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Re: A quick discussion of Mersenne Numbers
On Mon, 2 Dec 1996, The Deviant wrote:
> On Mon, 2 Dec 1996, Paul Foley wrote:
>
> > On Sun, 1 Dec 1996 14:10:13 -0500, [email protected] wrote:
> >
> > A mercenne number is of the type:
> >
> > M(p) = 2**p -1 results in a prime when p is a prime.
> >
> > *Occasionally* results in a prime when p is prime. (A Mersenne number
> > is any number of that form, prime or composite. It so happens that if
> > M(p) is prime, p is prime)
> >
> > Hopefully this will lead the way to see the pattern of prime
> > numbers and being able to compute prime numbers in a far more
> > efficient manner (after all a function that when given a prime
> > number results in a prime number would be quite a kicker now
> > wouldn't it!)
> >
> > That's easy: f(x) = x
> >
> > The other Mersenne primes include:
> >
> > 2,3,5,7,13,17,19,31,127,61,89, and 107.
> >
> > 2, 5, 13, 17, 19, 61, 89 and 107 are not Mersenne numbers :-|
> >
> > The first few Mersenne primes are:
> > 3, 7, 31, 127, 8191, 131071, 524287, 2147483647
>
> True.. but 1 is. 2^1-1=1
1 isn't prime. It also isn't composite. Same for zero.
Mark
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