S488 was doublechecked for n=25K-100K; no problems were found.

Taking R308 and R370 to n=100K.

Taking R380 and R394 to n=100K.

R488 is complete to n=50K; 1 prime was found for n=25K-50K shown below; 14 k's remain; base released.

prime:
7*488^33163-1

R431
 

Riesel Base = 431
Conjectured k = 15380
Covering Set = 3, 7, 67, 379
Trivial Factors = k == 1 mod 2 (2) and k == 1 mod 7 (7) and k == 1 mod 43 (43)

Found Primes: 5678k's - File emailed

Remaining: 321k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 1681k's

MOB Eliminations: 9k's - File emailed

Base Released

S365 S373 S472
 

Reserving the following 2kers to n=200K

S365 S373 S472

Reserving R410 to n=100K.

Reserving R422 and R452 to n=100K.

R422 and R452 are complete to n=100K; no primes were found for n=50K-100K; 5 & 4 k's respectively still remain; the bases are released.

R281, R308, R327, R370, R380, R394, R410 are complete to n=100K.
Primes:
170*281^50358-1
308*327^52903-1
346*327^55078-1
59*308^63148-1
237*370^65280-1
89*394^87976-1
52*308^95851-1

R256
 

Using the PrimeGrid sieve files I have pulled together the remaining n to be tested for k's 659, 807, 1808, 3480, 5768, 7088, 7968, and 10154 up to n=4000000. There are just over 71000 tests in this file. This is intended to save users from having to sieve on their own. Hopefully I did this one correctly.