Re: Prime numbers
- From: Timothy Murphy <tim@xxxxxxxxxxxxxxxxxxxxxx>
- Date: Tue, 20 Dec 2005 14:12:50 +0000
M.A.Fajjal wrote:
> Let z = (p^x - p)/x
>
> where p is a prime number
>
> Can anyone prove that z is integer if and only if x is a prime number
I don't think so.
A Carmichael number x would have this property for _all_ primes p.
But I'm sure there are much simpler counter-examples.
--
Timothy Murphy
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s-mail: School of Mathematics, Trinity College, Dublin 2, Ireland
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