Bases 251-500 reservations/statuses/primes - Page 10

Mini-Geek · 2009-12-17, 13:55

Primes: (by b then k)

Code:

2*269^3+1
2*284^1+1
3*284^1+1
2*299^1+1
2*314^3+1
3*314^280+1
2*329^1+1
2*344^17+1
3*344^1+1
2*359^1+1
2*374^33+1
3*374^1+1
2*389^5+1
2*404^1+1
3*404^1+1
2*419^1+1
2*434^9+1
3*434^1+1
2*449^435+1
2*464^1+1
3*464^2+1
2*479^3+1
2*494^21+1
3*494^1+1

GFN primes: (by b)

Code:

284^2+1
314^2+1
374^4+1
434^8+1
464^2+1
494^4+1

GFNs with no primes to 32768 (2^15):

Code:

344^n+1
404^n+1

MyDogBuster · 2009-12-21, 04:37

Riesel Base 289
Conjectured k = 86
Covering Set = 5,29
Trivial Factors k == 1 mod 2(2) and 1 mod 3(3)

Found Primes: 27k's File attached

Remaining k's:
36*289^n-1 <----Proven composite by full algebraic factors

Trivial Factor Eliminations: 14k's

Conjecture Proven

HTML attached

MyDogBuster · 2009-12-21, 05:14

Sierp Base 265
Conjectured k = 246
Covering Set = 7,19
Trivial Factors k == 1 mod 2(2) and k == 2 mod 3(3) and k == 10 mod 11(11)

Found Primes: 74k's File attached

Trivial Factor Eliminations: 48'ks

Conjecture Proven

HTML attached

MyDogBuster · 2009-12-22, 02:41

Almost caught up on my new reservations so:

Reserving Riesel bases 324,441,484
to clean up some k's with full algebraic factors

MyDogBuster · 2009-12-22, 06:08

Riesel Base 324
Conjectured k = 14
Covering Set = 5, 13
Trivial Factors k == 1 mod 17(17) and k == 1 mod 19(19)

Found Primes:
2*324^1-1
3*324^1-1
5*324^1-1
6*324^3-1
7*324^1-1
8*324^1-1
10*324^3-1
11*324^149-1
12*324^4-1
13*324^1-1

Remaining k's:
4*324^n-1 <----- Proven composite by full algebraic factors
9*324^n-1 <----- Proven composite by full algebraic factors

Conjecture Proven

HTML attached

MyDogBuster · 2009-12-22, 22:14

Riesel Base 441
Conjectured k = 118
Covering Set = 13, 17
Trivial Factors k == 1 mod 2(2) and k == 1 mod 5(5) and k == 1 mod 11(11)

Found Primes: 40k's File attached

Remaining k's:
4*441^n-1 <----- Proven composite by full algebraic factors
64*441^n-1 <----- Proven composite by full algebraic factors

Trivial Factor Eliminations: 16k's

Conjecture Proven

HTML attached

MyDogBuster · 2009-12-22, 22:18

Riesel Base 484
Conjectured k = 96
Covering Set = 5, 97
Trivial Factors k == 1 mod 3(3) and k == 1 mod 7(7) and k == 1 mod 23(23)

Found Primes: 49k's File attached

Remaining k's:
9*484^n-1 <----- Proven composite by full algebraic factors
81*484^n-1 <----- Proven composite by full algebraic factors

Trivial Factor Eliminations: 43k's

Conjecture Proven

HTML attached

MyDogBuster · 2009-12-22, 22:29

Sierp Base 259
Conjectured k = 144
Covering Set = 5,13
Trivial Factors k == 1 mod 2(2) and k == 2 mod 3(3) and k == 42 mod 43(43)

Found Primes: 45k's File attached

Remaining k's: Tested to n=25K
64*259^n+1

Trivial Factor Eliminations: 25k's File attached

Base released

HTML attached

MyDogBuster · 2009-12-23, 22:31

Sierp Base 289
Conjectured k = 204
Covering Set = 5,29
Trivial Factors k == 1 mod 2(2) and k == 2 mod 3(3)

