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

11, 41, 139, 313, 839, 1259, 2273, 2953, 4493, 7417, 8689, 12659, 15881, 17837, 21683, 28097, 35401, 38321, 46993, 53353, 56909, 67499, 75277, 87539, 105167, 115061, 120431, 130817, 136559, 147881, 189127, 202493

Offset

1,1

Links

Freimut Marschner, Table of n, a(n) for n = 1..63

Formula

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

Example

n = 1, prime(1^2+prime(1)^2) = prime(1 + 2^2) = prime(5) = 11.
n = 2, prime(2^2+prime(2)^2) = prime(4 + 3^2) = prime(13) = 41.

Crossrefs

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

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

Sequence in context: A334545 A268930 A139933 * A288795 A213659 A199209

Adjacent sequences: A243889 A243890 A243891 * A243893 A243894 A243895

Keyword

nonn

Author

Freimut Marschner, Jun 14 2014

Status

approved