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%I #7 Apr 29 2016 17:31:47
%S 7,3,2,3,2,3,2,5,5,3,2,3,2,5,5,3,2,3,2,5,5,3,2,7,7,5,5,3,2,3,2,7,7,5,
%T 5,3,2,5,5,3,2,3,2,5,5,3,2,7,7,5,5,3,2,7,7,5,5,3,2,3,2,7,7,5,5,3,2,5,
%U 5,3,2,3,2,7,7,5,5,3,2,5,5,3,2,7,7,5
%N The prime n - A270003(n) - A270753(n).
%H Clark Kimberling, <a href="/A271353/b271353.txt">Table of n, a(n) for n = 1..10000</a>
%e n p q r
%e 1 3 5 7
%e 2 2 3 3
%e 3 2 3 2
%e 4 2 5 3
%e 5 2 5 2
%e 6 2 7 3
%e 7 2 7 2
%t t = Join[{{1, {3, 5, 7}}, {2, {2, 3, 3}}}, Table[If[PrimeQ[n], {n, {2, n, 2}}, p = If[EvenQ[2 + NextPrime[n, 1] - n], 3, 2]; NestWhile[# + 1 &, 1, ! PrimeQ[r = (p + (q = NextPrime[n, #])) - n] &]; {n, {p, q, r}}], {n, 3, 300}]];
%t Map[#[[2]][[1]] &, t] (* p, A270003 *)
%t Map[#[[2]][[2]] &, t] (* q, A270753 *)
%t Map[#[[2]][[3]] &, t] (* r, A271353 *)
%t (* _Peter J. C. Moses_, Apr 26 2016 *)
%Y Cf. A000040, A270003, A270753.
%K nonn,easy
%O 1,1
%A _Clark Kimberling_, Apr 26 2016
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