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. -- "To sum up: The entire structure of antitrust statutes in this country is a jumble of economic irrationality and ignorance. It is a product: (a) of a gross misinterpretation of history, and (b) of rather naïve, and certainly unrealistic, economic theories." Alan Greenspan, "Anti-trust" http://www.ecosystems.net/mgering/antitrust.html Petro::E-Commerce Adminstrator::Playboy Ent. Inc.::petro@playboy.com