 (火) 14 時 49 分 57 秒 (日本時間)
composite number 合成数
22118520990124458332699006534768476475381642269965611325044514221416868763053419753069680858556126450701594126497161<116>
prime factors 素因数
16407153915374855716140672893295921439<38>
1348102242729470640250881292514087976844275396957524728539042720088578215437399<79>
factorization results 素因数分解の結果
Number: 48881_143
N=22118520990124458332699006534768476475381642269965611325044514221416868763053419753069680858556126450701594126497161
  ( 116 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=16407153915374855716140672893295921439
 r2=1348102242729470640250881292514087976844275396957524728539042720088578215437399
Version: 
Total time: 5.53 hours.
Scaled time: 13.18 units (timescale=2.384).
Factorization parameters were as follows:
n: 22118520990124458332699006534768476475381642269965611325044514221416868763053419753069680858556126450701594126497161
m: 100000000000000000000000000000
deg: 5
c5: 11
c0: -1775
skew: 2.76
type: snfs
lss: 1
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [750000, 1350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 3676723
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 264624 x 264872
Total sieving time: 5.21 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,49,49,2.3,2.3,75000
total time: 5.53 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)

44×10144-719

c132

name 名前Erik Branger
date 日付February 24, 2009 06:24:58 UTC 2009 年 2 月 24 日 (火) 15 時 24 分 58 秒 (日本時間)
composite number 合成数
421986829509272820353632573560155796304665185167618184592094823146824649144255133281704521784352850104568736051129758745664803978407<132>
prime factors 素因数
27176738312456067705423924254415620270867506101379<50>
15527500933247063626950184057751950006067441741686919878574402788064647788046405133<83>
factorization results 素因数分解の結果
Number: 48881_144
N=421986829509272820353632573560155796304665185167618184592094823146824649144255133281704521784352850104568736051129758745664803978407
  ( 132 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=27176738312456067705423924254415620270867506101379
 r2=15527500933247063626950184057751950006067441741686919878574402788064647788046405133
Version: 
Total time: 9.10 hours.
Scaled time: 9.65 units (timescale=1.060).
Factorization parameters were as follows:
n: 421986829509272820353632573560155796304665185167618184592094823146824649144255133281704521784352850104568736051129758745664803978407
m: 100000000000000000000000000000
deg: 5
c5: 22
c0: -355
skew: 1.74
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 2200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 341023 x 341271
Total sieving time: 9.10 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 9.10 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--
351e6318 / 904118Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)
200Erik BrangerFebruary 23, 2009 21:34:38 UTC 2009 年 2 月 24 日 (火) 6 時 34 分 38 秒 (日本時間)

44×10148-719

c148

name 名前Robert Backstrom
date 日付February 25, 2009 05:29:44 UTC 2009 年 2 月 25 日 (水) 14 時 29 分 44 秒 (日本時間)
composite number 合成数
6984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126983<148>
prime factors 素因数
473996607386740060872943445846528011842562499<45>
14734550575440180609780035105536363694945692984151226981094395946180645394713692742435856565307183185517<104>
factorization results 素因数分解の結果
Number: n
N=6984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126983
  ( 148 digits)
SNFS difficulty: 151 digits.
Divisors found:

Wed Feb 25 16:18:01 2009  prp45 factor: 473996607386740060872943445846528011842562499
Wed Feb 25 16:18:01 2009  prp104 factor: 14734550575440180609780035105536363694945692984151226981094395946180645394713692742435856565307183185517
Wed Feb 25 16:18:01 2009  elapsed time 01:34:40 (Msieve 1.39 - dependency 6)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 22.68 hours.
Scaled time: 39.73 units (timescale=1.752).
Factorization parameters were as follows:
name: KA_4_8_147_1
n: 6984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126983
deg: 5
c5: 11
c0: -1775
m: 1000000000000000000000000000000
skew: 2.76
type: snfs
rlim: 2000000
alim: 2000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [1000000, 1788991)
Primes: RFBsize:148933, AFBsize:149372, largePrimes:13961450 encountered
Relations: rels:13132793, finalFF:269448
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1051593 hash collisions in 14069728 relations
Msieve: matrix is 367270 x 367518 (97.5 MB)

Total sieving time: 22.02 hours.
Total relation processing time: 0.65 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2000000,2000000,28,28,56,56,2.5,2.5,100000
total time: 22.68 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)

44×10149-719

c100

name 名前Sinkiti Sibata
date 日付February 23, 2009 22:48:17 UTC 2009 年 2 月 24 日 (火) 7 時 48 分 17 秒 (日本時間)
composite number 合成数
4324857540337690895886670133751822679873755496465154258190521001152601075515706549500196558668956403<100>
prime factors 素因数
1823386628589600235665888424988868096924179<43>
2371881789921313843032874446987776090309859711930752765857<58>
factorization results 素因数分解の結果
Mon Feb 23 13:53:09 2009  Msieve v. 1.39
Mon Feb 23 13:53:09 2009  random seeds: 79c73e94 b196d9d5
Mon Feb 23 13:53:09 2009  factoring 4324857540337690895886670133751822679873755496465154258190521001152601075515706549500196558668956403 (100 digits)
Mon Feb 23 13:53:10 2009  searching for 15-digit factors
Mon Feb 23 13:53:12 2009  commencing quadratic sieve (100-digit input)
Mon Feb 23 13:53:12 2009  using multiplier of 11
Mon Feb 23 13:53:12 2009  using 32kb Intel Core sieve core
Mon Feb 23 13:53:12 2009  sieve interval: 36 blocks of size 32768
Mon Feb 23 13:53:12 2009  processing polynomials in batches of 6
Mon Feb 23 13:53:12 2009  using a sieve bound of 2711333 (98824 primes)
Mon Feb 23 13:53:12 2009  using large prime bound of 406699950 (28 bits)
Mon Feb 23 13:53:12 2009  using double large prime bound of 3138292436875950 (43-52 bits)
Mon Feb 23 13:53:12 2009  using trial factoring cutoff of 52 bits
Mon Feb 23 13:53:12 2009  polynomial 'A' values have 13 factors
Tue Feb 24 02:43:55 2009  99124 relations (22994 full + 76130 combined from 1499481 partial), need 98920
Tue Feb 24 02:43:58 2009  begin with 1522475 relations
Tue Feb 24 02:43:59 2009  reduce to 263904 relations in 14 passes
Tue Feb 24 02:43:59 2009  attempting to read 263904 relations
Tue Feb 24 02:44:04 2009  recovered 263904 relations
Tue Feb 24 02:44:04 2009  recovered 255780 polynomials
Tue Feb 24 02:44:05 2009  attempting to build 99124 cycles
Tue Feb 24 02:44:05 2009  found 99124 cycles in 6 passes
Tue Feb 24 02:44:05 2009  distribution of cycle lengths:
Tue Feb 24 02:44:05 2009     length 1 : 22994
Tue Feb 24 02:44:05 2009     length 2 : 16653
Tue Feb 24 02:44:05 2009     length 3 : 16437
Tue Feb 24 02:44:05 2009     length 4 : 13818
Tue Feb 24 02:44:05 2009     length 5 : 10262
Tue Feb 24 02:44:05 2009     length 6 : 7282
Tue Feb 24 02:44:05 2009     length 7 : 4731
Tue Feb 24 02:44:05 2009     length 9+: 6947
Tue Feb 24 02:44:05 2009  largest cycle: 22 relations
Tue Feb 24 02:44:05 2009  matrix is 98824 x 99124 (27.6 MB) with weight 6829409 (68.90/col)
Tue Feb 24 02:44:05 2009  sparse part has weight 6829409 (68.90/col)
Tue Feb 24 02:44:07 2009  filtering completed in 3 passes
Tue Feb 24 02:44:07 2009  matrix is 95251 x 95314 (26.6 MB) with weight 6588098 (69.12/col)
Tue Feb 24 02:44:07 2009  sparse part has weight 6588098 (69.12/col)
Tue Feb 24 02:44:07 2009  saving the first 48 matrix rows for later
Tue Feb 24 02:44:08 2009  matrix is 95203 x 95314 (16.3 MB) with weight 5168196 (54.22/col)
Tue Feb 24 02:44:08 2009  sparse part has weight 3703985 (38.86/col)
Tue Feb 24 02:44:08 2009  matrix includes 64 packed rows
Tue Feb 24 02:44:08 2009  using block size 38125 for processor cache size 1024 kB
Tue Feb 24 02:44:08 2009  commencing Lanczos iteration
Tue Feb 24 02:44:08 2009  memory use: 15.9 MB
Tue Feb 24 02:45:13 2009  lanczos halted after 1507 iterations (dim = 95201)
Tue Feb 24 02:45:13 2009  recovered 17 nontrivial dependencies
Tue Feb 24 02:45:15 2009  prp43 factor: 1823386628589600235665888424988868096924179
Tue Feb 24 02:45:15 2009  prp58 factor: 2371881789921313843032874446987776090309859711930752765857
Tue Feb 24 02:45:15 2009  elapsed time 12:52:06

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)

44×10150-719

c127

name 名前Erik Branger
date 日付February 24, 2009 17:33:52 UTC 2009 年 2 月 25 日 (水) 2 時 33 分 52 秒 (日本時間)
composite number 合成数
2346483040319930262471884695240655852973736090122040956860740182038035783923398759608186873543390899886975864020261543389715359<127>
prime factors 素因数
230042934078513792659027921169867040472521633549158310061<57>
10200196105649887861156671475312764849458021711987665441965423462292219<71>
factorization results 素因数分解の結果
Number: 48881_150
N=2346483040319930262471884695240655852973736090122040956860740182038035783923398759608186873543390899886975864020261543389715359
  ( 127 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=230042934078513792659027921169867040472521633549158310061
 r2=10200196105649887861156671475312764849458021711987665441965423462292219
Version: 
Total time: 19.56 hours.
Scaled time: 20.23 units (timescale=1.034).
Factorization parameters were as follows:
n: 2346483040319930262471884695240655852973736090122040956860740182038035783923398759608186873543390899886975864020261543389715359
m: 1000000000000000000000000000000
deg: 5
c5: 44
c0: -71
skew: 1.10
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1200000, 2000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 433086 x 433334
Total sieving time: 19.56 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 19.56 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
351e6904118Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)
786Jo Yeong UkFebruary 24, 2009 00:58:16 UTC 2009 年 2 月 24 日 (火) 9 時 58 分 16 秒 (日本時間)

44×10151-719

c107

name 名前Sinkiti Sibata
date 日付February 24, 2009 00:25:49 UTC 2009 年 2 月 24 日 (火) 9 時 25 分 49 秒 (日本時間)
composite number 合成数
36782288980608025602558997767137002692332449728901869109100194795392576159672152415241702975132762944183977<107>
prime factors 素因数
425947598878060367961552767720056277<36>
86354023540670324234290958731200652262153362934003180239457072040500101<71>
factorization results 素因数分解の結果
Number: 48881_151
N=36782288980608025602558997767137002692332449728901869109100194795392576159672152415241702975132762944183977
  ( 107 digits)
Divisors found:
 r1=425947598878060367961552767720056277 (pp36)
 r2=86354023540670324234290958731200652262153362934003180239457072040500101 (pp71)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 18.41 hours.
Scaled time: 8.71 units (timescale=0.473).
Factorization parameters were as follows:
name: 48881_151
n: 36782288980608025602558997767137002692332449728901869109100194795392576159672152415241702975132762944183977
skew: 12055.98
# norm 7.62e+14
c5: 155700
c4: 1637779484
c3: -13851048219839
c2: -236112434457720744
c1: -3660715319507968407076
c0: 16672546580673607696079200
# alpha -6.72
Y1: 92626107473
Y0: -188221650890861899581
# Murphy_E 1.53e-09
# M 18157611387834815042861964823819336260349267121385750848762299243356676082757506236419679403295869746734284
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: RFBsize:183072, AFBsize:183993, largePrimes:4418375 encountered
Relations: rels:4476604, finalFF:446496
Max relations in full relation-set: 28
Initial matrix: 367151 x 446496 with sparse part having weight 33191043.
Pruned matrix : 303955 x 305854 with weight 19226197.
Total sieving time: 15.49 hours.
Total relation processing time: 0.33 hours.
Matrix solve time: 2.39 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 18.41 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)

44×10153-719

c130

name 名前Jo Yeong Uk
date 日付February 22, 2009 23:59:11 UTC 2009 年 2 月 23 日 (月) 8 時 59 分 11 秒 (日本時間)
composite number 合成数
9881910168717163209631261810317703627882659164497899775880673087419777791936683716199703007690664433555697694512695772842739433463<130>
prime factors 素因数
480561239432935951772923342469<30>
composite cofactor 合成数の残り
20563269273189518839408618741350859979878540178289245336713437567214603823608381501320185903034897227<101>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 9881910168717163209631261810317703627882659164497899775880673087419777791936683716199703007690664433555697694512695772842739433463 (130 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1617530254
Step 1 took 3914ms
Step 2 took 2376ms
********** Factor found in step 2: 480561239432935951772923342469
Found probable prime factor of 30 digits: 480561239432935951772923342469
Composite cofactor 20563269273189518839408618741350859979878540178289245336713437567214603823608381501320185903034897227 has 101 digits
execution environment 実行環境
Core 2 Quad Q6700

c101

name 名前Jo Yeong Uk
date 日付February 23, 2009 23:29:47 UTC 2009 年 2 月 24 日 (火) 8 時 29 分 47 秒 (日本時間)
composite number 合成数
20563269273189518839408618741350859979878540178289245336713437567214603823608381501320185903034897227<101>
prime factors 素因数
207788945034135538746511370141<30>
98962287285357687567718782537306001105195681542297973648064568489776647<71>
factorization results 素因数分解の結果
Number: 48881_153
N=20563269273189518839408618741350859979878540178289245336713437567214603823608381501320185903034897227
  ( 101 digits)
Divisors found:
 r1=207788945034135538746511370141
 r2=98962287285357687567718782537306001105195681542297973648064568489776647
Version: 
Total time: 2.54 hours.
Scaled time: 6.07 units (timescale=2.385).
Factorization parameters were as follows:
name: 48881_153
n: 20563269273189518839408618741350859979878540178289245336713437567214603823608381501320185903034897227
skew: 5676.13
# norm 1.86e+14
c5: 344520
c4: -1637807466
c3: -26734948702069
c2: 70694864340124641
c1: 482804719370645285549
c0: 199362126528802262426345
# alpha -6.87
Y1: 36487728641
Y0: -9019391019254834158
# Murphy_E 3.44e-09
# M 15579905984155218821420874809478929204387125506285712518361026215595714425854941028538745894119301401
type: gnfs
rlim: 1200000
alim: 1200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [600000, 1050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4083039
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 209301 x 209549
Polynomial selection time: 0.19 hours.
Total sieving time: 1.93 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
gnfs,100,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,26,26,49,49,2.5,2.5,50000
total time: 2.54 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)

44×10155-719

c122

name 名前Jo Yeong Uk
date 日付February 22, 2009 23:33:08 UTC 2009 年 2 月 23 日 (月) 8 時 33 分 8 秒 (日本時間)
composite number 合成数
14603078303564818279173845988926349653740533214373454335871022413890641803324821089370234331992907488797307054889512926117<122>
prime factors 素因数
440832314293904601752619068922493<33>
composite cofactor 合成数の残り
33126152121935620473093722297086995034869661998940995868094417359149617683041111125853769<89>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 14603078303564818279173845988926349653740533214373454335871022413890641803324821089370234331992907488797307054889512926117 (122 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3845036566
Step 1 took 3945ms
Step 2 took 2293ms
********** Factor found in step 2: 440832314293904601752619068922493
Found probable prime factor of 33 digits: 440832314293904601752619068922493
Composite cofactor 33126152121935620473093722297086995034869661998940995868094417359149617683041111125853769 has 89 digits
execution environment 実行環境
Core 2 Quad Q6700

