A102874 Primes of the form 3^k + 14.

17, 23, 41, 257, 743, 19697, 59063, 847288609457, 57264168970223481226273458862846808078011946903, 16173092699229880893718618465586445357583280647840659957623

Offset: 1

Author

Roger L. Bagula, Mar 01 2005

Keywords

• nonn

Comments

The sequence of corresponding n starts 1, 2, 3, 5, 6, 9, 10, 25, 98, 122, 153, 190, 258, 511, 549, ... (complete up to 10^3). [Joerg Arndt, Jul 19 2012]

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..18

Crossrefs

Cf. A000040, A219035 (corresponding k's).

Programs

Magma

[ a: n in [0..200] | IsPrime(a) where a is 3^n+14 ]; // Vincenzo Librandi, Jul 19 2012

Mathematica

Select[Table[3^n+14,{n,0,200}],PrimeQ] (* Vincenzo Librandi, Jul 19 2012 *)

Formula

a(n) = 3^A219035(n) + 14. - Elmo R. Oliveira, Nov 11 2023

Extensions

Edited by N. J. A. Sloane at the suggestion of Andrew S. Plewe, May 16 2007