All remaining 12, 13, & 14kers bases are complete to n=25K and released as follows:

R536; 4 primes found for n=5K-25K; 10 k's remaining
R558; 1 prime found for n=5K-25K; 13 k's remaining
R770; 3 primes found for n=5K-25K; 9 k's remaining
R802; 2 primes found for n=5K-25K; 10 k's remaining
S553; 5 primes found for n=5K-25K; 8 k's remaining
S904; 3 primes found for n=5K-25K; 10 k's remaining
S950; 8 primes found for n=5K-25K; 6 k's remaining
S994; 6 primes found for n=5K-25K; 8 k's remaining

All bases with < 15 k's remaining at n=5K are now complete to n=25K.

R625 has finally been added to the pages. This is one that Serge completed to n=15K a month ago that needed detailed research on related R5 and R25 primes and test limits. I found 3 such primes; 1 of which was the huge k=158750 prime for base 5 that was found a little over a month ago. It knocked out the same k for base 25 and k=6350 for base 625.

There are 103 k's remaining, which includes 6 k's that are reserved and being searched by base 5 and 6 k's that are the same as base 25 but are not currently reserved.

Sierp 520
 

Sierp 520, a 2ker, tested n=25K-100K. Nothing found

Base released - Results emailed

Reservations
 

Reserving the following 2ker's to n=100K

R617 R634 R635 R680 R694
S567 S579 S593 S620 S638

Sierp 533
 

Sierp 533, a 2ker, tested n=25K-100K. Nothing found

Base released - Results emailed

Riesel 615
 

Riesel 615, a 2ker, tested n=25K-100K. Nothing found

Base released - Results emailed

Riesel 583
 

Riesel Base 583
Conjectured k = 2846
Covering Set = 5, 7, 13, 31, 73
Trivial Factors k == 1 mod 2(2) and 1 mod 3(3) and k == 1 mod 97(97)

Found Primes: 921k's - File emailed

Remaining: 16k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 484k's

MOB Eliminations: 1k - File emailed
1166

Base Released

Sierp 542
 

Sierp 542, a 2ker, tested n=25K-100K. Nothing found

Base released - Results emailed

Sierp 628
 

Sierp Base 628
Conjectured k = 1072
Covering Set = 17, 37
Trivial Factors k == 2 mod 3(3) and k == 10 mod 11(11) and k == 18 mod 19(19)

Found Primes: 603k's - File emailed

Remaining: 10k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 456k's

GFN: 1k - File emailed
628

Base Released

Riesel base 1019
 

Releasing the remaining k=2 at n=150k.

Sieve file for n=150k-200k (p=3T) with ~1900 pairs left available.

Sierp 823
 

Sierp Base 823
Conjectured k = 9166
Covering Set = 7, 13, 43, 103
Trivial Factors k == 1 mod 2(2) and k == 2 mod 3(3) and k == 136 mod 137(137)

Found Primes: 2934k's - File emailed

Remaining: 96k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 1550k's

MOB Eliminations: 2k's - File emailed
3292
4938

Base Released