c89

name 名前Jo Yeong Uk
date 日付February 23, 2009 23:34:23 UTC 2009 年 2 月 24 日 (火) 8 時 34 分 23 秒 (日本時間)
composite number 合成数
33126152121935620473093722297086995034869661998940995868094417359149617683041111125853769<89>
prime factors 素因数
261205238291645927272402074009059256239<39>
126820397395510759541604069650822061270444804667271<51>
factorization results 素因数分解の結果
Tue Feb 24 00:48:15 2009  
Tue Feb 24 00:48:15 2009  
Tue Feb 24 00:48:15 2009  Msieve v. 1.39
Tue Feb 24 00:48:15 2009  random seeds: 5915a884 8e521e17
Tue Feb 24 00:48:15 2009  factoring 33126152121935620473093722297086995034869661998940995868094417359149617683041111125853769 (89 digits)
Tue Feb 24 00:48:16 2009  searching for 15-digit factors
Tue Feb 24 00:48:17 2009  commencing quadratic sieve (89-digit input)
Tue Feb 24 00:48:17 2009  using multiplier of 1
Tue Feb 24 00:48:17 2009  using VC8 32kb sieve core
Tue Feb 24 00:48:17 2009  sieve interval: 32 blocks of size 32768
Tue Feb 24 00:48:17 2009  processing polynomials in batches of 7
Tue Feb 24 00:48:17 2009  using a sieve bound of 1550243 (59000 primes)
Tue Feb 24 00:48:17 2009  using large prime bound of 124019440 (26 bits)
Tue Feb 24 00:48:17 2009  using double large prime bound of 370067932007440 (42-49 bits)
Tue Feb 24 00:48:17 2009  using trial factoring cutoff of 49 bits
Tue Feb 24 00:48:17 2009  polynomial 'A' values have 11 factors
Tue Feb 24 01:44:43 2009  59380 relations (15995 full + 43385 combined from 624990 partial), need 59096
Tue Feb 24 01:44:48 2009  begin with 640985 relations
Tue Feb 24 01:44:48 2009  reduce to 143986 relations in 10 passes
Tue Feb 24 01:44:48 2009  attempting to read 143986 relations
Tue Feb 24 01:44:50 2009  recovered 143986 relations
Tue Feb 24 01:44:50 2009  recovered 118738 polynomials
Tue Feb 24 01:44:50 2009  attempting to build 59380 cycles
Tue Feb 24 01:44:50 2009  found 59380 cycles in 5 passes
Tue Feb 24 01:44:50 2009  distribution of cycle lengths:
Tue Feb 24 01:44:50 2009     length 1 : 15995
Tue Feb 24 01:44:50 2009     length 2 : 11514
Tue Feb 24 01:44:50 2009     length 3 : 10428
Tue Feb 24 01:44:50 2009     length 4 : 7909
Tue Feb 24 01:44:50 2009     length 5 : 5509
Tue Feb 24 01:44:50 2009     length 6 : 3484
Tue Feb 24 01:44:50 2009     length 7 : 2091
Tue Feb 24 01:44:50 2009     length 9+: 2450
Tue Feb 24 01:44:50 2009  largest cycle: 17 relations
Tue Feb 24 01:44:50 2009  matrix is 59000 x 59380 (15.1 MB) with weight 3493763 (58.84/col)
Tue Feb 24 01:44:50 2009  sparse part has weight 3493763 (58.84/col)
Tue Feb 24 01:44:51 2009  filtering completed in 3 passes
Tue Feb 24 01:44:51 2009  matrix is 54792 x 54855 (14.1 MB) with weight 3246248 (59.18/col)
Tue Feb 24 01:44:51 2009  sparse part has weight 3246248 (59.18/col)
Tue Feb 24 01:44:51 2009  saving the first 48 matrix rows for later
Tue Feb 24 01:44:51 2009  matrix is 54744 x 54855 (10.2 MB) with weight 2652281 (48.35/col)
Tue Feb 24 01:44:51 2009  sparse part has weight 2118421 (38.62/col)
Tue Feb 24 01:44:51 2009  matrix includes 64 packed rows
Tue Feb 24 01:44:51 2009  using block size 21942 for processor cache size 4096 kB
Tue Feb 24 01:44:52 2009  commencing Lanczos iteration
Tue Feb 24 01:44:52 2009  memory use: 8.7 MB
Tue Feb 24 01:45:13 2009  lanczos halted after 867 iterations (dim = 54742)
Tue Feb 24 01:45:13 2009  recovered 15 nontrivial dependencies
Tue Feb 24 01:45:13 2009  prp39 factor: 261205238291645927272402074009059256239
Tue Feb 24 01:45:13 2009  prp51 factor: 126820397395510759541604069650822061270444804667271
Tue Feb 24 01:45:13 2009  elapsed time 00:56:58
execution environment 実行環境
Core 2 Quad Q6600, Windows Vista(tm) Ultimate K x64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)

44×10157-719

c156

name 名前Ignacio Santos
date 日付February 24, 2009 20:25:36 UTC 2009 年 2 月 25 日 (水) 5 時 25 分 36 秒 (日本時間)
composite number 合成数
669710806697108066971080669710806697108066971080669710806697108066971080669710806697108066971080669710806697108066971080669710806697108066971080669710806697<156>
prime factors 素因数
266760531775608133956050583465012094689794027545223607047<57>
2510531832574284225993222640708878791275251483907369761442063478864181134791112368628433935088415951<100>
factorization results 素因数分解の結果
Number: 48881_157
N=669710806697108066971080669710806697108066971080669710806697108066971080669710806697108066971080669710806697108066971080669710806697108066971080669710806697
  ( 156 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=266760531775608133956050583465012094689794027545223607047 (pp57)
 r2=2510531832574284225993222640708878791275251483907369761442063478864181134791112368628433935088415951 (pp100)
Version: Msieve-1.39
Total time: 26.26 hours.
Scaled time: 67.52 units (timescale=2.571).
Factorization parameters were as follows:
n: 669710806697108066971080669710806697108066971080669710806697108066971080669710806697108066971080669710806697108066971080669710806697108066971080669710806697
m: 20000000000000000000000000000000
deg: 5
c5: 275
c0: -142
skew: 0.88
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1550000, 2950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 538218 x 538466
Total sieving time: 26.26 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,158,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 26.26 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)
786Jo Yeong UkFebruary 24, 2009 00:58:33 UTC 2009 年 2 月 24 日 (火) 9 時 58 分 33 秒 (日本時間)

44×10162-719

c131

name 名前Jo Yeong Uk
date 日付February 25, 2009 16:14:16 UTC 2009 年 2 月 26 日 (木) 1 時 14 分 16 秒 (日本時間)
composite number 合成数
89025649879776563556284994705112048537492877537816182828421619511054800970064111601633295089238610188889885975117868575212627174199<131>
prime factors 素因数
2919528487754485360741130920221825593218288436977792273<55>
30493160198018619499137574747553107457658730557098544861937924757079677957063<77>
factorization results 素因数分解の結果
Number: 48881_162
N=89025649879776563556284994705112048537492877537816182828421619511054800970064111601633295089238610188889885975117868575212627174199
  ( 131 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=2919528487754485360741130920221825593218288436977792273
 r2=30493160198018619499137574747553107457658730557098544861937924757079677957063
Version: 
Total time: 23.99 hours.
Scaled time: 57.03 units (timescale=2.377).
Factorization parameters were as follows:
n: 89025649879776563556284994705112048537492877537816182828421619511054800970064111601633295089238610188889885975117868575212627174199
m: 200000000000000000000000000000000
deg: 5
c5: 275
c0: -142
skew: 0.88
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2200000, 4100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9810253
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 738638 x 738886
Total sieving time: 21.56 hours.
Total relation processing time: 0.93 hours.
Matrix solve time: 1.17 hours.
Time per square root: 0.33 hours.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 23.99 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)
786Jo Yeong UkFebruary 24, 2009 00:58:51 UTC 2009 年 2 月 24 日 (火) 9 時 58 分 51 秒 (日本時間)

44×10163-719

c145

name 名前Ignacio Santos
date 日付February 25, 2009 12:29:01 UTC 2009 年 2 月 25 日 (水) 21 時 29 分 1 秒 (日本時間)
composite number 合成数
1213316282528877603116799145583708290172539600829303853559907218216047380074537193956932129439123596354105227950875751697368095787851087630205837<145>
prime factors 素因数
2090142133341823514836371166394869125392607600423305654469844115347859<70>
580494629132693000760167098993643357602606695180416440687702991593086018143<75>
factorization results 素因数分解の結果
Number: 48881_163
N=1213316282528877603116799145583708290172539600829303853559907218216047380074537193956932129439123596354105227950875751697368095787851087630205837
  ( 145 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=2090142133341823514836371166394869125392607600423305654469844115347859 (pp70)
 r2=580494629132693000760167098993643357602606695180416440687702991593086018143 (pp75)
Version: Msieve-1.39
Total time: 42.36 hours.
Scaled time: 108.90 units (timescale=2.571).
Factorization parameters were as follows:
n: 1213316282528877603116799145583708290172539600829303853559907218216047380074537193956932129439123596354105227950875751697368095787851087630205837
m: 200000000000000000000000000000000
deg: 5
c5: 1375
c0: -71
skew: 0.55
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1950000, 4150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 732974 x 733222
Total sieving time: 42.36 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 42.36 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)
786Jo Yeong UkFebruary 24, 2009 00:59:05 UTC 2009 年 2 月 24 日 (火) 9 時 59 分 5 秒 (日本時間)

44×10165-719

c145

name 名前Jo Yeong Uk
date 日付February 23, 2009 01:35:58 UTC 2009 年 2 月 23 日 (月) 10 時 35 分 58 秒 (日本時間)
composite number 合成数
4094307667221849768503331020912509608304619865549751287988453380418056262380073505171906009921330949575502129726494033608850944517940838122134819<145>
prime factors 素因数
4682812091093777041353233063<28>
874326705316405572786123234035850728935404455548662025784508076079796335019128265791706308917733245997267724658335013<117>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 4094307667221849768503331020912509608304619865549751287988453380418056262380073505171906009921330949575502129726494033608850944517940838122134819 (145 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2266374876
Step 1 took 4701ms
Step 2 took 2623ms
********** Factor found in step 2: 4682812091093777041353233063
Found probable prime factor of 28 digits: 4682812091093777041353233063
Probable prime cofactor 874326705316405572786123234035850728935404455548662025784508076079796335019128265791706308917733245997267724658335013 has 117 digits
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)

44×10169-719

c124

name 名前Jo Yeong Uk
date 日付July 7, 2009 10:22:49 UTC 2009 年 7 月 7 日 (火) 19 時 22 分 49 秒 (日本時間)
composite number 合成数
1309448473056422545730772508368357667208736293707271039656288264706133216883595462837863086408288211165694921802757292256217<124>
prime factors 素因数
3267030704112780993938561807475804129877<40>
400806907449015252453908806551676977356384665542185400498682627662013210514398914421<84>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 1309448473056422545730772508368357667208736293707271039656288264706133216883595462837863086408288211165694921802757292256217 (124 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1407767135
Step 1 took 9999ms
Step 2 took 4851ms
********** Factor found in step 2: 3267030704112780993938561807475804129877
Found probable prime factor of 40 digits: 3267030704112780993938561807475804129877
Probable prime cofactor 400806907449015252453908806551676977356384665542185400498682627662013210514398914421 has 84 digits
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)
786Andreas TeteMay 11, 2009 11:32:39 UTC 2009 年 5 月 11 日 (月) 20 時 32 分 39 秒 (日本時間)
403e6160 / 2104Andreas TeteMay 11, 2009 12:41:11 UTC 2009 年 5 月 11 日 (月) 21 時 41 分 11 秒 (日本時間)

44×10170-719

c93

name 名前Serge Batalov
date 日付February 23, 2009 07:36:43 UTC 2009 年 2 月 23 日 (月) 16 時 36 分 43 秒 (日本時間)
composite number 合成数
186842101575560748251901609180483102105679639113695638170972246212189545448427085736405531759<93>
prime factors 素因数
629413938427228336143257358605484317506289<42>
296850911885490573747756395058094668056965871611231<51>
factorization results 素因数分解の結果
starting SIQS on c93: 186842101575560748251901609180483102105679639113695638170972246212189545448427085736405531759

==== sieve params ====
n = 93 digits, 308 bits
factor base: 74997 primes (max prime = 2013299)
single large prime cutoff: 241595880 (120 * pmax)
double large prime range from 43 to 51 bits
double large prime cutoff: 1229026205170180
using 11 large prime slices of factor base
buckets hold 1024 elements
sieve interval: 22 blocks of size 32768
polynomial A has ~ 12 factors
using multiplier of 2
using small prime variation correction of 20 bits
trial factoring cutoff at 98 bits

==== sieving in progress:   75061 relations needed ====
====      Press ctrl-c to abort and save state     ====
75075 rels found: 19639 full + 55436 from 963672 partial, (1.28 rels/poly, 202.06 rels/sec)
sieve time = 1605.0670, relation time = 962.0480, poly_time = 2294.4940
trial division touched 46335727 sieve locations out of 1106774327296
trial division early aborted 32681170 times
size of relation set in memory = 0 bytes
QS elapsed time = 4866.5470 seconds.

==== post processing stage (msieve-1.38) ====
begin with 983311 relations
reduce to 186463 relations in 11 passes
attempting to read 186463 relations
recovered 186463 relations
recovered 165561 polynomials
attempting to build 75075 cycles
found 75075 cycles in 5 passes
distribution of cycle lengths:
   length 1 : 19639
   length 2 : 14403
   length 3 : 13190
   length 4 : 9949
   length 5 : 7107
   length 6 : 4609
   length 7 : 2701
   length 9+: 3477
largest cycle: 19 relations
matrix is 74997 x 75075 (19.0 MB) with weight 4684698 (62.40/col)
sparse part has weight 4684698 (62.40/col)
filtering completed in 3 passes
matrix is 70882 x 70946 (18.1 MB) with weight 4473451 (63.05/col)
sparse part has weight 4473451 (63.05/col)
saving the first 48 matrix rows for later
matrix is 70834 x 70946 (12.3 MB) with weight 3649716 (51.44/col)
sparse part has weight 2811715 (39.63/col)
matrix includes 64 packed rows
using block size 28378 for processor cache size 4096 kB
commencing Lanczos iteration
memory use: 11.5 MB
lanczos halted after 1122 iterations (dim = 70833)
recovered 17 nontrivial dependencies
Lanczos elapsed time = 26.5630 seconds.
Sqrt elapsed time = 1.5150 seconds.
Total elapsed time = 4894.6250 seconds.


***factors found***

PRP42 = 629413938427228336143257358605484317506289
PRP51 = 296850911885490573747756395058094668056965871611231
software ソフトウェア
yafu-1.06
execution environment 実行環境
Q6600,WinXP-32,Cygwin

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)

44×10171-719

c166

name 名前Dmitry Domanov
date 日付July 7, 2009 15:59:27 UTC 2009 年 7 月 8 日 (水) 0 時 59 分 27 秒 (日本時間)
composite number 合成数
7713383298526691198731639299056810996339473712351458206347378177190789308759896577554300027119554460956343828267831808274742298493558711381149648225895545713979683299<166>
prime factors 素因数
5271981044836967768271841973392602581073085695664717820937384152442373<70>
1463090104635461951610590987260210884486775026240659609393710273204440955431228652088681530430663<97>
factorization results 素因数分解の結果
N=7713383298526691198731639299056810996339473712351458206347378177190789308759896577554300027119554460956343828267831808274742298493558711381149648225895545713979683299
  ( 166 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=5271981044836967768271841973392602581073085695664717820937384152442373 (pp70)
 r2=1463090104635461951610590987260210884486775026240659609393710273204440955431228652088681530430663 (pp97)
Version: Msieve v. 1.41
Total time: 78.11 hours.
Scaled time: 154.35 units (timescale=1.976).
Factorization parameters were as follows:
n: 7713383298526691198731639299056810996339473712351458206347378177190789308759896577554300027119554460956343828267831808274742298493558711381149648225895545713979683299
m: 20000000000000000000000000000000000
deg: 5
c5: 55
c0: -284
skew: 1.39
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2700000, 6700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 865106 x 865354
Total sieving time: 76.66 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 1.19 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,173.000,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
total time: 78.11 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve 1.41

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61318118Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)
1200Dmitry DomanovJuly 6, 2009 09:38:16 UTC 2009 年 7 月 6 日 (月) 18 時 38 分 16 秒 (日本時間)
403e62400Dmitry DomanovJuly 6, 2009 09:38:35 UTC 2009 年 7 月 6 日 (月) 18 時 38 分 35 秒 (日本時間)

44×10173-719

c155

name 名前Serge Batalov
date 日付March 5, 2009 02:57:04 UTC 2009 年 3 月 5 日 (木) 11 時 57 分 4 秒 (日本時間)
composite number 合成数
90514387970715113812688616286590075454506183274898175753627866482315868310183245520287337553072997967662130006545915774082545876796675105196971760693376989<155>
prime factors 素因数
222196801234260691724485672982075026225893236567024475775850854282288166181119<78>
407361345743615648080243275018852929330785456412776829217583991628992578941731<78>
factorization results 素因数分解の結果
SNFS difficulty: 174 digits.
Divisors found:
 r1=222196801234260691724485672982075026225893236567024475775850854282288166181119 (pp78)
 r2=407361345743615648080243275018852929330785456412776829217583991628992578941731 (pp78)
Version: Msieve-1.40-beta2
Total time: 60 hours.
Scaled time: 212.58 units (timescale=3.543).
Factorization parameters were as follows:
n: 90514387970715113812688616286590075454506183274898175753627866482315868310183245520287337553072997967662130006545915774082545876796675105196971760693376989
m: 20000000000000000000000000000000000
deg: 5
c5: 1375
c0: -71
skew: 0.55
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5700000/5700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2850000, 7350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1141060 x 1141308
Total sieving time: 12.78 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 4.00 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,52,52,2.4,2.4,100000
total time: 60 hours.
 --------- CPU info (if available) ----------
[    0.292369] CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 3.20GHz stepping 0b
...
[    0.572059] Total of 4 processors activated (25632.32 BogoMIPS).
software ソフトウェア
Msieve-1.40-beta2
execution environment 実行環境
Q6600@3.20GHz;ubuntu/x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)

44×10175-719

c167

name 名前matsui
date 日付August 19, 2010 11:46:12 UTC 2010 年 8 月 19 日 (木) 20 時 46 分 12 秒 (日本時間)
composite number 合成数
35672779083615123540103403551308194274652454348043309682542671524779328174400719710252178028545026552310331739984414288786565592027334355830469805781184687410576931667<167>
prime factors 素因数
2187312574674506482282367995383540372121<40>
229508976489684330097314515513609836110067<42>
6390491240596598187204688275096391426340681<43>
11119677059189780739326724990289024519190401<44>
factorization results 素因数分解の結果
N=35672779083615123540103403551308194274652454348043309682542671524779328174400719710252178028545026552310331739984414288786565592027334355830469805781184687410576931667
  ( 167 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=2187312574674506482282367995383540372121 (pp40)
 r2=229508976489684330097314515513609836110067 (pp42)
 r3=6390491240596598187204688275096391426340681 (pp43)
 r4=11119677059189780739326724990289024519190401 (pp44)
Version: Msieve v. 1.47
Total time:
Scaled time: 11.72 units (timescale=1.332).
Factorization parameters were as follows:
n: 35672779083615123540103403551308194274652454348043309682542671524779328174400719710252178028545026552310331739984414288786565592027334355830469805781184687410576931667
m: 100000000000000000000000000000000000
deg: 5
c5: 44
c0: -71
skew: 1.10
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3100000, 7500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1449534 x 1449771
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,176.000,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)

