Re: More Goldbach's Conjecture

[Mok-Kong Shen <mok-kong.shen@stud.uni-muenchen.de>]

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