A057735 Primes of the form 3^k + 2.

3, 5, 11, 29, 83, 6563, 59051, 4782971, 14348909, 282429536483, 2541865828331, 150094635296999123, 1144561273430837494885949696429, 57264168970223481226273458862846808078011946891, 30432527221704537086371993251530170531786747066637051

Offset

1,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..29

Formula

a(n) = 3^A051783(n) + 2. - Elmo R. Oliveira, Nov 09 2023

Mathematica

Select[Table[3^n+2, {n, 0, 200}], PrimeQ] (* Vincenzo Librandi, Dec 08 2011 *)

Prog

(Magma) [a: n in [0..200] | IsPrime(a) where a is  3^n+2]; // Vincenzo Librandi, Dec 08 2011
(PARI) select(ispseudoprime, vector(100, n, 3^n+2)) \\ Charles R Greathouse IV, Apr 29 2015

Crossrefs

Cf. A000040, A051783 (corresponding k's).

Sequence in context: A194563 A080443 A168607 * A095302 A335367 A000101

Adjacent sequences: A057732 A057733 A057734 * A057736 A057737 A057738

Keyword

nonn

Author

G. L. Honaker, Jr., Oct 29 2000

Status

approved