Another lot. Last for at least a couple days.
S258, CK=36, Base proven.
S264, CK=54, Two ks remaining.
S266, CK=88, One k remaining.
Primes attached.
Bases tested to 25k and released.

An easy one:
S362, CK=10, proven.
Just one base, so here are the primes:
2*362^15+1
3*362^1+1
4*362^30+1
5*362^1+1
6*362^9+1
7*362^6+1
8*362^1+1
9*362^1+1

Great to see the Sierp side getting worked on now. It definitely needed some work.

Sierp Base 463
 

Sierp Base 463
Conjectured k = 1188
Covering Set = 5, 13, 29
Trivial Factors k == 1 mod 2(2) and k == 2 mod 3(3) and k == 6 mod 7(7) and k == 10 mod 11(11)

Found Primes: 302k's - File attached

Remaining: 5k's - Tested to n=25K
30*463^n+1
178*463^n+1
436*463^n+1
616*463^n+1
1072*463^n+1

Trivial Factor Eliminations: 286k's

Base Released

Riesel base 475
 

Primes found:

[code]
2*475^2-1
6*475^42-1
8*475^19-1
12*475^2-1
14*475^3-1
18*475^65-1
20*475^2-1
24*475^1-1
26*475^2-1
30*475^1-1
32*475^1-1
36*475^1-1
38*475^1-1
42*475^1-1
44*475^1-1
48*475^2-1
[/code]

With a conjectured k of 50, this conjecture is proven.

Sierp Bases
 

The following Sierp Bases were submitted to me by Mark (Rogue) as proven. He sent me the found primes for all. They will be removed from the untested thread.

k*302^n+1 (conjectured k of 16)
k*321^n+1 (conjectured k of 22)
k*324^n+1 (conjectured k of 14)
k*339^n+1 (conjectured k of 16)
k*347^n+1 (conjectured k of 28)
k*371^n+1 (conjectured k of 32)
k*407^n+1 (conjectured k of 16)
k*413^n+1 (conjectured k of 22)
k*424^n+1 (conjectured k of 16)
k*439^n+1 (conjectured k of 34)
k*455^n+1 (conjectured k of 20)
k*459^n+1 (conjectured k of 24)
k*474^n+1 (conjectured k of 39)

[quote=MyDogBuster;214685]...by Mark (Roque)...[/quote]
It's "rogue" with a G, not "Roque" with a Q. :smile:

[QUOTE]It's "rogue" with a G, not "Roque" with a Q. :smile:[/QUOTE]

Oops my bad. :blush: Too early to be doing typing.

Sierp Base 338
 

Sierp Base 338
Conjectured k = 112
Covering Set = 3, 113
Trivial Factors k == 336 mod 337(337)

Found Primes: 97k's - File attached

Remaining k's: 13k's - File attached - Tested to n=25K

Base Released

k = 1 is a GFN with no known prime

Sierp 395
 

Testing out the new-bases script (having never attempted a base from scratch before.)
Reserving Sierp 395 with conjectured k=10 to n=25K.

R328 is done to n=150K. One prime. Base released.