[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
franktaw at netscape.net
Mon May 17 01:22:54 CEST 2010
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. ...
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