Bases 251-500 reservations/statuses/primes - Page 12

MyDogBuster · 2010-01-13, 15:48

More algebraic factors.

Reserving Riesel 364, 369 and 379

MyDogBuster · 2010-01-14, 00:17

If no one objects, I'll be attacking the following base from n=100K to n=200K.

Sierp 252

MyDogBuster · 2010-01-14, 00:43

Riesel Base 294
Conjectured k = 119
Covering Set = 5, 59
Trivial Factors k == 1 mod 293(293)

Found Primes: 111k's File attached

Remaining k's: Tested to n=25K
4*294^n-1 <------ Proven composite by partial algebraic factors
6*294^n-1
9*294^n-1 <------ Proven composite by partial algebraic factors
49*294^n-1 <------ Proven composite by partial algebraic factors
64*294^n-1 <------ Proven composite by partial algebraic factors
96*294^n-1

Base Released

MyDogBuster · 2010-01-14, 00:48

Riesel Base 334
Conjectured k = 66
Covering Set = 5, 67
Trivial Factors k == 1 mod 3(3) and k == 1 mod 37(37)

Found Primes: 40k's File attached

Remaining k's: Tested to n=25K
9*334^n-1 <------ Proven composite by partial algebraic factors
14*334^n-1

Trivial Factor Eliminations: 22k's

Base Released

MyDogBuster · 2010-01-14, 18:42

Riesel Base 354
Conjectured k = 141
Covering Set = 5, 71
Trivial Factors k == 1 mod 353(353)

Found Primes: 132k's File attached

Remaining k's: Tested to n=25K
4*354^n-1 <------ Proven composite by partial algebraic factors
6*354^n-1
9*354^n-1 <------ Proven composite by partial algebraic factors
19*354^n-1
49*354^n-1 <------ Proven composite by partial algebraic factors
64*354^n-1 <------ Proven composite by partial algebraic factors
71*354^n-1

Base Released

MyDogBuster · 2010-01-14, 18:47

Riesel Base 364
Conjectured k = 74
Covering Set = 5, 73
Trivial Factors k == 1 mod 3(3) and k == 1 mod 11(11)

Found Primes: 43k's File attached

Remaining k's:
9*364^n-1 <------ Proven composite by partial algebraic factors

Trivial Factors: 28k's

Conjecture Proven

MyDogBuster · 2010-01-14, 18:50

Riesel Base 369
Conjectured k = 36
Covering Set = 5, 37
Trivial Factors k == 1 mod 2(2) and k == 1 mod 23(23)

Found Primes: 15k's File attached

Remaining k's:
4*369^n-1 <------ Proven composite by partial algebraic factors

Trivial Factors:
24

Conjecture Proven

MyDogBuster · 2010-01-14, 18:54

Riesel Base 379
Conjectured k = 56
Covering Set = 5, 19
Trivial Factors k == 1 mod 2(2) and k == 1 mod 3(3) and k == 1 mod 7(7)

Found Primes: 15k's File attached

Trivial Factor Eliminations: 12k's

Conjecture Proven

MyDogBuster · 2010-01-14, 18:57

Riesel Base 394
Conjectured k = 159
Covering Set = 5, 79
Trivial Factors k == 1 mod 3(3) and k == 1 mod 131(131)

Found Primes: 96k's File attached

Remaining k's: Tested to n=25K
9*394^n-1 <------ Proven composite by partial algebraic factors
78*394^n-1
80*394^n-1
81*394^n-1
86*394^n-1
89*394^n-1
144*394^n-1 <------ Proven composite by partial algebraic factors
146*394^n-1

Trivial Factor Eliminations: 53k's

Base Released

MyDogBuster · 2010-01-14, 19:04

Riesel Base 414
Conjectured k = 84
Covering Set = 5, 83
Trivial Factors k == 1 mod 7(7) and k == 1 mod 59(59)

Found Primes: 66k's File attached

Remaining k's: Tested to n=25K
4*414^n-1 <------ Proven composite by partial algebraic factors
9*414^n-1 <------ Proven composite by partial algebraic factors
46*414^n-1
49*414^n-1 <------ Proven composite by partial algebraic factors

Trivial Factor Eliminations: 12k's

Base Released

appeldorff · 2010-01-15, 00:26

Just checking in on my reservation:

I have just crossed the n=24000 mark. Looks like I'm finally reaching the end

I'm not entirely sure about how many primes i've found since my last update @ n=15000 but I'll count whenever I'm done with the range.
One thing i can tell however is that there will be less than half the original candidates remaining (Currently have 273 candidates remaining out of 547).

