20050827, 04:28  #34 
Nov 2004
California
1704_{10} Posts 
For Sohpie Germain (where p and 2p+1 are both prime), the k*2^n1 form
is nice. Multiply out 2p+1 and you get k*2^(n+1)1. So if a (k n) pair is prime, you only have to check (k n+1)...which will be checked in this kind of search anyhow. Larry 
20050829, 15:28  #35 
Mar 2004
Belgium
3^{3}×31 Posts 
330to333.txt
333to336.txt No primes found. 
20050829, 17:24  #36 
Jun 2004
2·53 Posts 
288to291.txt completed
1 prime found! => 355424355*2^2906701 is prime! This prime has been reported to the database taking 363to366.txt 
20050831, 12:13  #37 
Nov 2004
California
2^{3}×3×71 Posts 
Taking 366369

20050903, 04:06  #38 
Nov 2003
111000100110_{2} Posts 
360363 complete, no primes.
Taking 369372. New files for n>375k will be available soon. 
20050905, 14:37  #40  
May 2003
231_{10} Posts 
Quote:
Good luck to you all  I do look forward to seeing your densest candidates yielding more primes, as those who are familiar with my past prime number projects will attest. Phil 

20050907, 03:16  #41 
Nov 2003
2×1,811 Posts 
Taking also 372375.
Phil Thanks for your visit! We wish you good luck too! Soon, our small primes on the list will begin dropping out and then I'm afraid we won't be able to keep pace with you. But we'll try to catch up a few months later when your small primes begin dropping... Kosmaj (a retired drag racer) 
20050907, 10:13  #42 
24E1_{16} Posts 
2nd place
Looks like we need some more members...
I'll see what I can do about that. 
20050907, 12:17  #43 
Nov 2004
California
6A8_{16} Posts 
First place again
We're first again with a lead of 2 primes.....for now.

20050907, 13:21  #44  
May 2003
3×7×11 Posts 
Quote:
I don't know how closely you (collectively) have been checking your smallies, but even though you've only got a few thousand digits of margin for many of your primes, you've actually got quite a bit of shortterm security. There are several huge bands of similarly sized (proth/riesel) primes that are a very useful buffer for you. So the sharp drop will be quite a while away. However, that drop will not compare in magnitude with the absolute annihilation that will hit PIES a year or so later. I have deliberately aimed my new subprojects, using a new DWT algorithm, at exclusively >100000digit primes (the algorithm could flood the 60100kdigit zone too, but there are so many testable candidates I thought I should be more selective), which means that, but the time we're finished, probably half of the primes in the 100103kdigit range will be PIES. That will _hurt_ as they drop off. The linear (by size, exponential by number) growth of the 15k+1 candidates saves you from such harsh drops. We'll no doubt zoom (downwards) past each other several times in the future, and then have to fight our way back up again! Amusingly, when a current _long_ overdue miniproject (should have taken 2 months, now taken over 4 months on a single machine) finally drops a prime, I may well grab a 15k range and join you for a quick spell! Until then, I shall enjoy the little dance we're having (you're 3 ahead again, I see, thanks to Larry's recent submissions). Phil 

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