44×10180-719

c168

name 名前Robert Backstrom
date 日付February 26, 2012 01:34:47 UTC 2012 年 2 月 26 日 (日) 10 時 34 分 47 秒 (日本時間)
composite number 合成数
241451645935706030428941949913340265879191050999927425758132678064523099824768224919634485249192795857908534741668211830460354030211073907927839345567052256382986800587<168>
prime factors 素因数
74588741045475247732162863614545051<35>
115451350178028447926618518079014473447945901022375941<54>
28038700203629676479927014156857683713854090792957963249720357797107863348336157<80>
factorization results 素因数分解の結果
Number: n
N=241451645935706030428941949913340265879191050999927425758132678064523099824768224919634485249192795857908534741668211830460354030211073907927839345567052256382986800587
  ( 168 digits)
SNFS difficulty: 181 digits.
Divisors found:

Sun Feb 26 12:24:46 2012  prp35 factor: 74588741045475247732162863614545051
Sun Feb 26 12:24:46 2012  prp54 factor: 115451350178028447926618518079014473447945901022375941
Sun Feb 26 12:24:46 2012  prp80 factor: 28038700203629676479927014156857683713854090792957963249720357797107863348336157
Sun Feb 26 12:24:46 2012  elapsed time 02:24:28 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.659).
Factorization parameters were as follows:
name: KA_48881_180
n: 241451645935706030428941949913340265879191050999927425758132678064523099824768224919634485249192795857908534741668211830460354030211073907927839345567052256382986800587
m: 1000000000000000000000000000000000000
#  c168, diff: 181.64
skew: 1.1
deg: 5
c5: 44
c0: -71
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 9000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5772172 hash collisions in 75111682 relations (72036957 unique)
Msieve: matrix is 1047195 x 1047443 (290.9 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.93 BogoMIPS (lpj=2798468)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797560)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44762.71 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovMay 8, 2011 07:06:08 UTC 2011 年 5 月 8 日 (日) 16 時 6 分 8 秒 (日本時間)

44×10181-719

c144

name 名前Dmitry Domanov
date 日付November 19, 2012 07:47:26 UTC 2012 年 11 月 19 日 (月) 16 時 47 分 26 秒 (日本時間)
composite number 合成数
258617603977570887177330669157279092902925691239014748182838630897007916465108375144648878446324192943824537882213193938225987992124115566921211<144>
prime factors 素因数
8532795813514401229327008547817008860281463273982837580143097683<64>
30308659626891282251992629669011215176446905894036487198779796993593974321228217<80>
factorization results 素因数分解の結果
N=258617603977570887177330669157279092902925691239014748182838630897007916465108375144648878446324192943824537882213193938225987992124115566921211
  ( 144 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=8532795813514401229327008547817008860281463273982837580143097683 (pp64)
 r2=30308659626891282251992629669011215176446905894036487198779796993593974321228217 (pp80)
Version: Msieve-1.40
Total time: 176.72 hours.
Scaled time: 345.85 units (timescale=1.957).
Factorization parameters were as follows:
n: 258617603977570887177330669157279092902925691239014748182838630897007916465108375144648878446324192943824537882213193938225987992124115566921211
m: 1000000000000000000000000000000000000
deg: 5
c5: 440
c0: -71
skew: 0.69
# Murphy_E = 7.321e-11
type: snfs
lss: 1
rlim: 7700000
alim: 7700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7700000/7700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3850000, 6650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1392051 x 1392277
Total sieving time: 173.80 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.06 hours.
Time per square root: 0.71 hours.
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7700000,7700000,28,28,53,53,2.5,2.5,100000
total time: 176.72 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
351e6118Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovMay 8, 2011 07:06:15 UTC 2011 年 5 月 8 日 (日) 16 時 6 分 15 秒 (日本時間)

44×10183-719

c154

name 名前Jo Yeong Uk
date 日付June 9, 2014 13:11:59 UTC 2014 年 6 月 9 日 (月) 22 時 11 分 59 秒 (日本時間)
composite number 合成数
4653085711070641537957817143781154893933926175934643977937820055831383999840167016294408727030852120142535465369833601843061718799759824364690617508590267<154>
prime factors 素因数
6200727067449504185789287941604657374511124448928834167460175618011<67>
750409695581805106845695392774445777660428622818847459439786097558570904584325144731297<87>
factorization results 素因数分解の結果
Number: 48881_183
N=4653085711070641537957817143781154893933926175934643977937820055831383999840167016294408727030852120142535465369833601843061718799759824364690617508590267
  ( 154 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=6200727067449504185789287941604657374511124448928834167460175618011
 r2=750409695581805106845695392774445777660428622818847459439786097558570904584325144731297
Version: 
Total time: 81.34 hours.
Scaled time: 423.29 units (timescale=5.204).
Factorization parameters were as follows:
n: 4653085711070641537957817143781154893933926175934643977937820055831383999840167016294408727030852120142535465369833601843061718799759824364690617508590267
m: 2000000000000000000000000000000000000
deg: 5
c5: 1375
c0: -71
skew: 0.55
# Murphy_E = 5.429e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
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: 54/54
Sieved rational special-q in [3700000, 7400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20633142
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1620834 x 1621082
Total sieving time: 75.61 hours.
Total relation processing time: 2.03 hours.
Matrix solve time: 3.28 hours.
Time per square root: 0.41 hours.
Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,54,54,2.5,2.5,100000
total time: 81.34 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.94 BogoMIPS (lpj=3399973)
Total of 12 processors activated (81599.35 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61300300Dmitry DomanovMay 8, 2011 07:06:22 UTC 2011 年 5 月 8 日 (日) 16 時 6 分 22 秒 (日本時間)
1000Dmitry DomanovNovember 27, 2012 16:00:14 UTC 2012 年 11 月 28 日 (水) 1 時 0 分 14 秒 (日本時間)
4511e6600 / 4188300Rich DickersonNovember 15, 2013 17:15:12 UTC 2013 年 11 月 16 日 (土) 2 時 15 分 12 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:30 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 30 秒 (日本時間)

44×10184-719

c163

name 名前Jo Yeong Uk
date 日付May 25, 2014 22:24:50 UTC 2014 年 5 月 26 日 (月) 7 時 24 分 50 秒 (日本時間)
composite number 合成数
2352276744936251446824702924348533881109722132992584166497676956530466012712989743424567005079732710219835192601702714380863059378344225998689251421608529481401481<163>
prime factors 素因数
56379511966525066767101797925163908848170137<44>
15815021204403861854421985190536076305541346752114897<53>
2638136874669466695925200598952763011713077142218432192072362951329<67>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 2352276744936251446824702924348533881109722132992584166497676956530466012712989743424567005079732710219835192601702714380863059378344225998689251421608529481401481 (163 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=7148428323
Step 1 took 29930ms
Step 2 took 9759ms
********** Factor found in step 2: 56379511966525066767101797925163908848170137
Found probable prime factor of 44 digits: 56379511966525066767101797925163908848170137
Composite cofactor 41722190613017349137851899019116696744008059328551492243855254318072554459489318788772919207197430195584626519426848113 has 119 digits

Number: 48881_184
N=41722190613017349137851899019116696744008059328551492243855254318072554459489318788772919207197430195584626519426848113
  ( 119 digits)
Divisors found:
 r1=15815021204403861854421985190536076305541346752114897
 r2=2638136874669466695925200598952763011713077142218432192072362951329
Version: 
Total time: 17.45 hours.
Scaled time: 91.47 units (timescale=5.243).
Factorization parameters were as follows:
name: 48881_184
n: 41722190613017349137851899019116696744008059328551492243855254318072554459489318788772919207197430195584626519426848113
skew: 27660.31
# norm 2.56e+16
c5: 36000
c4: -11435931915
c3: -1021135828914685
c2: 9537156670919717786
c1: 71054268337604938769837
c0: -206221149608198452193990535
# alpha -5.53
Y1: 305481592427
Y0: -64984989054714311378038
# Murphy_E 3.27e-10
# M 9402349029118069834295814623084589024297533385150798529959000112347966057488560322657846666547496663067715707163098003
type: gnfs
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2000000, 3900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 10549774
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 729917 x 730165
Polynomial selection time: 2.27 hours.
Total sieving time: 14.12 hours.
Total relation processing time: 0.46 hours.
Matrix solve time: 0.51 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
gnfs,118,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4000000,4000000,27,27,54,54,2.5,2.5,100000
total time: 17.45 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49374164k/51380224k available (5220k kernel code, 1085960k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.16 BogoMIPS (lpj=3400080)
Total of 12 processors activated (81601.92 BogoMIPS).
software ソフトウェア
GMP-ECM v6.4.4 / GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61600300Dmitry DomanovMay 8, 2011 07:06:32 UTC 2011 年 5 月 8 日 (日) 16 時 6 分 32 秒 (日本時間)
1000Dmitry DomanovNovember 27, 2012 16:00:22 UTC 2012 年 11 月 28 日 (水) 1 時 0 分 22 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:21 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 21 秒 (日本時間)
4511e6230 / 4121Ignacio SantosFebruary 2, 2014 14:57:35 UTC 2014 年 2 月 2 日 (日) 23 時 57 分 35 秒 (日本時間)

44×10185-719

c151

name 名前Jo Yeong Uk
date 日付November 20, 2014 13:21:51 UTC 2014 年 11 月 20 日 (木) 22 時 21 分 51 秒 (日本時間)
composite number 合成数
1288417605397061959943220379833357041943834200589204651506644599528888889868495700727401529939473441971754524593768734420088786112756423160575421528131<151>
prime factors 素因数
508112536051056974798438563369943841069905984872894910161244296979<66>
2535693402509551793059329797242204186641532257974190504140803405722069167693671043089<85>
factorization results 素因数分解の結果
Number: 48881_185
N=1288417605397061959943220379833357041943834200589204651506644599528888889868495700727401529939473441971754524593768734420088786112756423160575421528131
  ( 151 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=508112536051056974798438563369943841069905984872894910161244296979
 r2=2535693402509551793059329797242204186641532257974190504140803405722069167693671043089
Version: 
Total time: 88.89 hours.
Scaled time: 467.13 units (timescale=5.255).
Factorization parameters were as follows:
n: 1288417605397061959943220379833357041943834200589204651506644599528888889868495700727401529939473441971754524593768734420088786112756423160575421528131
m: 10000000000000000000000000000000000000
deg: 5
c5: 44
c0: -71
skew: 1.10
# Murphy_E = 5.078e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 8200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20947884
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1705203 x 1705451
Total sieving time: 82.70 hours.
Total relation processing time: 2.19 hours.
Matrix solve time: 3.78 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 88.89 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399852)
Total of 12 processors activated (81596.44 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61600300Dmitry DomanovMay 8, 2011 07:06:39 UTC 2011 年 5 月 8 日 (日) 16 時 6 分 39 秒 (日本時間)
1000Dmitry DomanovNovember 27, 2012 16:00:30 UTC 2012 年 11 月 28 日 (水) 1 時 0 分 30 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:22 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 22 秒 (日本時間)
4511e6530 / 4121230Ignacio SantosFebruary 6, 2014 17:41:23 UTC 2014 年 2 月 7 日 (金) 2 時 41 分 23 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:30 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 30 秒 (日本時間)

44×10186-719

c183

name 名前Wataru Sakai
date 日付September 1, 2009 12:08:24 UTC 2009 年 9 月 1 日 (火) 21 時 8 分 24 秒 (日本時間)
composite number 合成数
259784732923581959131138152340129065778675215946059242727503527758589132732285928523773255161745517237307449327216583712678085386518353200961203511817253248785211163658477543381098299<183>
prime factors 素因数
2781358159338341230540981818870343356361601462647<49>
93402114377596838227799236814397000522231663886462612272154867872283444096094978505488882758006792303268745560227245467020075767533917<134>
factorization results 素因数分解の結果
Number: 48881_186
N=259784732923581959131138152340129065778675215946059242727503527758589132732285928523773255161745517237307449327216583712678085386518353200961203511817253248785211163658477543381098299
  ( 183 digits)
SNFS difficulty: 188 digits.
Divisors found:
 r1=2781358159338341230540981818870343356361601462647
 r2=93402114377596838227799236814397000522231663886462612272154867872283444096094978505488882758006792303268745560227245467020075767533917
Version: 
Total time: 366.82 hours.
Scaled time: 737.67 units (timescale=2.011).
Factorization parameters were as follows:
n: 259784732923581959131138152340129065778675215946059242727503527758589132732285928523773255161745517237307449327216583712678085386518353200961203511817253248785211163658477543381098299
m: 20000000000000000000000000000000000000
deg: 5
c5: 55
c0: -284
skew: 1.39
type: snfs
lss: 1
rlim: 9600000
alim: 9600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5Factor base limits: 9600000/9600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4800000, 8400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1661836 x 1662084
Total sieving time: 366.82 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,188,5,0,0,0,0,0,0,0,0,9600000,9600000,28,28,54,54,2.5,2.5,100000
total time: 366.82 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)
786Wataru SakaiAugust 25, 2009 08:09:35 UTC 2009 年 8 月 25 日 (火) 17 時 9 分 35 秒 (日本時間)

44×10188-719

c150

name 名前Dmitry Domanov
date 日付May 9, 2011 07:29:20 UTC 2011 年 5 月 9 日 (月) 16 時 29 分 20 秒 (日本時間)
composite number 合成数
344059893369733588606955191784846701532846257358519024170308594167926493472911277077911265705785176444209438346620803195226488464123043581762131605231<150>
prime factors 素因数
4191728014574215364831375028546485729<37>
105116817282035720727478297520666737980396146837<48>
780852045614641398366230691727287529238764110697706970780162241747<66>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3179006784
Step 1 took 48445ms
Step 2 took 20739ms
********** Factor found in step 2: 4191728014574215364831375028546485729
Found probable prime factor of 37 digits: 4191728014574215364831375028546485729
Composite cofactor 82080681803178081859138316691376724129435817295999869598521779942539796880078583612066129444202079145474903404239 has 113 digits

N=82080681803178081859138316691376724129435817295999869598521779942539796880078583612066129444202079145474903404239
  ( 113 digits)
Divisors found:
 r1=105116817282035720727478297520666737980396146837 (pp48)
 r2=780852045614641398366230691727287529238764110697706970780162241747 (pp66)
Version: Msieve v. 1.48
Total time: 2.47 hours.
Scaled time: 3.66 units (timescale=1.480).
Factorization parameters were as follows:
name: 113
n: 82080681803178081859138316691376724129435817295999869598521779942539796880078583612066129444202079145474903404239
skew: 20247.55
# norm 6.74e+14
c5: 13260
c4: 2474952605
c3: -13482993131765
c2: -933230074205330173
c1: 3963893428728110573652
c0: 34083025599580127023136580
# alpha -4.96
Y1: 123882189541
Y0: -5732434959238009689793
# Murphy_E 7.18e-10
# M 71610029542821247110154041164769438701613560554220758814606663106546318897888852580906741026872976390869198900669
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2750001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 415400 x 415625
Polynomial selection time: 2.10 hours.
Total sieving time: 0.00 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.22 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 2.47 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovMay 8, 2011 07:06:49 UTC 2011 年 5 月 8 日 (日) 16 時 6 分 49 秒 (日本時間)

44×10190-719

c145

name 名前Dmitry Domanov
date 日付May 8, 2011 20:41:11 UTC 2011 年 5 月 9 日 (月) 5 時 41 分 11 秒 (日本時間)
composite number 合成数
1239346228954810648820719327018589256749116082523339187412626623653786266928974387366780350153035763406280385254467111896786305050181955405223069<145>
prime factors 素因数
1028469975497344441078990466094659<34>
1998131097907720070494597802698052023686654664283591<52>
603082953366188078063846018780536589452870482189232607255401<60>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=301771827
Step 1 took 48918ms
Step 2 took 19947ms
********** Factor found in step 2: 1028469975497344441078990466094659
Found probable prime factor of 34 digits: 1028469975497344441078990466094659
Composite cofactor 120503880373901172807368076297788435094596734111648136254317081900331460034495775426349363899355
1000164430424991 has 112 digits


N=1205038803739011728073680762977884350945967341116481362543170819003314600344957754263493638993551000164430424991
  ( 112 digits)
Divisors found:
 r1=1998131097907720070494597802698052023686654664283591 (pp52)
 r2=603082953366188078063846018780536589452870482189232607255401 (pp60)
Version: Msieve v. 1.48
Total time: 2.37 hours.
Scaled time: 3.27 units (timescale=1.381).
Factorization parameters were as follows:
name: 112
n: 1205038803739011728073680762977884350945967341116481362543170819003314600344957754263493638993551000164430424991
skew: 16170.00
# norm 2.35e+14
c5: 18840
c4: -1100944646
c3: -9663298945047
c2: 300143362357294654
c1: 1548360440362627597948
c0: -6474645141008118540314905
# alpha -4.24
Y1: 376926182689
Y0: -2297126223008946668974
# Murphy_E 8.62e-10
# M 758333268538295173046178558335693619970587041510009933851434629961264014399077977113842578547123215280523846584
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, 2650001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 397867 x 398093
Polynomial selection time: 1.89 hours.
Total sieving time: 0.00 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 2.37 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovMay 8, 2011 07:06:56 UTC 2011 年 5 月 8 日 (日) 16 時 6 分 56 秒 (日本時間)

44×10191-719

c186

name 名前Robert Backstrom
date 日付February 19, 2010 09:42:28 UTC 2010 年 2 月 19 日 (金) 18 時 42 分 28 秒 (日本時間)
composite number 合成数
193325430716976798004494904139365490997603599473469401922735646234848833353522659563890342124939107981523888586378527414710422011400840025359023998320529258244154289335496996403839425479<186>
prime factors 素因数
6616399218916608370914810025641420616961825481299<49>
29219130273193001064349599743865401165066854585013049412217331129969015251650296212275002960656998458689977238359104005877428534388021821<137>
factorization results 素因数分解の結果
Number: n
N=193325430716976798004494904139365490997603599473469401922735646234848833353522659563890342124939107981523888586378527414710422011400840025359023998320529258244154289335496996403839425479
  ( 186 digits)
SNFS difficulty: 192 digits.
Divisors found:

Fri Feb 19 20:08:04 2010  prp49 factor: 6616399218916608370914810025641420616961825481299
Fri Feb 19 20:08:04 2010  prp137 factor: 29219130273193001064349599743865401165066854585013049412217331129969015251650296212275002960656998458689977238359104005877428534388021821
Fri Feb 19 20:08:04 2010  elapsed time 07:26:13 (Msieve 1.42 - dependency 1)

Version: 
Total time: 17.36 hours.
Scaled time: 14.60 units (timescale=0.841).
Factorization parameters were as follows:
name: KA_4_8_190_1
n: 193325430716976798004494904139365490997603599473469401922735646234848833353522659563890342124939107981523888586378527414710422011400840025359023998320529258244154289335496996403839425479
m: 100000000000000000000000000000000000000
deg: 5
c5: 440
c0: -71
skew: 0.69
type: snfs
lss: 1
rlim: 11400000
alim: 11400000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 11400000/11400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 10344283)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3074051 hash collisions in 26167420 relations
Msieve: matrix is 1703948 x 1704173 (459.1 MB)

Total sieving time: 17.36 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11400000,11400000,28,28,56,56,2.5,2.5,100000
total time: 17.36 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)
786Wataru SakaiDecember 10, 2009 07:03:02 UTC 2009 年 12 月 10 日 (木) 16 時 3 分 2 秒 (日本時間)

44×10192-719

c147

name 名前Serge Batalov
date 日付March 20, 2011 01:38:16 UTC 2011 年 3 月 20 日 (日) 10 時 38 分 16 秒 (日本時間)
composite number 合成数
194361592013718879879974367174262752639375422432100360476466018668352218558590479238041217236846693113866609493223172015366021877535630571921421629<147>
prime factors 素因数
9413202557836367905493900999298621787<37>
20647764755886974813556260540845546049023834167751375112840687635268049754100347210127382631935798069107453767<110>
factorization results 素因数分解の結果
Using B1=100000000, B2=4537592002678, polynomial x^1, x0=689207180 [P-1]
Step 1 took 35170ms
Step 2 took 14033ms
********** Factor found in step 2: 9413202557836367905493900999298621787
Found probable prime factor of 37 digits: 9413202557836367905493900999298621787
Probable prime cofactor 20647764755886974813556260540845546049023834167751375112840687635268049754100347210127382631935798069107453767 has 110 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)

44×10193-719

c190

name 名前Wataru Sakai
date 日付November 6, 2009 12:08:54 UTC 2009 年 11 月 6 日 (金) 21 時 8 分 54 秒 (日本時間)
composite number 合成数
7881491034803947910509251795726082361581313701255664821681265337560678524728178121697386569222777509090583409461371737689648378024969996596628871334658856825550360936464434771705447185053827<190>
prime factors 素因数
1618166115802996840565371152078318243943573<43>
18615892194719893987578001772834971645694757182039038565591672722464263<71>
261638365738076548906793103513491078188631394698342571980380378304781956600273<78>
factorization results 素因数分解の結果
Number: 48881_193
N=7881491034803947910509251795726082361581313701255664821681265337560678524728178121697386569222777509090583409461371737689648378024969996596628871334658856825550360936464434771705447185053827
  ( 190 digits)
SNFS difficulty: 194 digits.
Divisors found:
 r1=1618166115802996840565371152078318243943573
 r2=18615892194719893987578001772834971645694757182039038565591672722464263
 r3=261638365738076548906793103513491078188631394698342571980380378304781956600273
Version: 
Total time: 653.71 hours.
Scaled time: 1316.58 units (timescale=2.014).
Factorization parameters were as follows:
n: 7881491034803947910509251795726082361581313701255664821681265337560678524728178121697386569222777509090583409461371737689648378024969996596628871334658856825550360936464434771705447185053827
m: 200000000000000000000000000000000000000
deg: 5
c5: 1375
c0: -71
skew: 0.55
type: snfs
lss: 1
rlim: 12300000
alim: 12300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5Factor base limits: 12300000/12300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6150000, 13250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2399210 x 2399457
Total sieving time: 653.71 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,194,5,0,0,0,0,0,0,0,0,12300000,12300000,28,28,55,55,2.5,2.5,100000
total time: 653.71 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
351e6118Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiAugust 24, 2009 00:44:22 UTC 2009 年 8 月 24 日 (月) 9 時 44 分 22 秒 (日本時間)

44×10194-719

c176

name 名前Dmitry Domanov
date 日付May 8, 2011 17:06:42 UTC 2011 年 5 月 9 日 (月) 2 時 6 分 42 秒 (日本時間)
composite number 合成数
11059170168574536414275603313125557632826785399755891720411252425455486593923465745895584288646419718970834626293546609276794325810404148243555579096350947922554299643462737441<176>
prime factors 素因数
526223281887893177647094507304506040595711304023<48>
21016117205795897362849111917800705390749132791243872309988487284821958802175481139749733146868439000572105449286397430882007367<128>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=895579970
Step 1 took 69399ms
Step 2 took 26022ms
********** Factor found in step 2: 526223281887893177647094507304506040595711304023
Found probable prime factor of 48 digits: 526223281887893177647094507304506040595711304023
Probable prime cofactor 21016117205795897362849111917800705390749132791243872309988487284821958802175481139749733146868439000572105449286397430882007367 has 128 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovMay 8, 2011 07:07:05 UTC 2011 年 5 月 8 日 (日) 16 時 7 分 5 秒 (日本時間)

44×10195-719

c187

name 名前Robert Backstrom
date 日付January 31, 2012 16:17:18 UTC 2012 年 2 月 1 日 (水) 1 時 17 分 18 秒 (日本時間)
composite number 合成数
3120693173684265119408607434221225883902948255988552024196111252361840509219443381197683353394145547846022791912945805381255320144867368804942089319117267221964214303972959933538007385337<187>
prime factors 素因数
186845470107006737433272393672146713833382868952776188334682761<63>
16702000706236220312036776285302483076538341383058505144014360796350368924725188782442691877133923333309755758789171502834417<125>
factorization results 素因数分解の結果
Number: n
N=3120693173684265119408607434221225883902948255988552024196111252361840509219443381197683353394145547846022791912945805381255320144867368804942089319117267221964214303972959933538007385337
  ( 187 digits)
SNFS difficulty: 196 digits.
Divisors found:

Wed Feb  1 03:12:51 2012  prp63 factor: 186845470107006737433272393672146713833382868952776188334682761
Wed Feb  1 03:12:51 2012  prp125 factor: 16702000706236220312036776285302483076538341383058505144014360796350368924725188782442691877133923333309755758789171502834417
Wed Feb  1 03:12:51 2012  elapsed time 04:56:22 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.645).
Factorization parameters were as follows:
name: KA_48881_195
n: 3120693173684265119408607434221225883902948255988552024196111252361840509219443381197683353394145547846022791912945805381255320144867368804942089319117267221964214303972959933538007385337
m: 1000000000000000000000000000000000000000
deg: 5
c5: 44
c0: -71
skew: 1.10
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 17200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10104927 hash collisions in 77853586 relations
Msieve: matrix is 1652887 x 1653118 (465.3 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovMay 8, 2011 07:07:13 UTC 2011 年 5 月 8 日 (日) 16 時 7 分 13 秒 (日本時間)

44×10197-719

c195

name 名前Wataru Sakai
date 日付December 8, 2009 15:01:56 UTC 2009 年 12 月 9 日 (水) 0 時 1 分 56 秒 (日本時間)
composite number 合成数
181002920728948126208400181002920728948126208400181002920728948126208400181002920728948126208400181002920728948126208400181002920728948126208400181002920728948126208400181002920728948126208400181<195>
prime factors 素因数
52038938123538386499558426521065668429891280877444695007719721706031040955707989<80>
3478220871825907204600143572083807398370519405902086642073165507604921729279187962113161108837292484759222844466529<115>
factorization results 素因数分解の結果
Number: 48881_197
N=181002920728948126208400181002920728948126208400181002920728948126208400181002920728948126208400181002920728948126208400181002920728948126208400181002920728948126208400181002920728948126208400181
  ( 195 digits)
SNFS difficulty: 198 digits.
Divisors found:
 r1=52038938123538386499558426521065668429891280877444695007719721706031040955707989
 r2=3478220871825907204600143572083807398370519405902086642073165507604921729279187962113161108837292484759222844466529
Version: 
Total time: 954.48 hours.
Scaled time: 1922.33 units (timescale=2.014).
Factorization parameters were as follows:
n: 181002920728948126208400181002920728948126208400181002920728948126208400181002920728948126208400181002920728948126208400181002920728948126208400181002920728948126208400181002920728948126208400181
m: 2000000000000000000000000000000000000000
deg: 5
c5: 275
c0: -142
skew: 0.88
type: snfs
lss: 1
rlim: 14500000
alim: 14500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14500000/14500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [7250000, 17750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2286051 x 2286299
Total sieving time: 954.48 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,198,5,0,0,0,0,0,0,0,0,14500000,14500000,28,28,55,55,2.5,2.5,100000
total time: 954.48 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
351e6118Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiAugust 29, 2009 05:21:08 UTC 2009 年 8 月 29 日 (土) 14 時 21 分 8 秒 (日本時間)

44×10199-719

c176

name 名前Dmitry Domanov
date 日付May 8, 2011 06:05:42 UTC 2011 年 5 月 8 日 (日) 15 時 5 分 42 秒 (日本時間)
composite number 合成数
33055105753876727084838308799684110833265270938190961912673560920358076984707629560044244076391851462154076820807622929029732205185706475465716473042080568022279962606171438961<176>
prime factors 素因数
3028177735949531891906056343791558181<37>
composite cofactor 合成数の残り
10915840692393106252214474655826028984358428746384584786306868479923936359407988561127417390410673464580326345770526658425184585785801612381<140>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2706724313
Step 1 took 69457ms
Step 2 took 25947ms
********** Factor found in step 2: 3028177735949531891906056343791558181
Found probable prime factor of 37 digits: 3028177735949531891906056343791558181
Composite cofactor 10915840692393106252214474655826028984358428746384584786306868479923936359407988561127417390410673464580326345770526658425184585785801612381 has 140 digits

c140

name 名前Wataru Sakai
date 日付May 14, 2011 09:58:30 UTC 2011 年 5 月 14 日 (土) 18 時 58 分 30 秒 (日本時間)
composite number 合成数
10915840692393106252214474655826028984358428746384584786306868479923936359407988561127417390410673464580326345770526658425184585785801612381<140>
prime factors 素因数
683528024536242326105553894600981864813836870791<48>
15969850979847164562227476483615572558594274737364029873870810033026373342669381588390794491<92>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1086064219
Step 1 took 33554ms
Step 2 took 13456ms
********** Factor found in step 2: 683528024536242326105553894600981864813836870791
Found probable prime factor of 48 digits: 683528024536242326105553894600981864813836870791
Probable prime cofactor 15969850979847164562227476483615572558594274737364029873870810033026373342669381588390794491 has 92 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovMay 8, 2011 06:05:33 UTC 2011 年 5 月 8 日 (日) 15 時 5 分 33 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovMay 9, 2011 16:23:37 UTC 2011 年 5 月 10 日 (火) 1 時 23 分 37 秒 (日本時間)

44×10200-719

c166

name 名前Robert Backstrom
date 日付November 3, 2012 08:22:42 UTC 2012 年 11 月 3 日 (土) 17 時 22 分 42 秒 (日本時間)
composite number 合成数
9615781730036174049946079454007716530027231394337703431658533894745967037025490704704226666165568993967876996711360005108867141287980658352373045350033663795496209971<166>
prime factors 素因数
2365645867052241385948677925915206162679514062779961067629<58>
4064759592279170741703087112346020154283076834921363339540801232396669231231093123940674619208796125483994399<109>
factorization results 素因数分解の結果
Number: n
N=9615781730036174049946079454007716530027231394337703431658533894745967037025490704704226666165568993967876996711360005108867141287980658352373045350033663795496209971
  ( 166 digits)
SNFS difficulty: 201 digits.
Divisors found:

Sat Nov  3 18:29:55 2012  prp58 factor: 2365645867052241385948677925915206162679514062779961067629
Sat Nov  3 18:29:55 2012  prp109 factor: 4064759592279170741703087112346020154283076834921363339540801232396669231231093123940674619208796125483994399
Sat Nov  3 18:29:55 2012  elapsed time 06:26:41 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.095).
Factorization parameters were as follows:
name: KA_48881_200
n: 9615781730036174049946079454007716530027231394337703431658533894745967037025490704704226666165568993967876996711360005108867141287980658352373045350033663795496209971
m: 10000000000000000000000000000000000000000
#  c166, diff: 201.64
skew: 1.1
deg: 5
c5: 44
c0: -71
# Murphy_E = 1.218e-11
type: snfs
lss: 1
rlim: 16100000
alim: 16100000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 16100000/16100000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42250000)
Primes: RFBsize:1037119, AFBsize:1037806,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10453174 hash collisions in 67351902 relations (59432227 unique)
Msieve: matrix is 2045141 x 2045366 (577.3 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16100000,16100000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830711)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.16 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovMay 8, 2011 07:07:26 UTC 2011 年 5 月 8 日 (日) 16 時 7 分 26 秒 (日本時間)

44×10201-719

c175

name 名前Robert Backstrom
date 日付November 5, 2012 07:21:54 UTC 2012 年 11 月 5 日 (月) 16 時 21 分 54 秒 (日本時間)
composite number 合成数
8674053478797111060846450985867992982973651098511040451227658957833184473682780865153866820090672971228641609073134911394676980375504326770069404293156450588824800470320305739<175>
prime factors 素因数
179743823691321096083250716842479114494187192509107805237247659865791490401737<78>
48257866671921347631369844191119459211037389712424907749819072649638948232870312418928181246719347<98>
factorization results 素因数分解の結果
Number: n
N=8674053478797111060846450985867992982973651098511040451227658957833184473682780865153866820090672971228641609073134911394676980375504326770069404293156450588824800470320305739
  ( 175 digits)
SNFS difficulty: 202 digits.
Divisors found:

Mon Nov  5 18:15:43 2012  prp78 factor: 179743823691321096083250716842479114494187192509107805237247659865791490401737
Mon Nov  5 18:15:43 2012  prp98 factor: 48257866671921347631369844191119459211037389712424907749819072649638948232870312418928181246719347
Mon Nov  5 18:15:43 2012  elapsed time 08:00:39 (Msieve 1.44 - dependency 5)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.099).
Factorization parameters were as follows:
name: KA_48881_201
n: 8674053478797111060846450985867992982973651098511040451227658957833184473682780865153866820090672971228641609073134911394676980375504326770069404293156450588824800470320305739
m: 10000000000000000000000000000000000000000
#  c175, diff: 202.64
skew: 0.694
deg: 5
c5: 440
c0: -71
# Murphy_E = 1.099e-11
type: snfs
lss: 1
rlim: 16700000
alim: 16700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 16700000/16700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 46350000)
Primes: RFBsize:1073198, AFBsize:1072653,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 11025133 hash collisions in 69505514 relations (61073722 unique)
Msieve: matrix is 2084690 x 2084915 (590.0 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16700000,16700000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830711)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.16 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovMay 8, 2011 07:07:34 UTC 2011 年 5 月 8 日 (日) 16 時 7 分 34 秒 (日本時間)

44×10202-719

c171

name 名前Robert Backstrom
date 日付November 7, 2012 12:31:56 UTC 2012 年 11 月 7 日 (水) 21 時 31 分 56 秒 (日本時間)
composite number 合成数
472245836230288357990441001875125119428463830137268334022566592664561185318055146103480795214132997682497988908943855066842968084406962106559797311875107038441470416170749<171>
prime factors 素因数
75878463711207153504808610329401307552197609675535739597097130019<65>
6223713727621744704288201144990716297884471779226387068303694649389906043443353299511141670600894404312671<106>
factorization results 素因数分解の結果
Number: n
N=472245836230288357990441001875125119428463830137268334022566592664561185318055146103480795214132997682497988908943855066842968084406962106559797311875107038441470416170749
  ( 171 digits)
SNFS difficulty: 203 digits.
Divisors found:

Wed Nov  7 23:27:55 2012  prp65 factor: 75878463711207153504808610329401307552197609675535739597097130019
Wed Nov  7 23:27:55 2012  prp106 factor: 6223713727621744704288201144990716297884471779226387068303694649389906043443353299511141670600894404312671
Wed Nov  7 23:27:55 2012  elapsed time 09:05:36 (Msieve 1.44 - dependency 2)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.094).
Factorization parameters were as follows:
name: KA_48881_202
n: 472245836230288357990441001875125119428463830137268334022566592664561185318055146103480795214132997682497988908943855066842968084406962106559797311875107038441470416170749
m: 10000000000000000000000000000000000000000
#  c171, diff: 203.64
skew: 0.438
deg: 5
c5: 4400
c0: -71
# Murphy_E = 9.204e-12
type: snfs
lss: 1
rlim: 17300000
alim: 17300000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 17300000/17300000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 50450000)
Primes: RFBsize:1109288, AFBsize:1107494,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8968193 hash collisions in 60352356 relations (53590425 unique)
Msieve: matrix is 2376898 x 2377123 (674.8 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17300000,17300000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830711)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.16 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovMay 8, 2011 07:07:45 UTC 2011 年 5 月 8 日 (日) 16 時 7 分 45 秒 (日本時間)

