Bases 251-500 reservations/statuses/primes - Page 11

gd_barnes · 2010-01-03, 19:06

Quote:

Originally Posted by rogue

I found more primes during my PRPNet 3.0 testing.

My apologies if I've stepped on any toes. AFAICT, these were released.

I will continue with them (and a few others) to 25000.

No problem. If you have a good idea of which bases you will be running to n=25K and can post them here, I'll go ahead and reserve them for you to avoid any duplication of work.

Gary

rogue · 2010-01-03, 19:20

Quote:

Originally Posted by gd_barnes

No problem. If you have a good idea of which bases you will be running to n=25K and can post them here, I'll go ahead and reserve them for you to avoid any duplication of work.

Gary

Sierpinski base 353

MyDogBuster · 2010-01-05, 20:13

Sierp Base 368
Conjectured k = 40
Covering Set = 3, 41
Trivial Factors k == 366 mod 367(367)

Found Primes: 35k's File attached

Remaining k's: Tested to n=25K
8*368^n+1
12*368^n+1
34*368^n+1

GFN:
k=1 is a GFN with no known prime

Base Released

MyDogBuster · 2010-01-07, 07:13

Riesel Base 264
Conjectured k = 54
Covering Set = 5, 53
Trivial Factors k == 1 mod 263(263)

Found Primes: 49k's File attached

Remaining k's:
4*264^n-1 <------ Proven composite by partial algebraic factors
9*264^n-1 <------ Proven composite by partial algebraic factors
49*264^n-1 <------ Proven composite by partial algebraic factors

Conjecture Proven

MyDogBuster · 2010-01-07, 07:15

More algebraic factors

Reserving Riesel 274,294 and 309

MyDogBuster · 2010-01-08, 13:45

Riesel Base 274
Conjectured k = 21
Covering Set = 5, 11
Trivial Factors k == 1 mod 3(3) and k == 1 mod 7(7)

Found Primes:
2*274^1-1
3*274^1-1
5*274^4-1
6*274^3-1
11*274^3-1
12*274^51-1
17*274^1-1
18*274^1-1
20*274^1-1

Remaining k's:
9*274^n-1 <------ Proven composite by partial algebraic factors

Trivial Factor Eliminations: 9k's

Conjecture Proven

MyDogBuster · 2010-01-09, 19:38

Riesel Base 309
Conjectured k = 94
Covering Set = 5, 31
Trivial Factors k == 1 mod 2(2) and k == 1 mod 7(7) and k == 1 mod 11(11)

Found Primes: 35k's File attached

Remaining k's:
4*309^n-1 <------ Proven composite by partial algebraic factors

Trivial Factor Eliminations: 10k's

Conjecture Proven

MyDogBuster · 2010-01-09, 19:58

More algebraic factors

Reserving Riesel 324, 334 and 339

rogue · 2010-01-10, 13:45

Quote:

Originally Posted by rogue

Sierpinski base 353

This is searched to 25K. There are no primes.

I am reserving Riesel and Sierpinski bases 322, 328, and 422.

MyDogBuster · 2010-01-10, 14:44

Quote:

More algebraic factors

Reserving Riesel 324, 334 and 339

Oops, 324 already done so I'll do 354 instead along with 334 and 339.

MyDogBuster · 2010-01-11, 19:29

Riesel Base 339
Conjectured k = 16
Covering Set = 5, 17
Trivial Factors k == 1 mod 2(2) and k == 1 mod 13(13)

Found Primes:
2*339^1-1
6*339^121-1
8*339^1-1
10*339^1-1
12*339^3-1

Remaining k's:
4*339^n-1 <------ Proven composite by partial algebraic factors

Trivial Factor Eliminations:
14

Conjecture Proven

2010-01-05, 20:13	#113
MyDogBuster May 2008 Wilmington, DE 2²×23×31 Posts	Sierp Base 368 Sierp Base 368 Conjectured k = 40 Covering Set = 3, 41 Trivial Factors k == 366 mod 367(367) Found Primes: 35k's File attached Remaining k's: Tested to n=25K 8368^n+1 12368^n+1 34368^n+1 GFN: k=1 is a GFN with no known prime Base Released Last fiddled with by MyDogBuster on 2014-09-02 at 09:16*

2010-01-07, 07:13	#114
MyDogBuster May 2008 Wilmington, DE 101100100100₂ Posts	Riesel Base 264 Riesel Base 264 Conjectured k = 54 Covering Set = 5, 53 Trivial Factors k == 1 mod 263(263) Found Primes: 49k's File attached Remaining k's: 4264^n-1 <------ Proven composite by partial algebraic factors 9264^n-1 <------ Proven composite by partial algebraic factors 49264^n-1 <------ Proven composite by partial algebraic factors Conjecture Proven Last fiddled with by MyDogBuster on 2014-09-02 at 09:16*

2010-01-08, 13:45	#116
MyDogBuster May 2008 Wilmington, DE 2²·23·31 Posts	Riesel Base 274 Riesel Base 274 Conjectured k = 21 Covering Set = 5, 11 Trivial Factors k == 1 mod 3(3) and k == 1 mod 7(7) Found Primes: 2274^1-1 3274^1-1 5274^4-1 6274^3-1 11274^3-1 12274^51-1 17274^1-1 18274^1-1 20274^1-1 Remaining k's: 9274^n-1 <------ Proven composite by partial algebraic factors Trivial Factor Eliminations: 9k's Conjecture Proven

2010-01-09, 19:38	#117
MyDogBuster May 2008 Wilmington, DE 2²×23×31 Posts	Riesel Base 309 Riesel Base 309 Conjectured k = 94 Covering Set = 5, 31 Trivial Factors k == 1 mod 2(2) and k == 1 mod 7(7) and k == 1 mod 11(11) Found Primes: 35k's File attached Remaining k's: 4309^n-1 <------ Proven composite by partial algebraic factors Trivial Factor Eliminations: 10k's Conjecture Proven Last fiddled with by MyDogBuster on 2014-09-02 at 09:16*

2010-01-11, 19:29	#121
MyDogBuster May 2008 Wilmington, DE 2852₁₀ Posts	Riesel Base 339 Riesel Base 339 Conjectured k = 16 Covering Set = 5, 17 Trivial Factors k == 1 mod 2(2) and k == 1 mod 13(13) Found Primes: 2339^1-1 6339^121-1 8339^1-1 10339^1-1 12339^3-1 Remaining k's: 4339^n-1 <------ Proven composite by partial algebraic factors Trivial Factor Eliminations: 14 Conjecture Proven

2010-01-07, 07:15	#115
MyDogBuster May 2008 Wilmington, DE 2²·23·31 Posts	More algebraic factors Reserving Riesel 274,294 and 309

2010-01-09, 19:58	#118
MyDogBuster May 2008 Wilmington, DE 2²×23×31 Posts	More algebraic factors Reserving Riesel 324, 334 and 339

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