A366997 Numbers k such that 3^k*k^3 + 2 is a prime.

0, 1, 9, 13, 27, 45, 169, 285, 307, 891, 4545, 9173, 20803

Offset

1,3

Comments

If it exists, a(14) > 70000. - Hugo Pfoertner, Nov 02 2023

Links

Table of n, a(n) for n=1..13.

Mathematica

Select[Range[0, 5000], PrimeQ[3^#*#^3 + 2] &] (* Amiram Eldar, Nov 02 2023 *)

Prog

(Magma) [k: k in [1..310] | IsPrime(3^k*k^3+2)];

Crossrefs

Cf. A366956.

Sequence in context: A107913 A175532 A098074 * A032361 A031196 A151725

Adjacent sequences: A366994 A366995 A366996 * A366998 A366999 A367000

Keyword

nonn,more

Author

Juri-Stepan Gerasimov, Oct 31 2023

Extensions

a(12)-a(13) from Michael S. Branicky, Oct 31 2023

Status

approved