Re: Prime numbers



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
e-mail (<80k only): tim /at/ birdsnest.maths.tcd.ie
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s-mail: School of Mathematics, Trinity College, Dublin 2, Ireland
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