Newsgroups: sci.math
From: hoey@ai.etl.army.mil (Dan Hoey)
Date: 3 Apr 89 17:51:25 GMT
Subject: Re: Interesting numbers

stei...@bgsuvax.UUCP (Ray Steiner) writes:

>In article 6043 some interesting properties of 1729 were discussed.
>...It turns out that 1729 is the second smallest absolute pseudoprime
>number(the smallest being 561). Proof may be found on p.217 of
>Sierpinski's book ELEMENTARY THEORY OF NUMBERS.

Pseudoprime numbers are also called Carmichael numbers.  They were
discussed on the sci.crypt list in February.  Two respondents
published lists of Carmichael numbers, giving the first three as 561,
1105, and 1729.  I have checked these three numbers, and they are
indeed Carmichael numbers.  What does Sierpinski's book prove?

Dan