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a(n) is the number of primes occurring between A053182(n) and A053183(n) (excluding the endpoints).
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%I #11 Feb 27 2014 04:53:06

%S 2,3,7,55,255,478,663,984,1237,1955,3021,3214,8312,13519,38267,40805,

%T 45400,47444,48835,55269,56758,59032,66067,92141,93063,103620,106611,

%U 108602,112713,140874,151335,163314,178215,183330,211350,235410,244165,265160,275971

%N a(n) is the number of primes occurring between A053182(n) and A053183(n) (excluding the endpoints).

%H Giovanni Resta, <a href="/A238399/b238399.txt">Table of n, a(n) for n = 1..2500</a>

%t (PrimePi[#^2 + #] - PrimePi[#]) & /@ Select[Prime@Range@500, PrimeQ[#^2 + # + 1] &] (* _Giovanni Resta_, Feb 27 2014 *)

%Y Cf. A053182, A053183

%K nonn

%O 1,1

%A _Torlach Rush_, Feb 26 2014

%E a(33)-a(39) from _Giovanni Resta_, Feb 27 2014