5 is an odd prime.  2^5 = 32 and minus one, is 31.  31 is not divisible by 3.
 

At 07:50 PM 10/26/99 +0200, you wrote:
>Hello all,
>
>a simple Number Theory question. Is always
>
>(2^p-1) / p ,odd prime p, divisible by 3 ?
>
>Then 2^p == 1 (mod 3p) would also hold, can this be used to improve the
>efficiency of a Rabin-Miller probable prime test?
>
>Ciao,
>  Alex.
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