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
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)