Re: More Goldbach's Conjecture

Jim Choate wrote:

Well there are two more definitions, from the same book [1], that are not equivalent:

pp. 335

For all natural numbers x, if x is even, non-zero, and not 2, then there exist prime numbers y and z such that x is the sum of y and z.

pp. 673

...every even number, n>6 (it at least takes care of my question about 4), is the sum of two odd primes.

[1] VNR Concise Encyclopedia of Mathematics

Evidently there is a printing error. 'n>6' should read 'n>=6'. Then they are equivalent (if one considers 4 = 2 + 2 to be known). M. K. Shen