Reserving R991 to n=25K.

R687
 

Riesel Base 687
Conjectured k = 4686
Covering Set = 5, 43, 109
Trivial Factors k == 1 mod 2(2) and k== 1 mod 7(7)

Found Primes: 1978k's - File emailed

Remaining: 27k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 335k's

MOB Eliminations: 2k's - File emailed

Base Released

Taking S588, which has 1 k remaining

Taking S802, also with 1 k remaining.

S682
 

Sierp Base 682
Conjectured k = 6831
Covering Set = 5, 61, 683
Trivial Factors k == 2 mod 3(3) and k == 226 mod 227(227)

Found Primes: 4463k's - File emailed

Remaining: 64k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 2297k's

MOB Eliminations: 4k's - File emailed

GFN: 1k - File emailed
682

Base Released

Taking R636 with 1 k remaining.

S655
 

Sierp Base 655
Conjectured k = 6930
Covering Set = 13, 29, 41
Trivial Factors k == 1 mod 2(2) and k == 2 mod 3(3) and k == 108 mod 109(109)

Found Primes: 2242k's - File emailed

Remaining: 46k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 1176k's

Base Released

I would like to reserve R746 to n=50K

S502
 

Sierp Base 502
Conjectured k = 8832
Covering Set = 5, 7, 13, 61, 73
Trivial Factors k == 2 mod 3(3) and k == 166 mod 167(167)

Found Primes: 5712k's - File emailed

Remaining: 130k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 2979k's

MOB Eliminations: 8k's - File emailed

GFN: 1k - File emailed
502

Base Released

S897
 

Sierp Base 897
Conjectured k = 7634
Covering Set = 5, 17, 449
Trivial Factors k == 1 mod 2(2) and k == 6 mod 7(7)

Found Primes: 3242ks - File emailed

Remaining: 27k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 545k's

MOB Eliminations: 2k's - File emailed

Base Released

S795
 

Sierp Base 795
Conjectured k = 6566
Covering Set = 19, 29, 199
Trivial Factors k == 1 mod 2(2) and k == 396 mod 397(397)

Found Primes: 3233k's - File emailed

Remaining: 39k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 8k's

MOB Eliminations: 2k's - File emailed

Base Released

Reservations
 

Reserving R711 & R795 as new to n=25K