A188661 Primes of the form (2^n+3)^2-8.

17, 41, 113, 353, 1217, 4481, 67073, 1054721, 4206593, 16801793, 274881052673, 18014399314788353, 72057595648540673, 18446744099479355393, 4722366483281962074113, 79228162514266026443404214273

Offset: 1

Author

N. J. A. Sloane, Apr 14 2011

Keywords

• nonn
• easy

Comments

Primes in A188129.

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..25
• Daniel Shanks, Gauss's ternary form reduction and the 2-Sylow subgroup, Math. Comp. 25 (1971), 837-853.

Crossrefs

Cf. A188129, A188936.

Programs

Magma

[a: n in [0..100] | IsPrime(a) where a is (2^n+3)^2-8]; // Vincenzo Librandi, Mar 21 2013

Mathematica

Select[(2^Range[0,50]+3)^2-8,PrimeQ]  (* Harvey P. Dale, Apr 16 2011 *)
Select[Table[(2^n + 3)^2 - 8, {n, 80}], PrimeQ] (* Vincenzo Librandi, Mar 21 2013 *)