A104070 Primes of the form 2^k + 9.

11, 13, 17, 41, 73, 137, 521, 1033, 262153, 8388617, 1073741833, 137438953481, 140737488355337, 144115188075855881, 73786976294838206473, 4835703278458516698824713, 39614081257132168796771975177

Offset

1,1

Links

Table of n, a(n) for n=1..17.

Formula

a(n) = 2^A057196(n) + 9. - Elmo R. Oliveira, Nov 08 2023

Mathematica

a = Delete[Union[Flatten[Table[If [PrimeQ[2^n + 9] == True, 2^ n + 9, 0], {n, 1, 400}]]], 1]
Select[2^Range[0, 100]+9, PrimeQ] (* Harvey P. Dale, Mar 11 2023 *)

Prog

(Magma) [a: n in [0..250] | IsPrime(a) where a is 2^n+9]; // Vincenzo Librandi, Jan 26 2011

Crossrefs

Cf. A000040, A057196 (numbers k such that 2^k + 9 is prime). [From Klaus Brockhaus, Mar 14 2009]

Sequence in context: A347702 A167794 A019336 * A019371 A068335 A306766

Adjacent sequences: A104067 A104068 A104069 * A104071 A104072 A104073

Keyword

nonn

Author

Roger L. Bagula, Mar 02 2005

Status

approved