Re: Goldbach's Conjecture - a question about prime sums of oddnumbers...

[Petro <petro@playboy.com>]

At 12:22 AM -0500 11/19/98, Jim Choate wrote:
>Hi,
>
>I have a question related to Goldbach's Conjecture:
>
>All even numbers greater than two can be represented as the sum of primes.
>
>Is there any work on whether odd numbers can always be represented as the
>sum of primes? This of course implies that the number of prime members
>must be odd and must exclude 1 (unless you can have more than a single
>instance of a given prime). Has this been examined?
>
>I'm assuming, since I can't find it explicitly stated anywhere, that
>Goldbachs Conjecture allows those prime factors to occur in multiple
>instances.
>
>I've pawed through my number theory books and can't find anything relating
>to this as regards odd numbers.

	Well, since all primes over 2 are odd, and the sum of two odd
numbers is always even, there goes that theory.

	Unless they changed the rules on primes since I last checked.
--
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Petro::E-Commerce Adminstrator::Playboy Ent. Inc.::petro@playboy.com