Now I remember what 321search is. It is interesting......But gosh, so many interesting formulas and not enough time. I have my hands full now with the two fully dedicated computer I have. I've looked at 717*2^n - 1(for n up to 30,000) though, and I think it is also quite interesting. When my machings are free, and I don't know when that will be, i might search for a 1M-digit 717*2^n - 1 prime....On the point of finding a composite n^2-2 which is also a base 2 PRP (n odd), though some of us don't think one exits, the proof still elude us. I too would pay a pretty penny for such a number and perhaps two shinny pennies for a proof supporting lack thereof. For you know, Emmanuel's Conjecture (for his name sake), relating to Carol/Kynea numbers, is based a subset of n^2-2..........

Paul Underwood <paulunderwood@...> wrote:

--- In primenumbers@yahoogroups.com, Cletus Emmanuel <cemmanu@y...>

wrote:> Paul give me the site for the 321search ....

We don't have a website per se but have a message board with a

>

primative reservation system at:

http://www.mersenneforum.org/forumdisplay.php?f=14

our bio page is:

http://primes.utm.edu/bios/page.php?id=479

We have been going for a year and have reached 300,000 digits. To get

to 1 million digits would take 30 times as much work. Fortunately,

recently Jean Penne implemented Irational Based Descrete Weighted

Transform ( IBDWT ) for our main client program, LLR, making it 400%

faster. We are ticking over with a few machines and inevitably we

will find more primes... We can do with all the help we can get. Our

current release candiates have been sieved to 21 trillion with

NewPGen. Most of the 1-2 million bit range will be sieved to 35-40

trillion. I hope to sieve higher values of 3*2^n-1 later...

Also those test on n^2-2 were done over several months on a pentium

120 MHz --- just think how this would fly on a Opteron. I was

thinking of offering a modest cash prize to anyone finding a

composite n^2-2 which is base 2 prp ( n odd. )

Paul

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