Found Primes: 65k's File attached

Remaining k's: Tested to n=25K
156*289^n+1
160*289^n+1

Trivial Factor Eliminations: 34k's

Base Released

HTML attached

MyDogBuster · 2009-12-28, 19:52

Sierp Base 317
Conjectured k = 52
Covering Set = 3, 53
Trivial Factors k == 1 mod 2(2) and k == 78 mod 79(79)

Found Primes: 23k's File attached

Remaining k's: Tested to n=25K
20*317^n+1
44*317^n+1

Releasing Base

HTML attached

MyDogBuster · 2010-01-02, 16:34

Reserving 1 more for algebraic factors.

Riesel 264

2009-12-17, 13:55	#100
Mini-Geek Account Deleted "Tim Sorbera" Aug 2006 San Antonio, TX USA 17×251 Posts	Primes: (by b then k) Code: 2269^3+1 2284^1+1 3284^1+1 2299^1+1 2314^3+1 3314^280+1 2329^1+1 2344^17+1 3344^1+1 2359^1+1 2374^33+1 3374^1+1 2389^5+1 2404^1+1 3404^1+1 2419^1+1 2434^9+1 3434^1+1 2449^435+1 2464^1+1 3464^2+1 2479^3+1 2494^21+1 3494^1+1 GFN primes: (by b) Code: 284^2+1 314^2+1 374^4+1 434^8+1 464^2+1 494^4+1 GFNs with no primes to 32768 (2^15): Code: 344^n+1 404^n+1 Last fiddled with by gd_barnes on 2010-01-19 at 07:57 Reason: remove bases <= 250 and > 500

2009-12-21, 04:37	#101
MyDogBuster May 2008 Wilmington, DE 101100100100₂ Posts	Riesel Base 289 Riesel Base 289 Conjectured k = 86 Covering Set = 5,29 Trivial Factors k == 1 mod 2(2) and 1 mod 3(3) Found Primes: 27k's File attached Remaining k's: 36289^n-1 <----Proven composite by full algebraic factors Trivial Factor Eliminations: 14k's Conjecture Proven HTML attached Last fiddled with by MyDogBuster on 2014-09-02 at 09:16*

2009-12-21, 05:14	#102
MyDogBuster May 2008 Wilmington, DE 2²×23×31 Posts	Sierp Base 265 Sierp Base 265 Conjectured k = 246 Covering Set = 7,19 Trivial Factors k == 1 mod 2(2) and k == 2 mod 3(3) and k == 10 mod 11(11) Found Primes: 74k's File attached Trivial Factor Eliminations: 48'ks Conjecture Proven HTML attached Last fiddled with by MyDogBuster on 2014-09-02 at 09:16

2009-12-22, 02:41	#103
MyDogBuster May 2008 Wilmington, DE 2²×23×31 Posts	Almost caught up on my new reservations so: Reserving Riesel bases 324,441,484 to clean up some k's with full algebraic factors Last fiddled with by gd_barnes on 2010-01-18 at 14:40 Reason: remove bases > 500

2009-12-22, 06:08	#104
MyDogBuster May 2008 Wilmington, DE 2²·23·31 Posts	Riesel Base 324 Riesel Base 324 Conjectured k = 14 Covering Set = 5, 13 Trivial Factors k == 1 mod 17(17) and k == 1 mod 19(19) Found Primes: 2324^1-1 3324^1-1 5324^1-1 6324^3-1 7324^1-1 8324^1-1 10324^3-1 11324^149-1 12324^4-1 13324^1-1 Remaining k's: 4324^n-1 <----- Proven composite by full algebraic factors 9324^n-1 <----- Proven composite by full algebraic factors Conjecture Proven HTML attached Last fiddled with by MyDogBuster on 2014-09-02 at 09:16

