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%I #4 Mar 31 2012 13:22:06
%S 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
%T 1,0,0,2,0,0,1,1,0,0,2,0,0,2,0,0,2,0,0,2,0,0,2,0,0,2,0,0,2,0,0,1,1,0,
%U 0,2,0,0,1,0,0,0,1,0,0,2,0,0,1,0,0,0,1,0,1,2,0,2,1,0,2,1,0,2,3,0,1,4,0,0,3
%N Number a of different pairs of primes p,q (not consecutive) and such that p-6,p or p,p+6 are consecutive primes q-6,q or q,q+6 are consecutive primes and p+q=2*n
%C Conjecture:if n>4093 there is at least one pair p,q as define such that p+q=2*n
%H Pierre CAMI, <a href="/A159708/b159708.txt">Table of n, a(n) for n=1..50000</a>
%e 23+47=70,23,29 and 47,53 consecutive primes so a(35)=1 29+41=70 but 41,47 are not consecutive primes gap 6
%e 23+53=76,29+47=76,76=2*38, 23,29 and 47,53 consecutive primes with gap 6, so a(38)=2
%Y Cf. A159700, A159704
%K nonn
%O 1,38
%A _Pierre CAMI_, Apr 20 2009
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