[QUOTE=firejuggler;318664]Currently tentatively started base R955....
wich file correspond to what?
pl_mob?
pl_remain ( I suppose its the k where no factor were found)
pl_trivial ( I suppose the list of prime found whith a low n?)
currently at k=19764[/QUOTE]

pl_mob are for k that are multiples of b.
pl_remain are k that have no primes for n <= the limit specified in the script
pl_trivial are k for with k*b^n+1 are trivially prime.

[QUOTE=rogue;318665]pl_mob are for k that are multiples of b.
pl_remain are k that have no primes for n <= the limit specified in the script
pl_trivial are k for with k*b^n+1 are trivially prime.[/QUOTE]

Correction and clarification on the last one:

pl_trivial are k with a single trivial prime factor for all n. There are no primes and they are not included in the conjecture.

All that I need for tests n<=25K are the pl_prime and pl_remain files.

Good luck. This base will take a very long time.

R576
 

Reserving R576 as new to n=25K

S998
 

Reserving S998 to 200K

Just getting this base off 188K and to a normal level.

The ten 5k bases that are only searched to n=25K are among the lowest "difficulty" bases right now. I'll search them all to n=50K:

Reserving R589, R590, R602, R633, R667, R686, R716, R720, S504, and S678 to n=50K.

Serge has completed S720 to n=175K; no primes were found for n=100K-175K; the base is released.

S781
 

S781 tested 100K-200K - nothing found

Results emailed - Base released

S598 & S957
 

S598 & S957 reserved as new to n=25K

I'm nearly done with the recent 5k bases reservation. Now the nine 6k bases that are only searched to n=25K are among the lowest "difficulty" bases. Combined with my bases 251-500 reservation, I'll search them all to n=50K:

Reserving R778, S558, S564, S602, and S654 to n=50K.

R955,
n upto 2500, k upto 50k, 433 k left. see attached file for primes and remaining bases

R589, R590, R602, R633, R667, R686, R716, R720, S504, and S678 are complete to n=50K; 9 primes were found for n=25K-50K; # of k's remaining and primes shown below; all bases are released except R667.

remaining:
R589: 0 primes; 5 k's remaining
R590: 1 prime; 4 k's remaining
R602: 2 primes; 3 k's remaining
R633: 0 primes; 5 k's remaining
R667: 3 primes; 2 k's remaining
R686: 1 prime; 4 k's remaining
R716: 0 primes; 5 k's remaining
R720: 0 primes; 5 k's remaining
S504: 0 primes; 5 k's remaining
S678: 2 primes; 3 k's remaining

primes:
38*590^43480-1
12*602^36517-1
67*602^41049-1
458*667^25155-1
632*667^28650-1
258*667^37866-1
104*686^29844-1
188*678^25679+1
122*678^45968+1

All bases with <= 5 k's remaining are now tested to n>=50K.

Extending reservation on R667 to n=100K.

I'm now working on all of the 6kers that are at n=25K.