Open Problem Garden - Goldbach conjecture - Comments

Weak conjecture now solved (re: Goldbach conjecture)

Charles R Greathouse IV — Fri, 14 Jun 2013 18:11:14 +0200

Note that Harald Helfgott has proved the ternary version of Goldbach's conjecture, that every odd number greater than 7 is the sum of three odd primes. See http://arxiv.org/abs/1205.5252 (minor arc estimates) and http://arxiv.org/abs/1305.2897 (major arc estimates).

Goldbach conjecture (re: Goldbach conjecture)

Anonymous — Wed, 12 Dec 2007 13:21:55 +0100

In addition to the above link to the paper with Goldbach-Conj. proof, the abstract and links to an intro-article are at http://home.iae.nl/users/benschop/ng-abstr.htm

Goldbach conjecture (re: Goldbach conjecture)

Benschop — Thu, 22 Nov 2007 10:04:41 +0100

Those interested in a suggestion for a proof via semigroup theory and carry extension, see: "Additive structure of Z(.) mod [\prod first k primes], with carry extension to prime pair sums". - http://home.iae.nl/users/benschop/ngb0203.pdf (10 pgs, submitted for publication)

Goldbach conjecture

Benschop — Tue, 20 Nov 2007 14:12:04 +0100

Author(s): Goldbach

Subject: Number Theory » Additive N.T.

Conjecture Every even integer greater than 2 is the sum of two primes.