Thank you, John.

Allen
----- Original Message ----- 
From: "John R Pierce" <[EMAIL PROTECTED]>
To: "The Great Internet Mersenne Prime Search list" <[email protected]>
Sent: Saturday, July 30, 2005 1:30 PM
Subject: Re: [Prime] Probably


> Allen Ayers wrote:
> > I have only one modern machine, and it runs eight (8) hours a day.
>
> statistics is not my forte, but let me take a stab at it...
>
> First, see the table here, http://mersenne.org/status.htm
>
> currently, automatic assignments are in the 27,000,000 - 29,999,000 range
> seemingly.  Per that table, there's 63,182 untested/unknown M' candidates,
and
> the odds of one of those being a prime is 0.26, so the odds of any one of
those
> candidates being a prime is 1:243007 ...
>
> your machine is running 8 hours/day, I'm going to assume thats 40
hrs/week...
> if its a 3.8Ghz P4 like the one I just benchmarked, it will take it about
330
> hours to crunch one candidate.  at 40/week, thats 8.4 weeks, or 6.2
> candidates/year.  So, the odds of you finding a prime in the next year
with a
> single 3.8Ghz P4 running 8 hr/day, 5 day/week are about 1:39200.
>
> If you leave that machine on 24/7 and disable hibernate/standby so its
always
> running full speed, those odds change to about 1:9700
>
> of course, thats odds.  you could find one next week.     or not.
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