2009-12-22, 22:14	#105
MyDogBuster May 2008 Wilmington, DE 5444₈ Posts	Riesel Base 441 Riesel Base 441 Conjectured k = 118 Covering Set = 13, 17 Trivial Factors k == 1 mod 2(2) and k == 1 mod 5(5) and k == 1 mod 11(11) Found Primes: 40k's File attached Remaining k's: 4441^n-1 <----- Proven composite by full algebraic factors 64441^n-1 <----- Proven composite by full algebraic factors Trivial Factor Eliminations: 16k's Conjecture Proven HTML attached Last fiddled with by MyDogBuster on 2014-09-02 at 09:16

2009-12-22, 22:18	#106
MyDogBuster May 2008 Wilmington, DE 2852₁₀ Posts	Riesel Base 484 Riesel Base 484 Conjectured k = 96 Covering Set = 5, 97 Trivial Factors k == 1 mod 3(3) and k == 1 mod 7(7) and k == 1 mod 23(23) Found Primes: 49k's File attached Remaining k's: 9484^n-1 <----- Proven composite by full algebraic factors 81484^n-1 <----- Proven composite by full algebraic factors Trivial Factor Eliminations: 43k's Conjecture Proven HTML attached Last fiddled with by MyDogBuster on 2014-09-02 at 09:16

2009-12-22, 22:29	#107
MyDogBuster May 2008 Wilmington, DE 101100100100₂ Posts	Sierp Base 259 Sierp Base 259 Conjectured k = 144 Covering Set = 5,13 Trivial Factors k == 1 mod 2(2) and k == 2 mod 3(3) and k == 42 mod 43(43) Found Primes: 45k's File attached Remaining k's: Tested to n=25K 64259^n+1 Trivial Factor Eliminations: 25k's File attached Base released HTML attached Last fiddled with by MyDogBuster on 2014-09-02 at 09:16*

2009-12-23, 22:31	#108
MyDogBuster May 2008 Wilmington, DE 5444₈ Posts	Sierp Base 289 Sierp Base 289 Conjectured k = 204 Covering Set = 5,29 Trivial Factors k == 1 mod 2(2) and k == 2 mod 3(3) Found Primes: 65k's File attached Remaining k's: Tested to n=25K 156289^n+1 160289^n+1 Trivial Factor Eliminations: 34k's Base Released HTML attached Last fiddled with by MyDogBuster on 2014-09-02 at 09:16

2009-12-28, 19:52	#109
MyDogBuster May 2008 Wilmington, DE 101100100100₂ Posts	Sierp Base 317 Sierp Base 317 Conjectured k = 52 Covering Set = 3, 53 Trivial Factors k == 1 mod 2(2) and k == 78 mod 79(79) Found Primes: 23k's File attached Remaining k's: Tested to n=25K 20317^n+1 44317^n+1 Releasing Base HTML attached Last fiddled with by MyDogBuster on 2014-09-02 at 09:16

2010-01-02, 16:34	#110
MyDogBuster May 2008 Wilmington, DE 2²·23·31 Posts	Reserving 1 more for algebraic factors. Riesel 264 Last fiddled with by gd_barnes on 2010-01-18 at 14:44 Reason: remove bases <= 250

Similar Threads
Thread	Thread Starter	Forum	Replies	Last Post
Riesel base 3 reservations/statuses/primes	KEP	Conjectures 'R Us	1107	2021-07-26 18:37
Bases 501-1030 reservations/statuses/primes	KEP	Conjectures 'R Us	3913	2021-07-26 09:58
Bases 6-32 reservations/statuses/primes	gd_barnes	Conjectures 'R Us	1397	2021-07-25 07:07
Bases 101-250 reservations/statuses/primes	gd_barnes	Conjectures 'R Us	905	2021-07-18 16:55
Bases 33-100 reservations/statuses/primes	Siemelink	Conjectures 'R Us	1691	2021-07-06 18:50