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Positive integers which cannot be represented as half-sums (averages) of two primes with indices that are primes with prime indices.
3

%I #5 Oct 13 2012 00:23:53

%S 1,2,3,4,6,7,9,10,12,13,14,15,16,17,19,20,22,23,24,25,26,27,28,29,30,

%T 33,34,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,

%U 58,60,61,62,63,64,65,67,68,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85

%N Positive integers which cannot be represented as half-sums (averages) of two primes with indices that are primes with prime indices.

%C Appears to be finite with the last term being a(1578727)=161352166. If a(1578728) exists, it is greater than 10^9.

%C The (apparently) last 19 terms are listed in A175321.

%C Computed at the suggestion of _Jonathan Vos Post_.

%H J. S. Kimberley, <a href="/A175320/b175320.txt">Table of n, a(n) for n=1..1578727</a>

%F The complement of A175319.

%Y Cf. A174682.

%K nonn

%O 1,2

%A _Jason Kimberley_, Apr 04 2010