[105685] in Cypherpunks
Re: Goldbach's Conjecture - a question about prime sums of odd numbers...
daemon@ATHENA.MIT.EDU (Eric Cordian)
Thu Nov 19 01:46:52 1998
From: Eric Cordian <emc@wire.insync.net>
To: cypherpunks@cyberpass.net
Date: Thu, 19 Nov 1998 00:20:05 -0600 (CST)
In-Reply-To: <199811190522.XAA01164@einstein.ssz.com> from "Jim Choate" at Nov 18, 98 11:22:04 pm
Reply-To: Eric Cordian <emc@wire.insync.net>
Jim Choate writes:
> Hi,
> I have a question related to Goldbach's Conjecture:
> All even numbers greater than two can be represented as the sum of primes.
All even numbers greater than two can be represented as the sum of
TWO primes.
> Is there any work on whether odd numbers can always be represented as the
> sum of primes?
Goldbach originally suggested that all numbers greater than two could be
expressed as the sum of three primes, if one tossed in 1 as a prime
number. Euler pointed out that this was equivalent to even numbers
greater than two being expressed as the sum of two primes.
This seemed a somewhat cleaner formulation, and it was adopted.
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