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A243892 a(n) = prime(k) with k = n^2 + prime(n)^2. 2

%I #11 Jun 14 2014 13:27:25

%S 11,41,139,313,839,1259,2273,2953,4493,7417,8689,12659,15881,17837,

%T 21683,28097,35401,38321,46993,53353,56909,67499,75277,87539,105167,

%U 115061,120431,130817,136559,147881,189127,202493

%N a(n) = prime(k) with k = n^2 + prime(n)^2.

%H Freimut Marschner, <a href="/A243892/b243892.txt">Table of n, a(n) for n = 1..63</a>

%F a(n) = prime((n^2 + prime(n)^2)) = prime(A106587(n)).

%e n = 1, prime(1^2+prime(1)^2) = prime(1 + 2^2) = prime(5) = 11.

%e n = 2, prime(2^2+prime(2)^2) = prime(4 + 3^2) = prime(13) = 41.

%Y Cf. A000290 (squares n^2), A000040 (prime(n)), A001248 (prime(n)^2), A106587 (n^2 + prime(n)^2).

%Y Also A011757 is prime(n^2), A096327 is prime(prime(n)^2).

%K nonn

%O 1,1

%A _Freimut Marschner_, Jun 14 2014

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Last modified April 23 20:33 EDT 2024. Contains 371916 sequences. (Running on oeis4.)