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Conference rusure::math

Title:	Mathematics at DEC

Moderator:	RUSURE::EDP

Created:	Mon Feb 03 1986
Last Modified:	Fri Jun 06 1997
Last Successful Update:	Fri Jun 06 1997
Number of topics:	2083
Total number of notes:	14613

1296.0. "even number= prime1+prime2" by SMAUG::ABBASI () Mon Sep 17 1990 14:28

    Is This proposition Ture ?
    
    EVERY non-negative even number (other than 2) is the sum of 2 prime
    numbers .
    
    going though the 50 or so first such numbers it looks like it, but
    is there a formal proof ? 
    
    /naser

T.R	Title	User	Personal Name	Date	Lines
1296.1	1 pointer	EAGLE1::BEST	R D Best, sys arch, I/O	`Mon Sep 17 1990 15:18`	13
	re .0: > EVERY non-negative even number (other than 2) is the sum of 2 prime > numbers . > going though the 50 or so first such numbers it looks like it, but > is there a formal proof ? This is the Goldbach Conjecture. The earliest relevant reference to whether it's been proved or not in this notesfile is 295.2. Search forward from there to find subsequent references, if any.
1296.2	nit	GUESS::DERAMO	Dan D'Eramo	`Mon Sep 17 1990 16:20`	15
	>> > EVERY non-negative even number (other than 2) is the sum of 2 prime >> > numbers . >> >> > going though the 50 or so first such numbers it looks like it, but >> > is there a formal proof ? >> >> This is the Goldbach Conjecture. Actually, Goldbach excluded the non-negative even number 0 as well. A variation of this conjecture (I don't know if it is attributed to Goldbach as well--perhaps the other notes address this) is that even integers greater than six are the sum of two distinct odd primes. Dan