%I #6 Mar 31 2012 13:20:45
%S 4,8,22,232,596,4016,7277650,1749701948
%N Pair sums are even interprimes.
%C In the sequence all pair sums are even interprimes which are in A075689. Next term of the sequence (if any) a(7) > 2750000. Is this sequence infinite?
%C No more terms < 1.76*10^10. - _David Wasserman_, Apr 06 2005
%F a(1)=4; smallest a(n) > a(n-1): a(1)+a(n), ..., a(n-1)+a(n) all are even interprimes.
%e a(1) = 4; a(1) + a(2) = 4 + 8 = 12 = ( 11 + 13 ) / 2, even interprime; a(1) + a(3) = 4 + 22 = 26 = ( 23 + 29 )/2, even interprime; a(2) + a(3) = 8 + 22 = 30 = ( 29 + 31 )/2, even interprime, etc.
%Y Cf. A075689.
%K nonn
%O 1,1
%A _Zak Seidov_, Sep 25 2002
%E More terms from _David Wasserman_, Apr 06 2005