44×10204-719

c161

name 名前Robert Backstrom
date 日付November 10, 2012 04:39:20 UTC 2012 年 11 月 10 日 (土) 13 時 39 分 20 秒 (日本時間)
composite number 合成数
12089595235449393138649438449792568269109916350024292217725182417525631426587890180783701208035229911050016742862916967720238700467414188485230129831679954031007<161>
prime factors 素因数
1270245249570419236930166222029399170416319922170701<52>
9517528398187625775795415501616835499798166309349193278428473313713403780712244475340672397743997534165566107<109>
factorization results 素因数分解の結果
Number: n
N=12089595235449393138649438449792568269109916350024292217725182417525631426587890180783701208035229911050016742862916967720238700467414188485230129831679954031007
  ( 161 digits)
SNFS difficulty: 206 digits.
Divisors found:

Sat Nov 10 10:20:17 2012  prp52 factor: 1270245249570419236930166222029399170416319922170701
Sat Nov 10 10:20:17 2012  prp109 factor: 9517528398187625775795415501616835499798166309349193278428473313713403780712244475340672397743997534165566107
Sat Nov 10 10:20:17 2012  elapsed time 09:49:43 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.096).
Factorization parameters were as follows:
name: KA_48881_204
n: 12089595235449393138649438449792568269109916350024292217725182417525631426587890180783701208035229911050016742862916967720238700467414188485230129831679954031007
m: 100000000000000000000000000000000000000000
#  c161, diff: 206.34
skew: 1.744
deg: 5
c5: 22
c0: -355
# Murphy_E = 7.843e-12
type: snfs
lss: 1
rlim: 19200000
alim: 19200000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 19200000/19200000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 55200000)
Primes: RFBsize:1222953, AFBsize:1223855,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10063620 hash collisions in 63910409 relations (56092078 unique)
Msieve: matrix is 2519758 x 2519983 (713.4 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19200000,19200000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830711)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.16 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 22, 2009 07:00:00 UTC 2009 年 2 月 22 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovMay 8, 2011 07:07:57 UTC 2011 年 5 月 8 日 (日) 16 時 7 分 57 秒 (日本時間)

44×10206-719

c202

name 名前Bob Backstrom
date 日付September 6, 2020 15:37:28 UTC 2020 年 9 月 7 日 (月) 0 時 37 分 28 秒 (日本時間)
composite number 合成数
1906943745592901315227769261540368482207131362853689307723078830020668669824392150846184617291559130208285930612384646155753097591746747469073923107694214636053285209007535461569232676174514823670545997<202>
prime factors 素因数
777085414735735080238822210080352337023909395385659949241056124331561991<72>
2453969292733925926879601012628832821359339437396882393589079671679948955730080634243135956282628491489777457277231741158457478667<130>
factorization results 素因数分解の結果
Number: n
N=1906943745592901315227769261540368482207131362853689307723078830020668669824392150846184617291559130208285930612384646155753097591746747469073923107694214636053285209007535461569232676174514823670545997  ( 202 digits)
SNFS difficulty: 207 digits.
Divisors found:

Mon Sep  7 01:26:32 2020  p72 factor: 777085414735735080238822210080352337023909395385659949241056124331561991
Mon Sep  7 01:26:32 2020  p130 factor: 2453969292733925926879601012628832821359339437396882393589079671679948955730080634243135956282628491489777457277231741158457478667
Mon Sep  7 01:26:32 2020  elapsed time 02:33:49 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.115).
Factorization parameters were as follows:
#
# N = 44x10^206-71 = 48(205)1
#
n: 1906943745592901315227769261540368482207131362853689307723078830020668669824392150846184617291559130208285930612384646155753097591746747469073923107694214636053285209007535461569232676174514823670545997
m: 100000000000000000000000000000000000000000
deg: 5
c5: 440
c0: -71
skew: 0.69
# Murphy_E = 6.77e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 50000000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9793804 hash collisions in 62306927 relations (54662344 unique)
Msieve: matrix is 2498403 x 2498629 (868.0 MB)

Sieving start time: 2020/09/06 02:31:36
Sieving end time  : 2020/09/06 22:51:49

Total sieving time: 20hrs 20min 13secs.

Total relation processing time: 2hrs 12min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 45sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149587] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283124K/16703460K available (12300K kernel code, 2481K rwdata, 4272K rodata, 2436K init, 2724K bss, 420336K reserved, 0K cma-reserved)
[    0.184717] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.39 BogoMIPS (lpj=11976780)
[    0.182223] smpboot: Total of 16 processors activated (95814.24 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 16, 2012 12:00:00 UTC 2012 年 11 月 16 日 (金) 21 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovNovember 27, 2012 16:00:44 UTC 2012 年 11 月 28 日 (水) 1 時 0 分 44 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:22 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 22 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:23 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 23 秒 (日本時間)

44×10207-719

c130

name 名前Warut Roonguthai
date 日付November 29, 2012 07:52:15 UTC 2012 年 11 月 29 日 (木) 16 時 52 分 15 秒 (日本時間)
composite number 合成数
5872495355443020720167886987019108206549927114090988038918566752022389385868978798952811089616488089855832023706210981970511947321<130>
prime factors 素因数
3449338424483153259545628253658490846424661018513<49>
1702499039746426678758702983578335716234009721544151229867084809057263025906610217<82>
factorization results 素因数分解の結果
N = 5872495355443020720167886987019108206549927114090988038918566752022389385868978798952811089616488089855832023706210981970511947321 (130 digits)
Divisors found:
r1=3449338424483153259545628253658490846424661018513 (pp49)
r2=1702499039746426678758702983578335716234009721544151229867084809057263025906610217 (pp82)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 22.31 hours.
Factorization parameters were as follows:
n: 5872495355443020720167886987019108206549927114090988038918566752022389385868978798952811089616488089855832023706210981970511947321
Y0: -12263899172630716927559634
Y1: 3391541549143
c0: 95427736966462645136432197103963
c1: 256639467906747495040367464
c2: -1363717849744350801135
c3: -5199662428163872
c4: -259248668
c5: 21168
skew: 408719.36
type: gnfs
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19636783
Relations: 2453420 relations
Pruned matrix : 1380203 x 1380430
Polynomial selection time: 0.00 hours.
Total sieving time: 20.71 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 1.43 hours.
time per square root: 0.09 hours.
Prototype def-par.txt line would be: gnfs,129,5,65,2000,1e-05,0.28,250,20,50000,3600,7200000,7200000,28,28,55,55,2.5,2.5,100000
total time: 22.31 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 16, 2012 12:00:00 UTC 2012 年 11 月 16 日 (金) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 18, 2012 14:20:25 UTC 2012 年 11 月 18 日 (日) 23 時 20 分 25 秒 (日本時間)
403e61110 / 2126110Ignacio SantosNovember 18, 2012 14:20:25 UTC 2012 年 11 月 18 日 (日) 23 時 20 分 25 秒 (日本時間)
1000Dmitry DomanovNovember 27, 2012 16:00:54 UTC 2012 年 11 月 28 日 (水) 1 時 0 分 54 秒 (日本時間)
4511e632 / 4216Ignacio SantosNovember 18, 2012 14:20:25 UTC 2012 年 11 月 18 日 (日) 23 時 20 分 25 秒 (日本時間)

44×10208-719

c191

name 名前Dmitry Domanov
date 日付November 16, 2012 13:31:53 UTC 2012 年 11 月 16 日 (金) 22 時 31 分 53 秒 (日本時間)
composite number 合成数
61755766294282125472987852197686088409596737548884301313822055980163148559647463279797535300229885929046868708158605023618919446818781394214998744951541637074223378698393503721387959788617149<191>
prime factors 素因数
282837816922620020526510451411<30>
218343384792768118792348334680541010492248684922315536030902088658830828195146639968649084409958901989667371900277827407278092833972468001425690662244409658374959<162>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3287765094
Step 1 took 32422ms
********** Factor found in step 1: 282837816922620020526510451411
Found probable prime factor of 30 digits: 282837816922620020526510451411

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 16, 2012 12:00:00 UTC 2012 年 11 月 16 日 (金) 21 時 0 分 0 秒 (日本時間)

44×10209-719

c204

name 名前Bob Backstrom
date 日付October 31, 2019 07:02:34 UTC 2019 年 10 月 31 日 (木) 16 時 2 分 34 秒 (日本時間)
composite number 合成数
118622244684961829383630459140608257666495014886687313946738126863632972853811536266715862546689648108998314135266617109527989417386036441778032060735020632317492869252917372570121046182416694765310876417<204>
prime factors 素因数
5880296688324467722417072898290466528776563851<46>
20172833272254849892887339998927188885888724550886825381846102075285959030909855899860312425778405825447488990066244891502648294864008458681109551747482258467<158>
factorization results 素因数分解の結果
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 118622244684961829383630459140608257666495014886687313946738126863632972853811536266715862546689648108998314135266617109527989417386036441778032060735020632317492869252917372570121046182416694765310876417 (204 digits)
Using B1=40660000, B2=192393771586, polynomial Dickson(12), sigma=1:2462612656
Step 1 took 618860ms
Step 2 took 139906ms
********** Factor found in step 2: 5880296688324467722417072898290466528776563851
Found probable prime factor of 46 digits: 5880296688324467722417072898290466528776563851
Probable prime cofactor 20172833272254849892887339998927188885888724550886825381846102075285959030909855899860312425778405825447488990066244891502648294864008458681109551747482258467 has 158 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 16, 2012 12:00:00 UTC 2012 年 11 月 16 日 (金) 21 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovNovember 27, 2012 16:01:03 UTC 2012 年 11 月 28 日 (水) 1 時 1 分 3 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:23 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 23 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:23 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 23 秒 (日本時間)

44×10211-719

c176

composite cofactor 合成数の残り
26276589017248519325717012631919685643608714901875626823008044145332880426601830411962260225971005991910462984545184919114496961997096851574853340592865696271134205739497636339<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 16, 2012 12:00:00 UTC 2012 年 11 月 16 日 (金) 21 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovNovember 27, 2012 16:01:11 UTC 2012 年 11 月 28 日 (水) 1 時 1 分 11 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:24 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 24 秒 (日本時間)
4511e6595 / 4188295CypFebruary 14, 2014 12:29:04 UTC 2014 年 2 月 14 日 (金) 21 時 29 分 4 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:31 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 31 秒 (日本時間)

44×10212-719

c193

composite cofactor 合成数の残り
2181997845590080948827155768496260172241312450849146638671324594188815918534847343623079264713401554794004340287692074698761055904693342679812181211024690562529131013519938756762567633376645761<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 16, 2012 12:00:00 UTC 2012 年 11 月 16 日 (金) 21 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovNovember 27, 2012 16:01:21 UTC 2012 年 11 月 28 日 (水) 1 時 1 分 21 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:24 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 24 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:24 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 24 秒 (日本時間)

44×10213-719

c210

name 名前Bob Backstrom
date 日付August 24, 2017 10:20:42 UTC 2017 年 8 月 24 日 (木) 19 時 20 分 42 秒 (日本時間)
composite number 合成数
826803465058158107371704530507168761861811075408234210872465565514779111937914576169269218482815641618279872972922186519345321983576676625890223049025687280380329593926752729390984084033297630456433094687787737<210>
prime factors 素因数
299507104207854567212924942946159923043962849<45>
2345669704150628507225218067815024053820512479<46>
17135656902770064140624107593083769258586099798649227<53>
68679566179815584832014836161039193907364612099213569792658743570261<68>
factorization results 素因数分解の結果
Number: n
N=826803465058158107371704530507168761861811075408234210872465565514779111937914576169269218482815641618279872972922186519345321983576676625890223049025687280380329593926752729390984084033297630456433094687787737
  ( 210 digits)
SNFS difficulty: 214 digits.
Divisors found:

Thu Aug 24 20:04:31 2017  prp45 factor: 299507104207854567212924942946159923043962849
Thu Aug 24 20:04:31 2017  prp46 factor: 2345669704150628507225218067815024053820512479
Thu Aug 24 20:04:31 2017  prp53 factor: 17135656902770064140624107593083769258586099798649227
Thu Aug 24 20:04:31 2017  prp68 factor: 68679566179815584832014836161039193907364612099213569792658743570261
Thu Aug 24 20:04:31 2017  elapsed time 19:30:42 (Msieve 1.44 - dependency 2)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=3.826).
Factorization parameters were as follows:
#
# 44x10^213-71 48(212)1
#
n: 826803465058158107371704530507168761861811075408234210872465565514779111937914576169269218482815641618279872972922186519345321983576676625890223049025687280380329593926752729390984084033297630456433094687787737
m: 200000000000000000000000000000000000
deg: 6
c6: 1375
c0: -142
skew: 0.68
# Murphy_E = 2.809e-12
type: snfs
lss: 1
rlim: 27000000
alim: 27000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 27000000/27000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 47100000)
Primes: RFBsize:1683065, AFBsize:1685200,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 12973514 hash collisions in 65887171 relations (54686227 unique)
Msieve: matrix is 3868168 x 3868393 (1103.5 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 18hrs 57min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 15min 49sec.

Prototype def-par.txt line would be:
snfs,214,6,0,0,0,0,0,0,0,0,27000000,27000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 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
351e6118Makoto KamadaNovember 16, 2012 12:00:00 UTC 2012 年 11 月 16 日 (金) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovNovember 27, 2012 16:01:30 UTC 2012 年 11 月 28 日 (水) 1 時 1 分 30 秒 (日本時間)
4511e64250850Serge BatalovNovember 8, 2013 17:14:22 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 22 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:27:36 UTC 2014 年 1 月 6 日 (月) 11 時 27 分 36 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:13 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 13 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:27 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 27 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:31 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 31 秒 (日本時間)
5043e61 / 6561KTakahashiMay 30, 2014 22:24:59 UTC 2014 年 5 月 31 日 (土) 7 時 24 分 59 秒 (日本時間)

44×10215-719

c137

name 名前Erik Branger
date 日付November 28, 2012 08:27:04 UTC 2012 年 11 月 28 日 (水) 17 時 27 分 4 秒 (日本時間)
composite number 合成数
11997245177221697109520494045161353505861088522337314874351808480723704648423765806296456158748014034030166535686020293391197818817631509<137>
prime factors 素因数
3897356352100617064297804409942306836281563<43>
3078303366012543484710905443788023109243314774297546418508998153806420867276124801205373736143<94>
factorization results 素因数分解の結果
Number: 48881_215
N = 11997245177221697109520494045161353505861088522337314874351808480723704648423765806296456158748014034030166535686020293391197818817631509 (137 digits)
Divisors found:
r1=3897356352100617064297804409942306836281563 (pp43)
r2=3078303366012543484710905443788023109243314774297546418508998153806420867276124801205373736143 (pp94)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 226.81 hours.
Factorization parameters were as follows:
# Murphy_E = 3.711e-11, selected by Erik Branger
n: 11997245177221697109520494045161353505861088522337314874351808480723704648423765806296456158748014034030166535686020293391197818817631509
Y0: -209623374730023138350286313
Y1: 506625199996733
c0: 1197649950932638027495125552049596
c1: 25527691825386230532876508332
c2: -139264503533236094116393
c3: 63837630455497442
c4: 135344941136
c5: 29640
skew: 949955.27
type: gnfs
# selected mechanically
rlim: 14300000
alim: 14300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 14300000/14300000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [7150000, 17350000)
Relations: 22483946
Relations in full relation-set: 3573538 relations
Pruned matrix : 2159952 x 2160183
Polynomial selection time: 0.00 hours.
Total sieving time: 222.69 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 3.85 hours.
time per square root: 0.16 hours.
Prototype def-par.txt line would be: gnfs,136,5,65,2000,1e-05,0.28,250,20,50000,3600,14300000,14300000,28,28,55,55,2.6,2.6,100000
total time: 226.81 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
351e6418118Makoto KamadaNovember 16, 2012 12:00:00 UTC 2012 年 11 月 16 日 (金) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 18, 2012 15:44:41 UTC 2012 年 11 月 19 日 (月) 0 時 44 分 41 秒 (日本時間)
403e61110 / 2126110Ignacio SantosNovember 18, 2012 15:44:41 UTC 2012 年 11 月 19 日 (月) 0 時 44 分 41 秒 (日本時間)
1000Dmitry DomanovNovember 27, 2012 16:01:39 UTC 2012 年 11 月 28 日 (水) 1 時 1 分 39 秒 (日本時間)
4511e632 / 4216Ignacio SantosNovember 18, 2012 15:44:41 UTC 2012 年 11 月 19 日 (月) 0 時 44 分 41 秒 (日本時間)

44×10217-719

c207

name 名前Bob Backstrom
date 日付December 26, 2019 11:37:30 UTC 2019 年 12 月 26 日 (木) 20 時 37 分 30 秒 (日本時間)
composite number 合成数
434213862175355149941006450448246858948042551091764369926624893520763097070118836866477261509648606488011955048400241031865023198955550607305501018982547275043646552182576409329708323232780858925085287221973<207>
prime factors 素因数
57002034259889213173197399896713405004680044123173603851<56>
7617515195960290106981306135131315821425863023315992415676045277836027456273959433216049968790739923933251259191940867192797344778936848230054167243423<151>
factorization results 素因数分解の結果
#
# N = 44x10^217-71 = 48(216)1
#
n: 434213862175355149941006450448246858948042551091764369926624893520763097070118836866477261509648606488011955048400241031865023198955550607305501018982547275043646552182576409329708323232780858925085287221973
m: 1000000000000000000000000000000000000
deg: 6
c6: 440
c0: -71
skew: 0.74
# Murphy_E = 3.28e-12
type: snfs
lss: 1
rlim: 31000000
alim: 31000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6



