1998-11-19 - Goldbach’s Conjecture - a question about prime sums of odd numbers…

Header Data

From: Jim Choate <ravage@einstein.ssz.com>
To: cypherpunks@einstein.ssz.com (Cypherpunks Distributed Remailer)
Message Hash: 897e0384b956817a73621d8a101075621b2cf48df1200635ba0166d0bfe5f119
Message ID: <199811190522.XAA01164@einstein.ssz.com>
Reply To: N/A
UTC Datetime: 1998-11-19 05:35:30 UTC
Raw Date: Thu, 19 Nov 1998 13:35:30 +0800

Raw message

From: Jim Choate <ravage@einstein.ssz.com>
Date: Thu, 19 Nov 1998 13:35:30 +0800
To: cypherpunks@einstein.ssz.com (Cypherpunks Distributed Remailer)
Subject: Goldbach's Conjecture - a question about prime sums of odd numbers...
Message-ID: <199811190522.XAA01164@einstein.ssz.com>
MIME-Version: 1.0
Content-Type: text



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.


    ____________________________________________________________________
 
            Lawyers ask the wrong questions when they don't want
            the right answers.

                                        Scully (X-Files)

       The Armadillo Group       ,::////;::-.          James Choate
       Austin, Tx               /:'///// ``::>/|/      ravage@ssz.com
       www.ssz.com            .',  ||||    `/( e\      512-451-7087
                           -====~~mm-'`-```-mm --'-
    --------------------------------------------------------------------





Thread