A153133 Primes of the form 2^n+3^(n-1).

3, 7, 17, 43, 113, 307, 857, 20707, 181243, 539633, 14414443, 129402307, 31389448217, 1853028778786433, 5559077746424707, 50031613818476443, 150094772735952593, 8862938260389989451257, 26588814640432479998443

Offset

1,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..37

Mathematica

lst={}; Do[p=2^n+3^(n-1); If[PrimeQ[p], AppendTo[lst, p]], {n, 0, 5!}]; lst (* Vladimir Joseph Stephan Orlovsky, Jun 15 2009 *)
Select[3^#[[1]]+2^#[[2]]&/@Partition[Range[0, 50], 2, 1], PrimeQ] (* Harvey P. Dale, Feb 19 2015 *)

Prog

(Magma) [a: n in [0..100] | IsPrime(a) where a is 2^n+3^(n-1)];

Crossrefs

Cf. A082400.

Sequence in context: A078679 A025577 A085279 * A123601 A115325 A294129

Adjacent sequences: A153130 A153131 A153132 * A153134 A153135 A153136

Keyword

nonn

Author

Vincenzo Librandi, Mar 11 2009

Extensions

More terms from Vladimir Joseph Stephan Orlovsky, Jun 15 2009

Status

approved