As a general rule, bases of the form 2^q-1 are more prime than usual and have a very high conjecture so I thought it might be interesting to pick out the lowest conjectured such base, test it to n=2500, and recommend it. Therefore I have added R1023 with CK=68394 and 724 k's remaining at n=2500 to the recommended list. As usual the k's remaining are in the file attached to the first post.

I have added new bases R145 and R171 tested to n=2500 and recommended to n=25K to the list. Completion of these would put all bases < 190 with a CK < 1M at n=25K. They are not nearly as difficult as many of the bases already recommended. R171 has the fewest k's remaining on the new base list and R145 has a smaller conjecture than S145, which has already been tested to n=25K.

As usual, the k's remaining at n=2500 are attached to the first post.

I also removed S241 from the list. With 4000+ k's remaining at n=2500, it's way too difficult and doesn't accomplish any range completion. It still has a sieve file on the reservations page.

hi! I have one Idle core. do you think S316 will take less than one week? or should I try R383?

[QUOTE=firejuggler;319445]hi! I have one Idle core. do you think S316 will take less than one week? or should I try R383?[/QUOTE]

No. S316 would take several CPU months. R383 has 9 k's remaining at n=25K. It would take several CPU weeks to test it to n=50K.

Let me give an example: I have been working on testing many bases with 5 k's remaining from n=25K to 50K. Running 40+ cores, it takes ~7-8 hours for each base...not including sieving. That means ~300 CPU hours for each base or just a little under 2 CPU weeks. Some of my CPU's are a little slow. Including sieving and testing on R383 with almost twice as many k's on a very modern machine is still likely to take you ~3 weeks assuming that you find the expected number of primes...about 2.

[QUOTE=gd_barnes;319450]No. S316 would take several CPU months. R383 has 9 k's remaining at n=25K. It would take several CPU weeks to test it to n=50K.[/QUOTE]

I stand corrected. I see that R383 is the lowest difficulty Riesel base and so its k's are likely half the average weight of the average base. You could likely do it in 1-1/2 to 2 weeks on one core. Don't quote me on that. That's a rough extrapolation based on my experience with average-weight bases with 5 k's remaining.

I've added S283 to the list for n=10K-25K. It is the only unreserved base at n>=10K that has not been searched to n>=25K.

if nobody take it before I end my current reservation (S488, @ 93000=>100000, 2 k removed for now, a third is unlikely, 7 k left) i'll take it

[QUOTE=firejuggler;325864]if nobody take it before I end my current reservation (S488, @ 93000=>100000, 2 k removed for now, a third is unlikely, 7 k left) i'll take it[/QUOTE]

I'll mark it down for you.

C10ck3r searched R331 to n=20K and released so I have left it recommended for n=20K-25K.

I have added 8 new recommended bases in the 1st post with conjected k's of 10000-20000 tested to n=2500 and sieved for n=2500-25K by Ian. Links to k's remaining are in the 1st post and links to sieve files are on the reservations pages.

Added S642 recommended for n=10K-25K searched to n=10K by firejuggler.