k = 17851 reached n = 500k, and the primes and residues were posted in the "Post small primes..." thread. I am releasing this k.

Taking k = 17849 from n = 1 M.

Reserve 1501946985.
Grotex.

k = 1501946985 reached n = 100k, and get primes:
1501946985*2^52613-1
1501946985*2^67832-1
1501946985*2^80577-1
1501946985*2^84024-1
1501946985*2^86544-1
now going to n = 200k

[QUOTE=Grotex;488954]k = 1501946985 reached n = 100k, and get primes:
1501946985*2^52613-1
1501946985*2^67832-1
1501946985*2^80577-1
1501946985*2^84024-1
1501946985*2^86544-1
now going to n = 200k[/QUOTE]

k = 1501946985 reached n = 200k, and get primes:
1501946985*2^107544-1
1501946985*2^142461-1
I release this k

2641908225
 

Reserving 2641908225
Pre-thanks

[QUOTE=Dylan14;472977]Taking k = 17849 from n = 1 M.[/QUOTE]

Update on this search: I have sieved a file up to n = 2M and am testing it.
Has anyone worked on k = 50171 since amphoria released it in 2007 at n = 1.5 M? If not, I'll take it.

For lack of a better place to post my ongoing reservations, I'll dump them here. The mods can move this post if necessary.

I'm reserving:[list][*]All Woodall and near-Woodall k's > 10k with gaps below the (near-)Woodall prime to fill in said gaps:[list][*]197673[*]251749[*]454483[*]582833[*]586085[*]665127[*]667071[*]938237[*]1183953[*]1195203[*]1268979[*]1467763[*]8508301 (to n=4M only)[/list][*]All k's from the RPS 9th and 10th Drives, 15k < k < 35k, n < 400k, not already complete for that n range. All k's from this range that I've filled in for n < 400k are listed in the Prime-Wiki. There are 120 k's to be filled in, which is probably too many to list here.[*]The following low-weight k's, to n=1M unless otherwise noted:[list][*]612509[*]671413[*]685183[*]686711[*]700057[*]963643 (currently at n=1.5M; sieved to n=2M; double-checking and then will continue until a prime is found)[*]10453199 (currently at n=2.5M; sieved to n=3.5M; double-checking and then will continue until a prime is found)[*]10813783 (double-check to n=780k; probably will continue to at least n=1M)[*]1665624349782373 (sieved to n=1.5M; this will find the n for the prime previously claimed to have been found)[/list][*]The following miscellaneous k's:[list][*]89925 (to n=630k; already sieved)[*]242417 (sieved to n=1M)[*]1549573 (to n=300k; already sieved)[*]7828821 (sieved to n=1M)[/list][/list]
All of these reservations, except for the RPS drive k's, are either already up on Prime-Wiki or will be shortly. The RPS drive k's will be posted along with the data from the respective drives at a later date.

I'll also tack on k=14549535 for 125k < n < 300k as a double-check.

Q.: Is there a good generalized way to search for available [I]k's[/I]?

This is what I do. I will use "9999" as an example. I will do an entire forum search for "k=9999." Then I would follow that was just "9999." If there are a lot of hits, I look at each and use my browsers' "Find on this page" feature to search. I check the "Top 5000" web site, and the Wiki Riesel Prime database.

RPS appears to stay below any Nash value < 1000. It is hard to determine what their [I]k[/I] ceiling is at any given time. NPLB, it is difficult to see what they are working on. That area is not updated often.

After all this, if I find nothing concrete, I assume any [I]k[/I] I search for is fair-game. If there are other places to look, I would like to know what they are. Bottom line: I do [U]not[/U] want to step on anyone's toes by running something another person is working on. End of story...

Take any k above 10001 and I am sure 99% you will not in that case step on anyone others theritory
Also you have other base then two and software to make sieve for any home project. In other words, you have near countess combination, choose one