GMP-ECM 6.2.3 [powered by GMP 6.1.2] [ECM]
Input number is 434213862175355149941006450448246858948042551091764369926624893520763097070118836866477261509648606488011955048400241031865023198955550607305501018982547275043646552182576409329708323232780858925085287221973 (207 digits)
Using B1=100930000, B2=776268975310, polynomial Dickson(30), sigma=2472233732
Step 1 took 570264ms
Step 2 took 157187ms
********** Factor found in step 2: 57002034259889213173197399896713405004680044123173603851
Found probable prime factor of 56 digits: 57002034259889213173197399896713405004680044123173603851
Probable prime cofactor 7617515195960290106981306135131315821425863023315992415676045277836027456273959433216049968790739923933251259191940867192797344778936848230054167243423 has 151 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 16, 2012 12:00:00 UTC 2012 年 11 月 16 日 (金) 21 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovNovember 27, 2012 16:01:49 UTC 2012 年 11 月 28 日 (水) 1 時 1 分 49 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:25 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 25 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:24 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 24 秒 (日本時間)

44×10219-719

c213

name 名前Bob Backstrom
date 日付June 9, 2018 05:10:29 UTC 2018 年 6 月 9 日 (土) 14 時 10 分 29 秒 (日本時間)
composite number 合成数
389305574147108684569467452182680189620481656465489206648946361716886068228438529760247843253755115486304110455476284977590642127426845788638730859581310525901663340802603166043507888485577161926442180508660823597<213>
prime factors 素因数
15432621975993323125502837504971715985250719578641449754029178931<65>
25226145936361599399804519922103242003765705347892445072283388382640139606800729900028123098340258338195643721972199265938273478393791108702229958687<149>
factorization results 素因数分解の結果
Number: n
N=389305574147108684569467452182680189620481656465489206648946361716886068228438529760247843253755115486304110455476284977590642127426845788638730859581310525901663340802603166043507888485577161926442180508660823597
  ( 213 digits)
SNFS difficulty: 220 digits.
Divisors found:

Sat Jun  9 14:13:08 2018  p65 factor: 15432621975993323125502837504971715985250719578641449754029178931
Sat Jun  9 14:13:08 2018  p149 factor: 25226145936361599399804519922103242003765705347892445072283388382640139606800729900028123098340258338195643721972199265938273478393791108702229958687
Sat Jun  9 14:13:08 2018  elapsed time 10:07:35 (Msieve 1.53 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.125).
Factorization parameters were as follows:
#
# 44x10^219-71 = 48(218)1
#
n: 389305574147108684569467452182680189620481656465489206648946361716886068228438529760247843253755115486304110455476284977590642127426845788638730859581310525901663340802603166043507888485577161926442180508660823597
m: 2000000000000000000000000000000000000
deg: 6
c6: 1375
c0: -142
skew: 0.68
# Murphy_E = 1.765e-12
type: snfs
lss: 1
rlim: 34000000
alim: 34000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 34000000/34000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 98600000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 14845369 hash collisions in 72761511 relations (58399786 unique)
Msieve: matrix is 4845682 x 4845909 (1383.3 MB)

Sieving start time: 2018/06/06 13:08:20
Sieving end time  : 2018/06/09 04:03:27

Total sieving time: 62hrs 55min 7secs.

Total relation processing time: 9hrs 25min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 20min 26sec.

Prototype def-par.txt line would be:
snfs,220,6,0,0,0,0,0,0,0,0,34000000,34000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.036000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16286860K/16703460K available (12300K kernel code, 2470K rwdata, 4240K rodata, 2404K init, 2416K bss, 416600K reserved, 0K cma-reserved)
[    0.068658] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.63 BogoMIPS (lpj=11977272)
[    0.066211] smpboot: Total of 16 processors activated (95818.17 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 16, 2012 12:00:00 UTC 2012 年 11 月 16 日 (金) 21 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovNovember 27, 2012 16:01:57 UTC 2012 年 11 月 28 日 (水) 1 時 1 分 57 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:26 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 26 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:24 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 24 秒 (日本時間)

44×10221-719

c171

name 名前Erik Branger
date 日付September 19, 2021 18:15:34 UTC 2021 年 9 月 20 日 (月) 3 時 15 分 34 秒 (日本時間)
composite number 合成数
155998044311468254725562023514771189796901249224385946562575637273481757903718263986832964242872735610837894713350553583544886805084883071889107110766192649484296943995273<171>
prime factors 素因数
4708406171723573641822724353964408661837107429<46>
889915278996325917404905743883058156089408352999179<51>
37230302956710457063433913973397499055363710234331286415995323244664991903<74>
factorization results 素因数分解の結果
Number: 48881_221
N = 155998044311468254725562023514771189796901249224385946562575637273481757903718263986832964242872735610837894713350553583544886805084883071889107110766192649484296943995273 (171 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=4708406171723573641822724353964408661837107429 (pp46)
r2=889915278996325917404905743883058156089408352999179 (pp51)
r3=37230302956710457063433913973397499055363710234331286415995323244664991903 (pp74)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 57.61 hours.
Factorization parameters were as follows:
n: 155998044311468254725562023514771189796901249224385946562575637273481757903718263986832964242872735610837894713350553583544886805084883071889107110766192649484296943995273
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 440
c0: -71
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 8074290 relations
Pruned matrix : 6981733 x 6981958
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 34.19 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 22.13 hours.
time per square root: 0.99 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 57.61 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 16, 2012 12:00:00 UTC 2012 年 11 月 16 日 (金) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovNovember 27, 2012 16:02:12 UTC 2012 年 11 月 28 日 (水) 1 時 2 分 12 秒 (日本時間)
4511e6692 / 4254392CypJanuary 8, 2014 16:23:46 UTC 2014 年 1 月 9 日 (木) 1 時 23 分 46 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:31 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 31 秒 (日本時間)

44×10222-719

c187

name 名前Erik Branger
date 日付December 1, 2021 18:40:40 UTC 2021 年 12 月 2 日 (木) 3 時 40 分 40 秒 (日本時間)
composite number 合成数
2663499944086331905919965248347530009553100221380757535933891867636406864594092515648769598390256136338587408743189167826781127563579431001918997315669690220003029689722987872775898619761<187>
prime factors 素因数
43527170397587370818278720451015219510649706690560646175486497314469987265096752982113706003<92>
61191663040746721680996894671215451847456504438494107464087329653506499179261680436741453732587<95>
factorization results 素因数分解の結果
Number: 48881_222
N = 2663499944086331905919965248347530009553100221380757535933891867636406864594092515648769598390256136338587408743189167826781127563579431001918997315669690220003029689722987872775898619761 (187 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=43527170397587370818278720451015219510649706690560646175486497314469987265096752982113706003 (pp92)
r2=61191663040746721680996894671215451847456504438494107464087329653506499179261680436741453732587 (pp95)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 70.25 hours.
Factorization parameters were as follows:
n: 2663499944086331905919965248347530009553100221380757535933891867636406864594092515648769598390256136338587408743189167826781127563579431001918997315669690220003029689722987872775898619761
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 4400
c0: -71
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 33129664
Relations: 8485526 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 24.98 hours.
Total relation processing time: 0.38 hours.
Pruned matrix : 7303381 x 7303607
Matrix solve time: 44.65 hours.
time per square root: 0.24 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 70.25 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_Factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 16, 2012 12:00:00 UTC 2012 年 11 月 16 日 (金) 21 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovNovember 27, 2012 16:02:29 UTC 2012 年 11 月 28 日 (水) 1 時 2 分 29 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:27 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 27 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:25 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 25 秒 (日本時間)

44×10226-719

c221

composite cofactor 合成数の残り
99674991567269179337283634476401605945341406101513995161685295696056517532491215575032955044086928372418389401648760280965678502392313064650332200889508686109179908149495270761451240693130829995920121367894277454853458507<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 16, 2012 12:00:00 UTC 2012 年 11 月 16 日 (金) 21 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovNovember 27, 2012 16:02:41 UTC 2012 年 11 月 28 日 (水) 1 時 2 分 41 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:27 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 27 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:25 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 25 秒 (日本時間)

44×10227-719

c190

composite cofactor 合成数の残り
5935375071835147857306539558625169367340956402555024148528155072873805627812382257319786218008174805259804805727838320154153594794331840787650824036689234351269131606990719650916739293533581<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 16, 2012 12:00:00 UTC 2012 年 11 月 16 日 (金) 21 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovNovember 27, 2012 16:02:49 UTC 2012 年 11 月 28 日 (水) 1 時 2 分 49 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:28 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 28 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:25 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 25 秒 (日本時間)

44×10228-719

c214

name 名前Dmitry Domanov
date 日付November 16, 2012 15:21:26 UTC 2012 年 11 月 17 日 (土) 0 時 21 分 26 秒 (日本時間)
composite number 合成数
9381429948935922977833066469322913043313777580653528582746329589574684273165159296242688346051592793208328585578453841838431935073785996593892167769590917586365038110095486347508446845938292248652730934430637900133<214>
prime factors 素因数
1292163061023233000239251847<28>
composite cofactor 合成数の残り
7260252387579469378110789272784139097245278684580689241469208737202842718485038373465628511317442290890068274816320890168415240842885266928329200186318364626850701914710167622513772892339<187>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=51594258
Step 1 took 42333ms
Step 2 took 13934ms
********** Factor found in step 2: 1292163061023233000239251847
Found probable prime factor of 28 digits: 1292163061023233000239251847

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 16, 2012 12:00:00 UTC 2012 年 11 月 16 日 (金) 21 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovNovember 27, 2012 16:02:58 UTC 2012 年 11 月 28 日 (水) 1 時 2 分 58 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:29 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 29 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:26 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 26 秒 (日本時間)

44×10229-719

c212

name 名前Dmitry Domanov
date 日付November 17, 2012 19:35:28 UTC 2012 年 11 月 18 日 (日) 4 時 35 分 28 秒 (日本時間)
composite number 合成数
18176330016225395785559586715311584854444928152214848309737635420093405660097719857538226019830650197348098857227308034682586655631276594811541389825693426562614052227541273485575909664352393002647444829453077473<212>
prime factors 素因数
157645519850314207847003927550337291<36>
composite cofactor 合成数の残り
115298741337425758860103067023425985811507018892402677190296904537525343384429731046910305645611631231037665930818800140045993034275086835595239251750705450320773906163606401603<177>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3228049203
Step 1 took 36653ms
Step 2 took 13371ms
********** Factor found in step 2: 157645519850314207847003927550337291
Found probable prime factor of 36 digits: 157645519850314207847003927550337291

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 16, 2012 12:00:00 UTC 2012 年 11 月 16 日 (金) 21 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovNovember 27, 2012 16:03:06 UTC 2012 年 11 月 28 日 (水) 1 時 3 分 6 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:29 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 29 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:26 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 26 秒 (日本時間)

44×10230-719

c200

name 名前Dmitry Domanov
date 日付November 17, 2012 19:51:46 UTC 2012 年 11 月 18 日 (日) 4 時 51 分 46 秒 (日本時間)
composite number 合成数
24006281707231569741595772505409524540303971035553657116626155827804621540389604151343983506379369745116810474504092261583159884672725190456121894918073557059635547071288708330967313824335307710574871<200>
prime factors 素因数
1936193095897293764942359652002147969<37>
12398702256556850035357938363803795609003064471469687339008835937494150561491449867098427006749970744487723558576648531520328876328947952333663915176811463381566359<164>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3915949511
Step 1 took 37627ms
********** Factor found in step 1: 1936193095897293764942359652002147969
Found probable prime factor of 37 digits: 1936193095897293764942359652002147969

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 16, 2012 12:00:00 UTC 2012 年 11 月 16 日 (金) 21 時 0 分 0 秒 (日本時間)

44×10231-719

c207

composite cofactor 合成数の残り
520198950443103381563136616678935633426598965206971254061582078448745035388761791003578266425861829052521013072282953360113085651182944040537641834636187462951418289902821022613709643637415610294289618644597<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 16, 2012 12:00:00 UTC 2012 年 11 月 16 日 (金) 21 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovNovember 27, 2012 16:03:15 UTC 2012 年 11 月 28 日 (水) 1 時 3 分 15 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:30 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 30 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:27 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 27 秒 (日本時間)

44×10232-719

c150

composite cofactor 合成数の残り
505441952985225180446509178303113886115228957357957954690590341982731414407591350712841215930009386170394352817402327026978821761055933755746940626227<150>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 16, 2012 12:00:00 UTC 2012 年 11 月 16 日 (金) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 18, 2012 18:29:58 UTC 2012 年 11 月 19 日 (月) 3 時 29 分 58 秒 (日本時間)
403e64910110Ignacio SantosNovember 18, 2012 18:29:58 UTC 2012 年 11 月 19 日 (月) 3 時 29 分 58 秒 (日本時間)
1000Dmitry DomanovNovember 27, 2012 16:03:23 UTC 2012 年 11 月 28 日 (水) 1 時 3 分 23 秒 (日本時間)
3800Warut RoonguthaiJanuary 16, 2013 05:29:36 UTC 2013 年 1 月 16 日 (水) 14 時 29 分 36 秒 (日本時間)
4511e6338232Ignacio SantosNovember 18, 2012 18:29:58 UTC 2012 年 11 月 19 日 (月) 3 時 29 分 58 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:11:05 UTC 2013 年 11 月 9 日 (土) 2 時 11 分 5 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:07 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 7 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:07 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 7 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:32 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 32 秒 (日本時間)
900Ignacio SantosDecember 27, 2015 16:19:41 UTC 2015 年 12 月 28 日 (月) 1 時 19 分 41 秒 (日本時間)

44×10233-719

c182

composite cofactor 合成数の残り
25616520735995599044715803057497729292650920451611967906723464826917957255612809310177383616677471717207991031786993302483091450938137605506866782674776116252331966046001164943556551<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 16, 2012 12:00:00 UTC 2012 年 11 月 16 日 (金) 21 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovNovember 27, 2012 16:03:32 UTC 2012 年 11 月 28 日 (水) 1 時 3 分 32 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:32 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 32 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:27 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 27 秒 (日本時間)

44×10234-719

c146

name 名前Serge Batalov
date 日付May 24, 2014 19:55:30 UTC 2014 年 5 月 25 日 (日) 4 時 55 分 30 秒 (日本時間)
composite number 合成数
23188147183249378777025272300136285451332408105780139032046162534756004627819748790889103991340476937360067333892665710770227765000824527511847921<146>
prime factors 素因数
36000086355725569479498367516270192810377667<44>
644113654454094421797261926566010194786579502590435749723114426000533976530631459375546724470069064763<102>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=213372568
Step 1 took 34299ms
Step 2 took 19676ms
********** Factor found in step 2: 36000086355725569479498367516270192810377667
Found probable prime factor of 44 digits: 36000086355725569479498367516270192810377667
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 16, 2012 12:00:00 UTC 2012 年 11 月 16 日 (金) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 18, 2012 16:25:13 UTC 2012 年 11 月 19 日 (月) 1 時 25 分 13 秒 (日本時間)
403e63710110Ignacio SantosNovember 18, 2012 16:25:13 UTC 2012 年 11 月 19 日 (月) 1 時 25 分 13 秒 (日本時間)
1000Dmitry DomanovNovember 27, 2012 16:03:45 UTC 2012 年 11 月 28 日 (水) 1 時 3 分 45 秒 (日本時間)
2600Warut RoonguthaiJanuary 15, 2013 22:22:39 UTC 2013 年 1 月 16 日 (水) 7 時 22 分 39 秒 (日本時間)
4511e63082 / 364132Ignacio SantosNovember 18, 2012 16:25:13 UTC 2012 年 11 月 19 日 (月) 1 時 25 分 13 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:10:16 UTC 2013 年 11 月 9 日 (土) 2 時 10 分 16 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:24:25 UTC 2014 年 1 月 6 日 (月) 11 時 24 分 25 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:36:04 UTC 2014 年 5 月 25 日 (日) 2 時 36 分 4 秒 (日本時間)

44×10237-719

c204

name 名前Dmitry Domanov
date 日付November 16, 2012 15:07:24 UTC 2012 年 11 月 17 日 (土) 0 時 7 分 24 秒 (日本時間)
composite number 合成数
863000013446588433076745302556877854574534518609373966029105078312923789369105696346598890893310732285517790864560974629202567711566927632302350810297033784400632181143610715283568924159057506395445128471<204>
prime factors 素因数
15730860706601871427003301749603589<35>
composite cofactor 合成数の残り
54860317533954621457744015863590098857529053986477403309345828302199028530754637599512680299686316532257112056218001761492192013528726533990023896985227487984049203346539<170>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3516598731
Step 1 took 36877ms
Step 2 took 12813ms
********** Factor found in step 2: 15730860706601871427003301749603589
Found probable prime factor of 35 digits: 15730860706601871427003301749603589

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 16, 2012 12:00:00 UTC 2012 年 11 月 16 日 (金) 21 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovNovember 27, 2012 16:03:55 UTC 2012 年 11 月 28 日 (水) 1 時 3 分 55 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:32 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 32 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:27 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 27 秒 (日本時間)

44×10238-719

c215

name 名前Dmitry Domanov
date 日付November 17, 2012 19:42:32 UTC 2012 年 11 月 18 日 (日) 4 時 42 分 32 秒 (日本時間)
composite number 合成数
37238825369668505783905274744426654770838976076010181992065375186784445734828005059643676370038244443020050410189498365413596446480685985956570621760608600376011818810949919027939207852241668201479442750361681642687<215>
prime factors 素因数
149501610985059025092721785041009<33>
composite cofactor 合成数の残り
249086448796796578768112755292795413427815191753566513219936996417192143028289490491501910735955698532362222458957857757827181883803471341199757221385629678609429097279325189968797743<183>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=356578263
Step 1 took 42401ms
Step 2 took 13904ms
********** Factor found in step 2: 149501610985059025092721785041009
Found probable prime factor of 33 digits: 149501610985059025092721785041009

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 16, 2012 12:00:00 UTC 2012 年 11 月 16 日 (金) 21 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovNovember 27, 2012 16:04:03 UTC 2012 年 11 月 28 日 (水) 1 時 4 分 3 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:33 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 33 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:28 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 28 秒 (日本時間)