2010-01-14, 00:17	#123
MyDogBuster May 2008 Wilmington, DE 2²·23·31 Posts	If no one objects, I'll be attacking the following base from n=100K to n=200K. Sierp 252 Last fiddled with by gd_barnes on 2010-01-19 at 07:34 Reason: remove bases <= 250

2010-01-14, 00:43	#124
MyDogBuster May 2008 Wilmington, DE 2²×23×31 Posts	Riesel Base 294 Riesel Base 294 Conjectured k = 119 Covering Set = 5, 59 Trivial Factors k == 1 mod 293(293) Found Primes: 111k's File attached Remaining k's: Tested to n=25K 4294^n-1 <------ Proven composite by partial algebraic factors 6294^n-1 9294^n-1 <------ Proven composite by partial algebraic factors 49294^n-1 <------ Proven composite by partial algebraic factors 64294^n-1 <------ Proven composite by partial algebraic factors 96294^n-1 Base Released Last fiddled with by MyDogBuster on 2014-09-02 at 09:16

2010-01-14, 00:48	#125
MyDogBuster May 2008 Wilmington, DE B24₁₆ Posts	Riesel Base 334 Riesel Base 334 Conjectured k = 66 Covering Set = 5, 67 Trivial Factors k == 1 mod 3(3) and k == 1 mod 37(37) Found Primes: 40k's File attached Remaining k's: Tested to n=25K 9334^n-1 <------ Proven composite by partial algebraic factors 14334^n-1 Trivial Factor Eliminations: 22k's Base Released Last fiddled with by MyDogBuster on 2014-09-02 at 09:16

2010-01-14, 18:42	#126
MyDogBuster May 2008 Wilmington, DE 2²×23×31 Posts	Riesel Base 354 Riesel Base 354 Conjectured k = 141 Covering Set = 5, 71 Trivial Factors k == 1 mod 353(353) Found Primes: 132k's File attached Remaining k's: Tested to n=25K 4354^n-1 <------ Proven composite by partial algebraic factors 6354^n-1 9354^n-1 <------ Proven composite by partial algebraic factors 19354^n-1 49354^n-1 <------ Proven composite by partial algebraic factors 64354^n-1 <------ Proven composite by partial algebraic factors 71354^n-1 Base Released Last fiddled with by MyDogBuster on 2014-09-02 at 09:16*

2010-01-14, 18:47	#127
MyDogBuster May 2008 Wilmington, DE 2²·23·31 Posts	Riesel Base 364 Riesel Base 364 Conjectured k = 74 Covering Set = 5, 73 Trivial Factors k == 1 mod 3(3) and k == 1 mod 11(11) Found Primes: 43k's File attached Remaining k's: 9364^n-1 <------ Proven composite by partial algebraic factors Trivial Factors: 28k's Conjecture Proven Last fiddled with by MyDogBuster on 2014-09-02 at 09:16*

2010-01-13, 15:48	#122
MyDogBuster May 2008 Wilmington, DE 2²·23·31 Posts	More algebraic factors. Reserving Riesel 364, 369 and 379

2010-01-14, 18:50	#128
MyDogBuster May 2008 Wilmington, DE 2²·23·31 Posts	Riesel Base 369 Riesel Base 369 Conjectured k = 36 Covering Set = 5, 37 Trivial Factors k == 1 mod 2(2) and k == 1 mod 23(23) Found Primes: 15k's File attached Remaining k's: 4369^n-1 <------ Proven composite by partial algebraic factors Trivial Factors: 24 Conjecture Proven Last fiddled with by MyDogBuster on 2014-09-02 at 09:16*

2010-01-14, 18:54	#129
MyDogBuster May 2008 Wilmington, DE 2852₁₀ Posts	Riesel Base 379 Riesel Base 379 Conjectured k = 56 Covering Set = 5, 19 Trivial Factors k == 1 mod 2(2) and k == 1 mod 3(3) and k == 1 mod 7(7) Found Primes: 15k's File attached Trivial Factor Eliminations: 12k's Conjecture Proven Last fiddled with by MyDogBuster on 2014-09-02 at 09:16

2010-01-14, 18:57	#130
MyDogBuster May 2008 Wilmington, DE 2²×23×31 Posts	Riesel Base 394 Riesel Base 394 Conjectured k = 159 Covering Set = 5, 79 Trivial Factors k == 1 mod 3(3) and k == 1 mod 131(131) Found Primes: 96k's File attached Remaining k's: Tested to n=25K 9394^n-1 <------ Proven composite by partial algebraic factors 78394^n-1 80394^n-1 81394^n-1 86394^n-1 89394^n-1 144394^n-1 <------ Proven composite by partial algebraic factors 146394^n-1 Trivial Factor Eliminations: 53k's Base Released Last fiddled with by MyDogBuster on 2014-09-02 at 09:16

2010-01-14, 19:04	#131
MyDogBuster May 2008 Wilmington, DE 101100100100₂ Posts	Riesel Base 414 Riesel Base 414 Conjectured k = 84 Covering Set = 5, 83 Trivial Factors k == 1 mod 7(7) and k == 1 mod 59(59) Found Primes: 66k's File attached Remaining k's: Tested to n=25K 4414^n-1 <------ Proven composite by partial algebraic factors 9414^n-1 <------ Proven composite by partial algebraic factors 46414^n-1 49414^n-1 <------ Proven composite by partial algebraic factors Trivial Factor Eliminations: 12k's Base Released Last fiddled with by MyDogBuster on 2014-09-02 at 09:16

2010-01-15, 00:26	#132
appeldorff Oct 2009 Lyngby, Denmark 14₈ Posts	Sierp 255 Just checking in on my reservation: I have just crossed the n=24000 mark. Looks like I'm finally reaching the end I'm not entirely sure about how many primes i've found since my last update @ n=15000 but I'll count whenever I'm done with the range. One thing i can tell however is that there will be less than half the original candidates remaining (Currently have 273 candidates remaining out of 547). Last fiddled with by appeldorff on 2010-01-15 at 00:26

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