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Re: Perfect Number
Posted By: Wes, on host 204.215.204.68
Date: Thursday, September 20, 2001, at 14:50:09
In Reply To: Re: Perfect Number posted by Matthew on Monday, September 3, 2001, at 04:16:12:

> Any perfect number is of the form
>
> (2^(p-1))(2^p - 1)
>
> if 2^p - 1 is a prime. So any Mersenne prime, e.g.
>
> 2^3021377 - 1,
>
> will give a perfect number
>
> 2^3021376(2^3021377 - 1).

Yeah. That gives you what is currently the second largest perfect number, which we also calculated. The largest is (2^6972592)*(2^6972593-1). You can get the biggest at http://sipos.yi.org/perfect.txt and the second biggest at http://sipos.yi.org/perfect-2.txt , if you so desire. We printed the biggest one out, and it took 956 pages. The stack of paper is about 6 inches tall. I carry it around and girls come up to me. Then they ask me what it is, and I tell them, and they say "Wow, you're hot."

Wes - "Gets em every time."