Riesel base 275, k=22.
Primes attached.

Remaining k's:
4*275^n-1
16*275^n-1

Base completed to 25K and released.

Riesel 390
 

Riesel Base 390
Conjectured k = 137
Covering Set = 17, 23
Trivial Factors k == 1 mod 389(389)

Found Primes: 134k's - File attached

k=16 proven composite by partial algebric factors

Conjecture Proven

Riesel base 290, k=98.
Primes attached.

Remaining k's:
19*290^n-1
64*290^n-1
71*290^n-1
81*290^n-1

Base completed to 25K and released.

Riesel 469
 

Riesel Base 469
Conjectured k = 516
Covering Set = 5, 47
Trivial Factors k == 1 mod 2(2) and k == 1 mod 3(3) and k == 1 mod 13(13)

Found Primes: 154k's - File attached

Remaining k's: Tested to n=25K
336*469^n-1
422*469^n-1
474*469^n-1

k=324 proven composite by partial algebraic factors

Trivial Factor Eliminations: 99k's

Base Released

This concludes the factor 5's with b= 4 mod 5 with 4 exceptions.

R124 CK = 3,730,449
R399 CK = 1,558,133,564
R624 CK = 569,819
R799 CK = 1,885,767,686,976

If anyone has 25 or 30 years to spare, R799 might be fun. :no:

Sierp 463
 

Reserving Sierp 463 as new to n=25K

Sierp base 263 taken to n=25K and released.
The conjectured k is 10 (covering set {3, 11}).
Just one k left with no primes:
8*263^n+1

The primes are:
2*263^957+1
4*263^50+1
6*263^1+1

Edit: k weight = 366 (a toughie)

Serp base 260, ck=28
Base proven.
Primes attached

Sierp 328
 

Extended Sierpinski 328 from n=25K to 50K, k=27 remains.
Residues attached, base released.

Now the rules are changed I can post these.
S274, CK=21, Base proven.
S285, CK=12, Base proven.
S296, CK=10, Base proven.
Primes attached.
If you need anything else I can post it later.

[quote=henryzz;214511]Now the rules are changed I can post these.
S274, CK=21, Base proven.
S285, CK=12, Base proven.
S296, CK=10, Base proven.
Primes attached.
If you need anything else I can post it later.[/quote]

Thanks David. Looks good. If you want, you don't have to include the trivial k's and GFN's. We don't really need them.

...glad to let Ian take these now. :smile:

[QUOTE]..glad to let Ian take these now. :smile:[/QUOTE]

Great job David. Just what we need to see. :tu: