R695
 

R695 tested n=100K-200K - Nothing found

Results emailed - Base released

This pattern has got to stop at some point, surely :smile: ...

R534 complete to n=100K.
11*534^80327-1 is Prime.
2k's remain.

Reserving R828 n=50K-100K.

Taking R507 to n=100000.

S800, R800, R888, R900 are all completed to n=250K.
2 primes were previously reported. Residues attached.

[QUOTE=rogue;322251]Taking R507 to n=100000.[/QUOTE]

I thought I better check: Do you mean R507 or possibly S507? R507 has 44 k's remaining at n=25K with no available sieve file, which would be a lot of work. S507 has 4 k's remaining at n=50K with a sieve file.

[QUOTE=gd_barnes;322319]I thought I better check: Do you mean R507 or possibly S507? R507 has 44 k's remaining at n=25K with no available sieve file, which would be a lot of work. S507 has 4 k's remaining at n=50K with a sieve file.[/QUOTE]

R507, the one with more k, because someone tested a single k to n=56000.

Reserving R501, R520, R550, R677, R766, R767, R798, S518, S578, S680, S792, and S942 to n=50K.

R679
 

R679 tested n=100K-200K - Nothing found

Results emailed - Base released

S957
 

Sierp Base = 957
Conjectured k = 19638
Covering Set = 5, 13, 479
Trivial Factors = k == 1 mod 2(2) and k == 238 mod 239(239)

Found Primes: 9571k's - File emailed

Remaining: 200k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 41k's

MOB Eliminations: 6k's - File emailed

Base Released

R501, R520, R550, R677, R766, R767, R798, S518, S578, S680, S792, and S942 are complete to n=50K; 15 primes were found for n=25K-50K; # of k's remaining and primes shown below; all bases are released.

remaining:
[code]
R501: 1 prime; 6 k's remaining
R520: 1 prime; 6 k's remaining
R550: 0 primes; 7 k's remaining
R677: 2 primes; 5 k's remaining
R766: 1 prime; 6 k's remaining
R767: 0 primes; 7 k's remaining
R798: 1 prime; 6 k's remaining
S518: 2 primes; 5 k's remaining
S578: 3 primes; 4 k's remaining
S680: 0 primes; 7 k's remaining
S792: 1 prime; 6 k's remaining
S942: 3 primes; 4 k's remaining
[/code]

primes:
[code]
814*501^36926-1
179*520^26432-1
84*677^36944-1
38*677^40390-1
872*766^33605-1
317*798^37478-1
52*518^28950+1
16*518^41876+1
52*578^39982+1
61*578^40892+1
2*578^44165+1
243*792^38377+1
166*942^25140+1
37*942^25835+1
202*942^28850+1
[/code]

All bases with <= 7 k's remaining are now tested to n>=50K.

Reserving R532, R984, S536, S553, S577, S603, S762, S926, S978, and S994 to n=50K.