I've done some small-conjecture testing on some bases that had 1 or 2 k's remaining at n=5K the last 2-3 days. Here is what was done:

R533 with CK=88 has only k=74 remaining; highest prime 56*533^898-1
S528 with CK=116 is proven; highest prime 64*528^10186+1
S550 with CK=115 has only k=94 remaining; highest prime 75*550^5841+1
S701 with CK=92 has only k=52 remaining; highest prime 12*701^969+1

Note the mostly extremely small highest primes. Only 2 primes were found for all 6 bases for n=5K-25K including 2 bases in the 251-500 thread. That's 2 primes found in that range for the last 10 bases that I have tested. :-( Oh well, a lot more 1kers for Ian! :-)

All have been tested to n=25K or until proven and are released.

[B]New reservations:[/B]
[B]R530 & S552 to n=25K.[/B]

S552 with CK=78 is proven; highest prime 26*552^22956+1

R805 with CK=92 is proven; highest prime 90*805^2212-1

After finding only a total of two n=5K-25K primes in 10 bases with this small effort that I've been working on, S552 had 2 primes n>5K itself for the proof.

On R805, I was surprised that there were any bases left with CK<100 that could be proven by n=2500. I can now say that there are none left that can be proven by n=1K. Some of them I'm taking to n=5K and will reserve if they have <= 2 k's remaining at that point.

I'm clearing out a little bit of fluff and evening up the sides a little before going out of town next week.

[QUOTE=gd_barnes;221530]
On R805, I was surprised that there were any bases left with CK<100 that could be proven by n=2500. I can now say that there are none left that can be proven by n=1K. Some of them I'm taking to n=5K and will reserve if they have <= 2 k's remaining at that point.[/QUOTE]

When I knocked out a bunch a few weeks ago I had only gone to n=2000. I just missed this one (and a couple of others with lower conjectured k).

Sierp 582
 

Sierp 582, the last k, tested n=25K-100K. Nothing found.

Results emailed. Base released

Reserving more 1k's to n=100K:

S635, S643, S650, S677, S679

Reserving S619, S622, S669, and R875 to n=25K.

All have either 1 or 2 k's remaining at n=5K so I'll probably have more 1kers to add later on. :smile:

This will officially finish testing all CK<100 bases that have either 1 or 2 k's remaining at n=1K. There are quite a few that have 3 remaining at n=1K that could easily drop to 1 or 2 remaining by n=5K or even be lucky enough to be proven. But this effort just takes too much admin effort so I won't be testing many of those and may not test any at all.

Reserving S510, R510 and R505 to n=25K.

R851, S937, and S967 are proven.

Sierp 605
 

Sierp 605, the last k, tested n=50K-100K. Nothing found.

Results emailed. Base released

S589, S709, and S916 are proven.
(Of these S589 was interesting.) :rolleyes:

S526 is proven.
R510, S510 and R505 are done to 25K and released.
R416 is done to 34K and released.

Sierp 626
 

Sierp 626, the last k, tested n=50K-100K. Nothing found.

Results emailed. Base released