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From: gmf@uvacs.UUCP
Newsgroups: net.math
Subject: Perfect Numbers
Message-ID: <1296@uvacs.UUCP>
Date: Thu, 10-May-84 12:39:15 EDT
Article-I.D.: uvacs.1296
Posted: Thu May 10 12:39:15 1984
Date-Received: Sat, 12-May-84 12:55:01 EDT
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>> Does anyone on the net have easy access to a list of the numbers?
   [i.e., Mersenne primes, which give perfect numbers]

According to  * Factorizations of b^n+-1 *, vol. 22 of the series
* Contemporary Mathematics * of the American Mathematical Society,
1983, p. lix, the Mersenne primes known at the moment are given by the
exponents:

2,3,5,7,13,17,19,31,61,89,107,127,521,607,1279,2203,2281,3217,4253,
4423,9689,9941,11213,19937,21701,23209,44497 and no others < 50000,
also 86243.

According to my calculations, this gives for the sequence of terminal
digits of the first several even perfect numbers:

6,8,6,8 6,6,8,8 6,6,8,8 6,8,8,8 6,6,6,8 6,6,6,6 6,6,6

This extends the list given by Brader with the 3 digits 6,6,6, but
seems to offend the pattern.

     Gordon Fisher