> -----Original Message-----
> From: Vincent J. Mooney Jr. [mailto:[EMAIL PROTECTED]]
> Sent: Tuesday, October 26, 1999 2:05 PM
> To: [EMAIL PROTECTED]
> Subject: Re: Mersenne: (2^p-1)/p == 0 (mod 3) ?
> 
> 
> 5 is an odd prime.  2^5 = 32 and minus one, is 31.  31 is not 
> divisible by 3.
>  

Umm... 31 == 1 (mod 3) which holds to 2^p == 1 (mod 3p) below...

> 
> 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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