[seqfan] Re: Primes that are the sum of 4 distinct primes; and Primes that are not the sum of 4 distinct primes

[franktaw at netscape.net]

Do you have a reference for that? Naively, it appears to require 
something a bit stronger than the Goldbach conjecture.

It also doesn't seem to quite imply the Goldbach conjecture: write 2n-2 
as the sum of two primes p+q; maybe 2n is p+q+2 but not the sum of 2 
distinct primes, and 2n+2 is the sum of two distinct primes but not of 
three.

Franklin T. Adams-Watters

-----Original Message-----
From: William Keith <wjk26 at drexel.edu>

...  The
claim that every integer n>17 is the sum of at most 3 distinct primes 
is
equivalent to the Goldbach conjecture. ...