%N Numbers which can be expressed as the sum of two distinct primes in exactly three ways.
%e 30 is a term as 30 = 23+7 = 19+11 = 17+13 are the only three ways to express 30 as a sum of three distinct primes.
%p P:=proc(q,w) local a,k,n;
%p for n from 1 to q do a:=0; for k from 1 to trunc(n/2) do
%p if isprime(k) and isprime(n-k) and n<>2*k then a:=a+1; fi; od;
%p if a=w then print(n); fi; od; end: P(200,3); # _Paolo P. Lava_, May 21 2014
%Y Cf. A077914 (2 ways), A078299 (4 ways), A080854 (5 ways), A080862 (6 ways).
%A _Shyam Sunder Gupta_, Mar 29 2003