44×10239-719

c239

name 名前NFS@Home + Tom Womack
date 日付December 30, 2013 10:41:46 UTC 2013 年 12 月 30 日 (月) 19 時 41 分 46 秒 (日本時間)
composite number 合成数
13213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213213<239>
prime factors 素因数
4861530159150855932756567808583693311807781768790839007582926124074336347744534502907013252089369878582019<106>
2717912422767138077837853341987868772408193085438772729186952050115202533119475146819380172585944335598836123722631096373754398047327<133>
factorization results 素因数分解の結果
prp106 factor: 4861530159150855932756567808583693311807781768790839007582926124074336347744534502907013252089369878582019
prp133 factor: 2717912422767138077837853341987868772408193085438772729186952050115202533119475146819380172585944335598836123722631096373754398047327
software ソフトウェア
ggnfs-lasieve4I14e on the NFS@Home grid + msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 16, 2012 12:00:00 UTC 2012 年 11 月 16 日 (金) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovNovember 27, 2012 16:04:12 UTC 2012 年 11 月 28 日 (水) 1 時 4 分 12 秒 (日本時間)
4511e6600Dmitry DomanovDecember 22, 2012 21:37:36 UTC 2012 年 12 月 23 日 (日) 6 時 37 分 36 秒 (日本時間)
5043e61040540Dmitry DomanovJanuary 28, 2013 09:09:10 UTC 2013 年 1 月 28 日 (月) 18 時 9 分 10 秒 (日本時間)
500Dmitry DomanovJanuary 31, 2013 14:29:20 UTC 2013 年 1 月 31 日 (木) 23 時 29 分 20 秒 (日本時間)
5511e71Dmitry DomanovJanuary 31, 2013 14:29:20 UTC 2013 年 1 月 31 日 (木) 23 時 29 分 20 秒 (日本時間)
6026e77475 / 41884yoyo@homeMay 14, 2013 16:32:32 UTC 2013 年 5 月 15 日 (水) 1 時 32 分 32 秒 (日本時間)

44×10240-719

c226

composite cofactor 合成数の残り
4140180874302735080728803607575598582390101859680957677342859454303148649913590257763681137572815557077002483455148768167309880159314900175358761528528314020985864816864158341373156565514936151050918269800964716760840556043333<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 16, 2012 12:00:00 UTC 2012 年 11 月 16 日 (金) 21 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovNovember 27, 2012 16:04:22 UTC 2012 年 11 月 28 日 (水) 1 時 4 分 22 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:33 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 33 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:28 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 28 秒 (日本時間)

44×10241-719

c156

composite cofactor 合成数の残り
312426784538629981529247305454683406608519026218470124350614947900072796241797479388699162169653195405157000704941340571756768466831991523590869679927455949<156>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 16, 2012 12:00:00 UTC 2012 年 11 月 16 日 (金) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 18, 2012 19:48:57 UTC 2012 年 11 月 19 日 (月) 4 時 48 分 57 秒 (日本時間)
403e64110110Ignacio SantosNovember 18, 2012 19:48:57 UTC 2012 年 11 月 19 日 (月) 4 時 48 分 57 秒 (日本時間)
600Lionel DebrouxNovember 18, 2012 20:02:09 UTC 2012 年 11 月 19 日 (月) 5 時 2 分 9 秒 (日本時間)
1000Dmitry DomanovNovember 27, 2012 16:04:31 UTC 2012 年 11 月 28 日 (水) 1 時 4 分 31 秒 (日本時間)
2400Serge BatalovJanuary 20, 2013 21:20:52 UTC 2013 年 1 月 21 日 (月) 6 時 20 分 52 秒 (日本時間)
4511e6356632Ignacio SantosNovember 18, 2012 19:48:57 UTC 2012 年 11 月 19 日 (月) 4 時 48 分 57 秒 (日本時間)
220Serge BatalovJanuary 21, 2013 00:11:37 UTC 2013 年 1 月 21 日 (月) 9 時 11 分 37 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:12:07 UTC 2013 年 11 月 9 日 (土) 2 時 12 分 7 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:01 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 1 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:54 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 54 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:32 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 32 秒 (日本時間)
864Ignacio SantosDecember 26, 2015 23:00:44 UTC 2015 年 12 月 27 日 (日) 8 時 0 分 44 秒 (日本時間)

44×10242-719

c198

composite cofactor 合成数の残り
959644899616931682536721798301577098118675675360285225885142031842443297859246591422065372324183274398727276778116630932766653683944449627065840820583737722728977100735454132273106477978514407099133<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 16, 2012 12:00:00 UTC 2012 年 11 月 16 日 (金) 21 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovNovember 27, 2012 16:04:40 UTC 2012 年 11 月 28 日 (水) 1 時 4 分 40 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:34 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 34 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:28 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 28 秒 (日本時間)

44×10243-719

c228

name 名前Dmitry Domanov
date 日付November 17, 2012 19:53:41 UTC 2012 年 11 月 18 日 (日) 4 時 53 分 41 秒 (日本時間)
composite number 合成数
496991472815153212740274334280628235596348083724208330882719851508606255669520817442447390891837453393221276675180917964202463600559632144305690553267425455191399057309958937731277905871366425232716648332303788699277614961402927<228>
prime factors 素因数
1106692474868746434490679155009131857<37>
composite cofactor 合成数の残り
449078207452432825714244241757678825577999841905684647494749882039474402799909818517704747443194012141692730953204417584452473754804590645233026741062644321657879556653151375089368356870832511<192>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1518230171
Step 1 took 42958ms
Step 2 took 14328ms
********** Factor found in step 2: 1106692474868746434490679155009131857
Found probable prime factor of 37 digits: 1106692474868746434490679155009131857

c192

name 名前Serge Batalov
date 日付January 9, 2014 07:07:28 UTC 2014 年 1 月 9 日 (木) 16 時 7 分 28 秒 (日本時間)
composite number 合成数
449078207452432825714244241757678825577999841905684647494749882039474402799909818517704747443194012141692730953204417584452473754804590645233026741062644321657879556653151375089368356870832511<192>
prime factors 素因数
141489323942709464063638549575105006943<39>
composite cofactor 合成数の残り
3173937050079265205490411683334092343891577796475999938196809184868375884093226454473977489460117746488703120987570433838708536198626466830878101039505377<154>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3228241159
Step 1 took 15041ms
Step 2 took 6363ms
********** Factor found in step 2: 141489323942709464063638549575105006943
Found probable prime factor of 39 digits: 141489323942709464063638549575105006943
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 16, 2012 12:00:00 UTC 2012 年 11 月 16 日 (金) 21 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovNovember 27, 2012 16:04:48 UTC 2012 年 11 月 28 日 (水) 1 時 4 分 48 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:35 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 35 秒 (日本時間)
4511e64188230Ignacio SantosFebruary 7, 2014 17:54:09 UTC 2014 年 2 月 8 日 (土) 2 時 54 分 9 秒 (日本時間)
230Ignacio SantosFebruary 7, 2014 23:33:25 UTC 2014 年 2 月 8 日 (土) 8 時 33 分 25 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:40 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 40 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:33 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 33 秒 (日本時間)
400Serge BatalovJune 23, 2015 21:29:40 UTC 2015 年 6 月 24 日 (水) 6 時 29 分 40 秒 (日本時間)
2128Ignacio SantosFebruary 4, 2016 20:15:04 UTC 2016 年 2 月 5 日 (金) 5 時 15 分 4 秒 (日本時間)

44×10245-719

c241

name 名前Dmitry Domanov
date 日付January 3, 2013 18:23:44 UTC 2013 年 1 月 4 日 (金) 3 時 23 分 44 秒 (日本時間)
composite number 合成数
1601795758663257754056638769937351583611736357523725689563972992267330975053123192291576338127435230114342734054214233629920379829459717931047789212415227689806426623010451353280787151559366373283211687866797577065488327459475477417046092037<241>
prime factors 素因数
19305159561877396019346133347666447849161<41>
composite cofactor 合成数の残り
82972417478816511152751286270217513193052841200045368043385285912224504443331418511411316159495393911270311429840985639797707715505230619997963294035117032352225502920569885352054708029018713917428317<200>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2343796185
Step 1 took 491353ms
Step 2 took 102495ms
********** Factor found in step 2: 19305159561877396019346133347666447849161
Found probable prime factor of 41 digits: 19305159561877396019346133347666447849161

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 16, 2012 12:00:00 UTC 2012 年 11 月 16 日 (金) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovNovember 27, 2012 16:04:57 UTC 2012 年 11 月 28 日 (水) 1 時 4 分 57 秒 (日本時間)
4511e6700 / 2149400Dmitry DomanovDecember 15, 2012 23:38:14 UTC 2012 年 12 月 16 日 (日) 8 時 38 分 14 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:33 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 33 秒 (日本時間)
5043e6600 / 7358Dmitry DomanovDecember 31, 2012 00:20:58 UTC 2012 年 12 月 31 日 (月) 9 時 20 分 58 秒 (日本時間)

44×10246-719

c198

composite cofactor 合成数の残り
186093885135932867958078010875987071435480911438699741754680755535124106632671582262886699211065840490537229024190337980646448061184923698240381464908314271314641547986833565782023263899835384213747<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 16, 2012 12:00:00 UTC 2012 年 11 月 16 日 (金) 21 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovNovember 27, 2012 16:05:07 UTC 2012 年 11 月 28 日 (水) 1 時 5 分 7 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:36 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 36 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:29 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 29 秒 (日本時間)

44×10248-719

c191

name 名前Dmitry Domanov
date 日付November 17, 2012 19:29:11 UTC 2012 年 11 月 18 日 (日) 4 時 29 分 11 秒 (日本時間)
composite number 合成数
81562569345774457142617476195662533130944558142029886013187569167290325925618113372047161864978699201508162981128988808273336201143108516110095309845538154916237341503854585513525070933437837<191>
prime factors 素因数
1511243114940597406920254912399<31>
21136911232045083748499225291846737<35>
2553377572608095819544632253315381805256507345376281989781617659943540474071582811599274950803706088318723516896186874286997299<127>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2756707119
Step 1 took 31955ms
Step 2 took 11520ms
********** Factor found in step 2: 21136911232045083748499225291846737
Found probable prime factor of 35 digits: 21136911232045083748499225291846737

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4235522622
Step 1 took 27165ms
Step 2 took 9806ms
********** Factor found in step 2: 1511243114940597406920254912399
Found probable prime factor of 31 digits: 1511243114940597406920254912399

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 16, 2012 12:00:00 UTC 2012 年 11 月 16 日 (金) 21 時 0 分 0 秒 (日本時間)

44×10250-719

c227

composite cofactor 合成数の残り
34261739423844713830373417390035942446046219041209987102512066481421332214468529239692194462663661932999969307280426147827178655818727051622005793099000133762939244798254191940988846858785830759093750738104751310236696828331799<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 16, 2012 12:00:00 UTC 2012 年 11 月 16 日 (金) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovNovember 19, 2012 22:01:36 UTC 2012 年 11 月 20 日 (火) 7 時 1 分 36 秒 (日本時間)
4511e61000Dmitry DomanovNovember 19, 2012 22:01:36 UTC 2012 年 11 月 20 日 (火) 7 時 1 分 36 秒 (日本時間)
5043e6928 / 7291Dmitry DomanovNovember 26, 2012 13:43:30 UTC 2012 年 11 月 26 日 (月) 22 時 43 分 30 秒 (日本時間)

44×10251-719

c242

composite cofactor 合成数の残り
32986240648757542886253310046965735141690801109799734942528321551458623039260363039496078666860747720809286925135034668117335198067827901272392340421470708919924990337427303062977818820478883865916665940937510684283173269715078231670583464389<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 4, 2021 20:18:03 UTC 2021 年 5 月 5 日 (水) 5 時 18 分 3 秒 (日本時間)
403e62104610Marlon TrifunovicMarch 1, 2022 18:05:14 UTC 2022 年 3 月 2 日 (水) 3 時 5 分 14 秒 (日本時間)
1494ebinaJuly 26, 2022 21:31:46 UTC 2022 年 7 月 27 日 (水) 6 時 31 分 46 秒 (日本時間)

44×10252-719

c229

composite cofactor 合成数の残り
4302716004049583961127109363437248994128619483569694533695116769383512650217677157020379992314997643780317246041078670345664189122793155816010871498609338433251141666502422351783496065199551067609818569939612854132405486783390711<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 4, 2021 20:18:11 UTC 2021 年 5 月 5 日 (水) 5 時 18 分 11 秒 (日本時間)
403e62104610Marlon TrifunovicFebruary 19, 2022 03:31:38 UTC 2022 年 2 月 19 日 (土) 12 時 31 分 38 秒 (日本時間)
1494ebinaJuly 26, 2022 09:12:02 UTC 2022 年 7 月 26 日 (火) 18 時 12 分 2 秒 (日本時間)

44×10253-719

c209

composite cofactor 合成数の残り
22458522688717848194484119333932829826773918040148194310181047983673121221639199349407013548667519267136659920500180768156050456963550967391615717218535924713070947930271227225755618520893636711680641283836387<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 4, 2021 20:18:20 UTC 2021 年 5 月 5 日 (水) 5 時 18 分 20 秒 (日本時間)
403e62104610Marlon TrifunovicFebruary 18, 2022 07:31:12 UTC 2022 年 2 月 18 日 (金) 16 時 31 分 12 秒 (日本時間)
1494ebinaJuly 26, 2022 09:11:08 UTC 2022 年 7 月 26 日 (火) 18 時 11 分 8 秒 (日本時間)

44×10254-719

c182

composite cofactor 合成数の残り
27354748045815772553524728683541785818281743819661418047190658855622569115413037732558660083921505686941062994715475938881934196349492991325887879292228226809686495129314557696398141<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 4, 2021 20:18:28 UTC 2021 年 5 月 5 日 (水) 5 時 18 分 28 秒 (日本時間)
403e62104610Marlon TrifunovicFebruary 17, 2022 13:33:22 UTC 2022 年 2 月 17 日 (木) 22 時 33 分 22 秒 (日本時間)
1494ebinaJuly 27, 2022 03:40:15 UTC 2022 年 7 月 27 日 (水) 12 時 40 分 15 秒 (日本時間)

44×10256-719

c213

name 名前ebina
date 日付July 27, 2022 03:37:32 UTC 2022 年 7 月 27 日 (水) 12 時 37 分 32 秒 (日本時間)
composite number 合成数
859019718443231941607743987425264177544279709473047318295768532555113070564618709075678290136884100019674393562410617673690049400294819540919945425887093525370728107936093748464872689916867457726277279692430506827<213>
prime factors 素因数
18490925817804092285952193248142703750663<41>
composite cofactor 合成数の残り
46456284931721480241994398594915834441491605724643324385573967404480661836213133172651483244627812484033971425913076489433257593452957763963090269849604863641387575236835229<173>
factorization results 素因数分解の結果
C:\MYDATA\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:3678100546 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 859019718443231941607743987425264177544279709473047318295768532555113070564618709075678290136884100019674393562410617673690049400294819540919945425887093525370728107936093748464872689916867457726277279692430506827 (213 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3678100546
Step 1 took 11844ms
Step 2 took 7562ms
********** Factor found in step 2: 18490925817804092285952193248142703750663
Found probable prime factor of 41 digits: 18490925817804092285952193248142703750663
Composite cofactor 46456284931721480241994398594915834441491605724643324385573967404480661836213133172651483244627812484033971425913076489433257593452957763963090269849604863641387575236835229 has 173 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 4, 2021 20:18:38 UTC 2021 年 5 月 5 日 (水) 5 時 18 分 38 秒 (日本時間)
403e64023610Marlon TrifunovicFebruary 19, 2022 08:48:30 UTC 2022 年 2 月 19 日 (土) 17 時 48 分 30 秒 (日本時間)
1063ebinaJuly 27, 2022 03:36:39 UTC 2022 年 7 月 27 日 (水) 12 時 36 分 39 秒 (日本時間)
2350Ignacio SantosJuly 29, 2022 09:56:35 UTC 2022 年 7 月 29 日 (金) 18 時 56 分 35 秒 (日本時間)
4511e64480Ignacio SantosJuly 31, 2022 15:58:32 UTC 2022 年 8 月 1 日 (月) 0 時 58 分 32 秒 (日本時間)

44×10257-719

c192

name 名前Marlon Trifunovic
date 日付February 17, 2022 16:45:29 UTC 2022 年 2 月 18 日 (金) 1 時 45 分 29 秒 (日本時間)
composite number 合成数
307290269379700737898294544320132274110258281823793432171248934288899648224496533475793364598093102573585402982865304350228484748029125700995728142390449012032511798189730637925447721375569471<192>
prime factors 素因数
186266207067139975263758767176195040859370161<45>
1649737084456427627026218906638308811656024384508668663887355227624223716098884187499549988823725336219573959647118560621661056408416293424067785711<148>
factorization results 素因数分解の結果
Run 218 out of 610:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4254785696
Step 1 took 16623ms
Step 2 took 6939ms
********** Factor found in step 2: 186266207067139975263758767176195040859370161
Found prime factor of 45 digits: 186266207067139975263758767176195040859370161
Prime cofactor 1649737084456427627026218906638308811656024384508668663887355227624223716098884187499549988823725336219573959647118560621661056408416293424067785711 has 148 digits
software ソフトウェア
GMP-ECM 7.0.5-dev
execution environment 実行環境
Intel Xeon CPU E5-2695 v4 @ 2.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 4, 2021 20:18:47 UTC 2021 年 5 月 5 日 (水) 5 時 18 分 47 秒 (日本時間)

