45*2^818648-1 is prime. (246440 digits)
-Curtis

52654604145*2^427263-1 (128630 digits)

199*2^581119-1 (174937 digits)

199*2^548533-1 (165128 digits) :shock: so far it is 4-th prime for k=199 and range 500000<n<600000...

199*2^560987-1 (168877 digits) :popcorn:

Wow!!! Awesome. :shock:

Here it finally is...first one...
 

Well, I just started the LLR on my 12 large heavy-weight k's at n = 333335. And wouldn't you know it, within 3 hours and on just the 30th candidate test, I had my first top-5000 prime! (I think this makes up for my barren search of k=289 from n=260K to 500K.) :wink:

After double-checking it, I quickly created a prover account and submitted it on the top-5000 site before (I thought) it might not be big enough! :smile: But a later calculation showed that it will come in at 3797th place as of 4:30PM CDT U.S. not counting any primes waiting to be approved ahead of me. But the funny thing is that when I submitted it, the site gave me a warning that it estimated that my prime would only be on the list for '0 weeks'. I guess all of those n=333333 primes confuse their estimates. After all, it will most likely take 2-4 months to knock off nearly 1200 primes!

Here it is...
102765*2^333354-1 (100355 digits)


Not only did I get lucky once on how fast I found one, I actually got lucky twice. At the last minute before I started, I changed my starting point from n=333400 down to n=333335. I originally had it higher to guarantee that any primes found would be ahead of all n = 333333 primes, some of which have 19-digit k's. But when I realized that most of them are for k < 20G, that those are all for the n=333333 TPS search effort that I wanted to knock off, and that some of my k's were nearly as big, I lowered it.

The first one of something is always the most fun. I promise my future posts here will be short. :smile: :rolleyes:


Gary

[quote=gd_barnes;112844]After all, it will most likely take 2-4 months to knock off nearly 1200 primes!
[/quote]

Less if I help you! If you want we can split some work....for the moment I'm helping my team at eOn project but right now, and if you want, I can easily free up two machines (P4 3.0GHz, AMD64 3000+). I'll wait for your PM.

Carlos

[quote=em99010pepe;112845]Less if I help you! If you want we can split some work....for the moment I'm helping my team at eOn project but right now, and if you want, I can easily free up two machines (P4 3.0GHz, AMD64 3000+). I'll wait for your PM.

Carlos[/quote]

Not a chance! Nice try but these are going to be all mine mine mine! :grin:

More seriously...I'll shortly have 3-4 cores working on the entire range that I sieved. After spending months finding small primes and doing a lot of verification here as well as nearly 4 weeks sieving them all from n=200K to 400K, I'm ready to spit out several big ones! :wink:

But I am involved in a double-checking effort and I'm just now beginning to do some sieving on 6 k's that Kosmaj suggested. If you want to assist in that, see the 'double checking' thread here. I'll do a little LLRing on the ranges that he suggested but they will take a long time and so I'll will post my sieves in that thread when I'm done sieving them. It's not too glamouous but it definitely needs to be done.

Thanks for the offer!


Gary

Are you sure?

(Better move this discussion to another thread)

EDIT:

No double-checking for me, only interested in finding new primes. Thanks anyway.

Gary, congrats on your first prime!!

BTW, you should have included srsieve, which I beleive you used for sieving, in your prover's code. Now it can be done only by contacting prof. Caldwell by mail. But there are many prover's codes without sieving software specified...