20040520, 00:26  #111 
Dec 2003
Hopefully Near M48
2×3×293 Posts 
21169397 0x746B874910048A__ curtisc grn1611
22776563 0xCF3C3B04BD5A10__ curtisc wde3100028 24036583 0x7EC80125B6DB7E__ jfindley M3 23393483 0xD9BFF123AAE613__ mesirow DellH Those are the four candidates. 
20040520, 00:49  #112  
Sep 2003
Borg HQ, Delta Quadrant
2×3^{3}×13 Posts 
Quote:


20040520, 03:57  #113  
Mar 2004
3·11 Posts 
Quote:


20040520, 04:58  #114 
2^{2}·7·181 Posts 
Tree of knowledge
I have cross referenced my general Mersenne estimations and found that:
2^233934831 Should be Prime! This is my nonencrypted guess, based upon the prescreened candidates given by Y'all. 
20040520, 05:29  #115 
Dec 2003
Hopefully Near M48
2·3·293 Posts 
How's the factoring going?

20040520, 12:16  #116 
"Mike"
Aug 2002
2^{4}·499 Posts 
9,000,000...

20040520, 12:57  #117  
Dec 2003
E_{16} Posts 
Quote:


20040520, 13:04  #118 
Dec 2003
Hopefully Near M48
2×3×293 Posts 
I estimate that his average per iteration time is about 0.046s, judging by his posts.
In fact, that's about the same per iteration time as my computer when I close down everything and its working on a 20.3M exponent. And I'm using a P4 too! Last fiddled with by jinydu on 20040520 at 13:08 
20040520, 14:41  #119 
P90 years forever!
Aug 2002
Yeehaw, FL
1110010111111_{2} Posts 
Jeff is leading the race in the official differenthardware differentsoftware test. He matches xyzzy at 3,000,000 iterations.

20040520, 15:20  #120 
May 2004
2^{2}×7 Posts 
You are right!
Oh, sure. You are absolutely right. In fact, I know that all divisors of 2^N1 are of the form 2kN+1 for an integer k  I forgot the sign, but only one sign is correct... This makes it clear that these numbers are not only odd, but they are not multiple of any small prime.
This makes the numbers 2^N1 seemingly much more frequent, and I wonder why the original conjecture works so well... Well, let me admit that I believe that the statement with the sqrt(2) limit might still be correct, and therefore what you say  even though it is true  is compensated by something else, so that it is still legitimate to use this statistical reasoning. OK, let me withdraw the word "theorem". ;) do you have a different specific idea whether the limit exists, and what it is? Lubos Motl  I had to change my username because LumĂdek can't be logged in (probably a bug with the 8bit characters). 
20040520, 17:22  #121 
"Phil"
Sep 2002
Tracktown, U.S.A.
45E_{16} Posts 
No factor found on M21169397:
[Thu May 20 09:42:36 2004] M21169397 completed P1, B1=525000, B2=8400000, WZ1: 234E1D80 Does anyone have an estimate of the chances of finding a factor if I increase B2 again? I suspect it is pretty small, but would be curious to find out. 
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