44×10261-719

c237

composite cofactor 合成数の残り
767277945943937841238500265648572552313800347580255495066372173792409208328800841282184009993364863643836850539355139761600198924722622585552730729850224868784558658242331181692945793745757104581165029354793498364268405171184877637057209<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 4, 2021 20:18:59 UTC 2021 年 5 月 5 日 (水) 5 時 18 分 59 秒 (日本時間)
403e62104610Marlon TrifunovicMarch 3, 2022 10:20:33 UTC 2022 年 3 月 3 日 (木) 19 時 20 分 33 秒 (日本時間)
1494ebinaJuly 27, 2022 10:09:36 UTC 2022 年 7 月 27 日 (水) 19 時 9 分 36 秒 (日本時間)

44×10266-719

c246

name 名前Marlon Trifunovic
date 日付April 15, 2022 00:35:52 UTC 2022 年 4 月 15 日 (金) 9 時 35 分 52 秒 (日本時間)
composite number 合成数
166751508732752782652151076386618949913664045322226674677509241167116742860956386234293174815546881343459025249853711307683828443901475453279891003651289590882909694342685133721709027554060277745011982506957781634251127473849027776043727122058739<246>
prime factors 素因数
14418321245534078274675143093353645279<38>
composite cofactor 合成数の残り
11565251314150202455424990424037908181001814233797865103677752178006435661741672326030692520065925732308543509077238726293960164378167458367189350946985206129494011666509731585921465124936961714184885567333741<209>
factorization results 素因数分解の結果
Run 44 out of 610:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4247073347
Step 1 took 24701ms
Step 2 took 9422ms
********** Factor found in step 2: 14418321245534078274675143093353645279
Found prime factor of 38 digits: 14418321245534078274675143093353645279
Composite cofactor 11565251314150202455424990424037908181001814233797865103677752178006435661741672326030692520065925732308543509077238726293960164378167458367189350946985206129494011666509731585921465124936961714184885567333741 has 209 digits
software ソフトウェア
GMP-ECM 7.0.5-dev
execution environment 実行環境
Intel Xeon CPU E5-2695 v4 @ 2.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 4, 2021 20:19:11 UTC 2021 年 5 月 5 日 (水) 5 時 19 分 11 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 3, 2022 05:22:33 UTC 2022 年 3 月 3 日 (木) 14 時 22 分 33 秒 (日本時間)

44×10267-719

c217

composite cofactor 合成数の残り
1009131641684069642989026669522645833444624251953784261569155448414697073538956070213765546209082235526341419321664516262344443794883655445403073143631834660715905245032708543814713516309276394869142857761694914005707<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 4, 2021 20:19:20 UTC 2021 年 5 月 5 日 (水) 5 時 19 分 20 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 20, 2022 01:28:39 UTC 2022 年 2 月 20 日 (日) 10 時 28 分 39 秒 (日本時間)

44×10268-719

c265

composite cofactor 合成数の残り
5591775007307433248185850267515599781412431532527609389098580451662917635695858273920723880691855071358674240980085655826248300227483574160916034414833454064839172925642100982373200147419522919923240179445143416320357873600467675727883894417120998386010395618081767<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 4, 2021 20:19:29 UTC 2021 年 5 月 5 日 (水) 5 時 19 分 29 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 8, 2022 11:02:28 UTC 2022 年 3 月 8 日 (火) 20 時 2 分 28 秒 (日本時間)

44×10269-719

c198

composite cofactor 合成数の残り
842024151751270355333864605270713143493368066247132684440557000558154082268578806930660113035507872970322166022306193805038165901885176417123030384211186839037180090096802233256888937403579494235101<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 4, 2021 20:19:38 UTC 2021 年 5 月 5 日 (水) 5 時 19 分 38 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 20, 2022 04:24:58 UTC 2022 年 2 月 20 日 (日) 13 時 24 分 58 秒 (日本時間)

44×10270-719

c234

composite cofactor 合成数の残り
841864221123640379788759251321259251519363386379102078546744802373807677936333359000462677419008946801808707668550581143827315860100419263948375853726429395388474108335912372594314130646738110748787846088213639132304153034949089310549<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 4, 2021 20:19:48 UTC 2021 年 5 月 5 日 (水) 5 時 19 分 48 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 2, 2022 06:40:11 UTC 2022 年 3 月 2 日 (水) 15 時 40 分 11 秒 (日本時間)

44×10272-719

c271

composite cofactor 合成数の残り
1016401016401016401016401016401016401016401016401016401016401016401016401016401016401016401016401016401016401016401016401016401016401016401016401016401016401016401016401016401016401016401016401016401016401016401016401016401016401016401016401016401016401016401016401016401<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 4, 2021 20:20:00 UTC 2021 年 5 月 5 日 (水) 5 時 20 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 10, 2022 06:05:29 UTC 2022 年 3 月 10 日 (木) 15 時 5 分 29 秒 (日本時間)

44×10273-719

c254

composite cofactor 合成数の残り
38327652758836639642264615368496842364177489208529892624928759177662875211952480581983975104481618760781106841683196308099882100142568944389921090618285613709281882750277421119744616206220768838996397888085195652654366818359841878286844758213254460582763<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 4, 2021 20:20:09 UTC 2021 年 5 月 5 日 (水) 5 時 20 分 9 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 7, 2022 14:54:38 UTC 2022 年 3 月 7 日 (月) 23 時 54 分 38 秒 (日本時間)

44×10274-719

c259

name 名前Ignacio Santos
date 日付May 4, 2021 20:17:41 UTC 2021 年 5 月 5 日 (水) 5 時 17 分 41 秒 (日本時間)
composite number 合成数
3498570122459926507259778589072543152174952523843455467106461403658123250341909157285042432437326089964825852708805222532490654713771164262656808387667452817330733992031773571505725275711948001921382958918311740679167560668421605490953903535211624483855902157<259>
prime factors 素因数
183159598837457095552293771628061<33>
composite cofactor 合成数の残り
19101210882017124324949927608783796679274190413233233781007357263808677774029213959887988963857967811183609529623236488950405854310851915871635196546596406670514505895580167605919772938590726031950185738018654039684941572269937<227>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3614647584
Step 1 took 5063ms
Step 2 took 2515ms
********** Factor found in step 2: 183159598837457095552293771628061
Found prime factor of 33 digits: 183159598837457095552293771628061
Composite cofactor 19101210882017124324949927608783796679274190413233233781007357263808677774029213959887988963857967811183609529623236488950405854310851915871635196546596406670514505895580167605919772938590726031950185738018654039684941572269937 has 227 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 6, 2021 17:43:51 UTC 2021 年 5 月 7 日 (金) 2 時 43 分 51 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 21, 2022 05:31:55 UTC 2022 年 2 月 21 日 (月) 14 時 31 分 55 秒 (日本時間)

44×10275-719

c271

composite cofactor 合成数の残り
1499967443888433785130345466365445931798525736543672745284733024544580907391669112636305280192214009900466933047248633580793871405745625293814645613941788308912840641754252833830538450813169850518017165763788535953367375776275764923738587037485890931230924419708617687957<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 4, 2021 20:20:28 UTC 2021 年 5 月 5 日 (水) 5 時 20 分 28 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 9, 2022 21:58:37 UTC 2022 年 3 月 10 日 (木) 6 時 58 分 37 秒 (日本時間)

44×10276-719

c239

composite cofactor 合成数の残り
40968517702303645997630999050875840875742169809438571901336337677485233354020676975984969699890897677870348614135055017139826027151383055882317658508000766699610042970733256151487354501435642045159210123431630927133604272231662565436921643<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 4, 2021 20:20:37 UTC 2021 年 5 月 5 日 (水) 5 時 20 分 37 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 1, 2022 23:01:41 UTC 2022 年 3 月 2 日 (水) 8 時 1 分 41 秒 (日本時間)

44×10277-719

c222

composite cofactor 合成数の残り
896273334066336485923604531736708817196583270102667575318142187650840082291418056135291030456047925116629256463794504635749555684157171755750045519420320464771696757690157148153663618968990891428823442912676951867736704627<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 4, 2021 20:20:47 UTC 2021 年 5 月 5 日 (水) 5 時 20 分 47 秒 (日本時間)
403e62104Marlon TrifunovicFebruary 15, 2022 22:00:52 UTC 2022 年 2 月 16 日 (水) 7 時 0 分 52 秒 (日本時間)

44×10279-719

c233

composite cofactor 合成数の残り
18611431563792761081690923193320082196254975353243062717891765723481582167472924385440382207744693507622283798744309532367840013161546819509576289754873615566941634484666034761748765836057199970863066359551749772681924501812104035103<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 4, 2021 20:21:33 UTC 2021 年 5 月 5 日 (水) 5 時 21 分 33 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 1, 2022 18:48:43 UTC 2022 年 3 月 2 日 (水) 3 時 48 分 43 秒 (日本時間)

44×10280-719

c230

composite cofactor 合成数の残り
20227813868529558846993649195406049305801564580824513624815650658697968087806504636457078837028041926949980861596548626099781585620007403688784664678241817110098146684298246925721938651553529849541470793373078162501441105388898377<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 4, 2021 20:21:43 UTC 2021 年 5 月 5 日 (水) 5 時 21 分 43 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 21, 2022 12:52:04 UTC 2022 年 2 月 21 日 (月) 21 時 52 分 4 秒 (日本時間)

44×10281-719

c207

composite cofactor 合成数の残り
529377744926149799845098392766678921127518152344437903146936652519552244144183951409327937324782672920078821073041278294677087409538669305369582968560265489316972401724548170316335988643326562397674246944973<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 4, 2021 20:21:56 UTC 2021 年 5 月 5 日 (水) 5 時 21 分 56 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 20, 2022 08:53:24 UTC 2022 年 2 月 20 日 (日) 17 時 53 分 24 秒 (日本時間)

44×10282-719

c263

composite cofactor 合成数の残り
74005935488561090430887503317095453419032720659381542614920578107386123044961783994732490540437476745612919316590094947151174143845143942131202474386098378937614946486451920752181660392416206017259350869315536330299582222756182835544398145385409737552965208705323<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 4, 2021 20:22:11 UTC 2021 年 5 月 5 日 (水) 5 時 22 分 11 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 24, 2022 00:52:41 UTC 2022 年 2 月 24 日 (木) 9 時 52 分 41 秒 (日本時間)

44×10283-719

c238

composite cofactor 合成数の残り
8254043981371369666557794231898785835850620231038622996715157639903995569540798634015055526536252725838994846741913502918492174424422770353187862175092876087892460080439679111801166213397583606992881435338781893306219949387070264038643961<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 4, 2021 20:22:21 UTC 2021 年 5 月 5 日 (水) 5 時 22 分 21 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 28, 2022 22:54:18 UTC 2022 年 3 月 1 日 (火) 7 時 54 分 18 秒 (日本時間)

44×10284-719

c281

composite cofactor 合成数の残り
78184693569308953924338539723155107770492385877001261616646232030847415462800078184693569308953924338539723155107770492385877001261616646232030847415462800078184693569308953924338539723155107770492385877001261616646232030847415462800078184693569308953924338539723155107770492385877<281>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 4, 2021 20:22:30 UTC 2021 年 5 月 5 日 (水) 5 時 22 分 30 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 10, 2022 15:05:35 UTC 2022 年 3 月 11 日 (金) 0 時 5 分 35 秒 (日本時間)

44×10285-719

c230

composite cofactor 合成数の残り
60163265657629472677684422464033881252769942853118148158591922390573751610698402529946199473615092292747202188584412021340516155806639713293164697715411625684528043471390506197478579724174121588988041482748873299641842773514223537<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 4, 2021 20:22:40 UTC 2021 年 5 月 5 日 (水) 5 時 22 分 40 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 21, 2022 17:12:20 UTC 2022 年 2 月 22 日 (火) 2 時 12 分 20 秒 (日本時間)

44×10286-719

c224

composite cofactor 合成数の残り
62536154393306278498875586764455447960019878657207694002360315627401217945590885162470242283975277416676580280054330230702889859733611859981133425183012631411864192887745262897543467627912279168289547457065068507011347282713<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 4, 2021 20:22:53 UTC 2021 年 5 月 5 日 (水) 5 時 22 分 53 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 21, 2022 08:49:20 UTC 2022 年 2 月 21 日 (月) 17 時 49 分 20 秒 (日本時間)

44×10287-719

c216

composite cofactor 合成数の残り
181175835278976943299178137710441434364030583383166583817779931716551343149625649880147074773637950850935279594763635264897302508661037214028024849782811857998928462115339194749934607865232564929150646528480898015677<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 4, 2021 20:23:02 UTC 2021 年 5 月 5 日 (水) 5 時 23 分 2 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 22, 2022 19:04:33 UTC 2022 年 2 月 23 日 (水) 4 時 4 分 33 秒 (日本時間)

44×10288-719

c275

composite cofactor 合成数の残り
30941138079004061104058326797468210599639238968922233553410384795039670080319362026905864270301654569621399656293908989073270754109849575591970022083012302244070053666782707004962342743347666950670048557860687731572624020857973709844814612500261569412821828890013337139914103<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 4, 2021 20:23:14 UTC 2021 年 5 月 5 日 (水) 5 時 23 分 14 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 9, 2022 19:23:22 UTC 2022 年 3 月 10 日 (木) 4 時 23 分 22 秒 (日本時間)

44×10289-719

c278

composite cofactor 合成数の残り
29381260392413276902823119702285731853758191254318904723995246130936351648703318375036918829038442037542550037705049485524198056877902931384679996481033481573293861676337433115487553917522851122049096686409462159260751097325360375638277185093647722505695005341831138397886132909<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 4, 2021 20:23:23 UTC 2021 年 5 月 5 日 (水) 5 時 23 分 23 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 10, 2022 11:25:47 UTC 2022 年 3 月 10 日 (木) 20 時 25 分 47 秒 (日本時間)

44×10290-719

c287

composite cofactor 合成数の残り
27470297740568010838281108551378821649091919362189632459902730173000443270713540983811254081524351794622064892335162605432875703145973416243686513956784227054497324767595037865308135578405848676118946389216659486929757200027470297740568010838281108551378821649091919362189632459902730173<287>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 4, 2021 20:23:33 UTC 2021 年 5 月 5 日 (水) 5 時 23 分 33 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 10, 2022 18:00:28 UTC 2022 年 3 月 11 日 (金) 3 時 0 分 28 秒 (日本時間)

44×10292-719

c291

composite cofactor 合成数の残り
997732426303854875283446712018140589569160997732426303854875283446712018140589569160997732426303854875283446712018140589569160997732426303854875283446712018140589569160997732426303854875283446712018140589569160997732426303854875283446712018140589569160997732426303854875283446712018140589569<291>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 4, 2021 20:24:08 UTC 2021 年 5 月 5 日 (水) 5 時 24 分 8 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 10, 2022 22:54:03 UTC 2022 年 3 月 11 日 (金) 7 時 54 分 3 秒 (日本時間)

44×10294-719

c289

composite cofactor 合成数の残り
4555562906577518442005768792137015594830719941490006596248017683038635004262039705665080606026533462007278340027422417987184580330673816415577498873792374629614616979142044625673019709746450828237573848004264835164721389537797764274675180599596977632496735266196553281811987570353680444449<289>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 4, 2021 20:26:44 UTC 2021 年 5 月 5 日 (水) 5 時 26 分 44 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 10, 2022 18:48:30 UTC 2022 年 3 月 11 日 (金) 3 時 48 分 30 秒 (日本時間)

44×10295-719

c251

name 名前Ignacio Santos
date 日付May 4, 2021 20:28:37 UTC 2021 年 5 月 5 日 (水) 5 時 28 分 37 秒 (日本時間)
composite number 合成数
16187115677278852169639783340579564181568658809650198425741494348206537209315244472230788872160916186409778042743030122635975311471296225364400957004145915106685904383021935941904461454646864309586684294765253665616307011339762885426166757907761569711<251>
prime factors 素因数
98705931001602404698453390354134940723<38>
composite cofactor 合成数の残り
163993343794265700862785741171299204369850223410181446397337149844228665286384061012770845935041662396279162196295935296033356657815734493624049256285711895309244754128679807972934618868480366433800313112693969557<213>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:969885636
Step 1 took 3859ms
********** Factor found in step 2: 98705931001602404698453390354134940723
Found prime factor of 38 digits: 98705931001602404698453390354134940723
Composite cofactor 163993343794265700862785741171299204369850223410181446397337149844228665286384061012770845935041662396279162196295935296033356657815734493624049256285711895309244754128679807972934618868480366433800313112693969557 has 213 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 6, 2021 17:44:07 UTC 2021 年 5 月 7 日 (金) 2 時 44 分 7 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 4, 2022 01:08:38 UTC 2022 年 3 月 4 日 (金) 10 時 8 分 38 秒 (日本時間)

44×10299-719

c221

composite cofactor 合成数の残り
53618999003122387734570741412124334698951822197872044030689798532854450979058747929092619754469755410917628063040129732998352313792948978551872755033161250917375243118880921321589263339656092686581692426575857357395826513<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 4, 2021 20:31:22 UTC 2021 年 5 月 5 日 (水) 5 時 31 分 22 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 21, 2022 06:07:59 UTC 2022 年 2 月 21 日 (月) 15 時 7 分 59 秒 (日本時間)

44×10300-719

c284

composite cofactor 合成数の残り
12017184448187802101125865273382097395149670546278576453672088788636058149890909647416421647079005325496872288902768116204131616065374016903970448135862115243916971071171198637342107167814971691488043566897461667746721453399151824629708372156164132877448107853545484631209783866996441<284>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200Dmitry DomanovJanuary 18, 2021 09:40:06 UTC 2021 年 1 月 18 日 (月) 18 時 40 分 6 秒 (日本時間)
4511e62000Dmitry DomanovApril 22, 2021 23:19:55 UTC 2021 年 4 月 23 日 (金) 8 時 19 分 55 秒 (日本時間)
5043e6640 / 7059Dmitry DomanovApril 29, 2021 21:03:18 UTC 2021 年 4 月 30 日 (金) 6 時 3 分 18 秒 (日本時間)