A035325 Primes of the form 2^k + k^2 + 1.

2, 101, 4241, 262469, 5846006549323611672814739330865132078623730198149, 6277101735386680763835789423207666416102355444464034549761, 105312291668557186697918027683670432318895095400549111254311024193

Offset

1,1

Comments

Corresponding k's (A100357) all are multiples of 6. - Zak Seidov, Apr 05 2014

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..9

Mathematica

Select[Table[2^n + n^2 + 1, {n, 0, 300, 6}], PrimeQ ] (* Vincenzo Librandi, Sep 03 2012 *)

Prog

(Magma) [ a: n in [0..250] | IsPrime(a) where a is 2^n + n^2 + 1 ] // Vincenzo Librandi, Sep 03 2012

Crossrefs

Cf. A100357 (corresponding n's). - Zak Seidov, Apr 05 2014

Sequence in context: A037053 A300102 A222449 * A266457 A028989 A113575

Adjacent sequences: A035322 A035323 A035324 * A035326 A035327 A035328

Keyword

nonn

Author

N. J. A. Sloane.

Extensions

More terms from James A. Sellers

Status

approved