[QUOTE=Kosmaj]Welcome to RPS!

But to reserve k=19 for you I need more information. Can you kindly introduce yourself, with references related to prime search and/or distributed computing. k=19 from n=517700 is not an easy task for beginners. How about trying first a file or two from the [URL="http://www.mersenneforum.org/showthread.php?t=4918"]First RPS Drive[/URL] to "calibrate" your hardware, no questions asked.

Thanks,
Kosmaj[/QUOTE]
Hi! My real name is Michael Kwok, and I'm the discoverer of 5 top 5000 primes. Two are currrently on the list (19881021*2^252579-1 and 19881021*2^269079-1). I have a 3.4 Ghz computer (Pentium 4), which is usually on 24 hours a day.

All right then, k=19 is yours!

It has been checked to n=517700 so you can proceed from there. I suggest you sieve at least to n=1M. Please keep us informed about your progress from time to time, and happy hunting!

status update
 

This is a status update on several k.

The first list are double-checks for some of the ranges which have never been reported to Wilfrid Keller (all expected primes were found):
[CODE] k range of n primes
------------------------------------------------
35 [120000-200000] --
43 [120000-200000] --
47 [120000-200000] --
55 [120000-200000] --
57 [120000-200000] 162538, 173585
59 [120000-200000] 134240, 145532
61 [120000-200000] --
67 [100000-200000] --
191 [100000-270000] 240802
------------------------------------------------
[/CODE]

The following k have been tested to n=500000 and I'm releasing all but k=155. The latter will be continued (currently sieving for n=0.5-1M).
[CODE] k range of n primes
------------------------------------------------
141 [210000-500000] 250271
151 [210000-500000] 241271, 263895
155 [250000-500000] 296822, 310312, 310622, 353384, 374288, 496604
157 [250000-500000] 473073
161 [250000-500000] 371426, 394974, 447330
163 [210000-500000] 341611
191 [270000-500000] --
------------------------------------------------
[/CODE]

Edit: I'm still double-checking k=141 for n=100000-200000 missing on Wilfrid Keller's list...

I've been also working on filling the gap n=120-200k of the same 8 k's
35 =< k <= 67
and have reached n=138250. I'll stop it now.

It will be nice if we better coordinate such efforts in the future. Currently I'm working on no other gaps, but I processed k=277 from n=100k filling all gaps and double checking all exponents to n=230k.

Cancelling reservations by Chaos, k=81 and k=127, both are available for tests:
k=81 from n=220k, medium wieight,
k=127 from n=230k, low weight.

I'm reserving k=177 from n=210k.

Releasing 135. (Tested to 300,000. No more primes.)
Taking 81 please.

Releasing 223. Tested up to n=1M

81*2^240743-1 is prime.

I'll take k=127 to n=1M. Low weight makes me happy. I'm recruiting some high-school kids into the project, offering extra credit for finding a top-5000 prime.
-Curtis

81*253385^2-1 is prime.

81*2^308325-1 is prime.

Just noticed my silliness above!

To summarize:
81 240743
81 253385
81 308325
need to be added to list of primes found.