A163513 Primes of the form (1+p+p^3)/3, p are prime numbers.

2293, 9941, 895253, 2626933, 17298497, 33084437, 47685397, 62056661, 76782337, 144599617, 189907873, 211280213, 258717493, 301410677, 479690273, 630940097, 717228821, 778918037, 1035249013, 1814163413, 1889439157, 2710909781

Offset

1,1

Comments

2293=(1+19+19^3)/3,..

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Mathematica

f[n_]:=(1+n+n^3)/3; lst={}; Do[p=Prime[n]; If[PrimeQ[f[p]], AppendTo[lst, f[p]]], {n, 7!}]; lst
Select[(1+#+#^3)/3&/@Prime[Range[400]], PrimeQ] (* Harvey P. Dale, Apr 09 2016 *)

Crossrefs

Cf. A163512

Sequence in context: A180454 A216899 A023323 * A349085 A274359 A306871

Adjacent sequences: A163510 A163511 A163512 * A163514 A163515 A163516

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Jul 29 2009

Status

approved