A290244 Primes of the form 3^k - 14.

13, 67, 229, 6547, 129140149, 1162261453, 68630377364869, 145557834293068928043467566190278008218249525830565939618467

Offset: 1

Author

Robert Price, Jul 24 2017

Keywords

• nonn

Links

• Robert Price, Table of n, a(n) for n = 1..9
• F. Firoozbakht and M. F. Hasler, Variations on Euclid's formula for Perfect Numbers, JIS 13 (2010) #10.3.1.
• Henri & Renaud Lifchitz, PRP Records
• OpenPFGW Project, Primality Tester

Crossrefs

Cf. A000040, A219038 (corresponding k's).

Programs

Mathematica

Select[Table[3^k - 14, {k, 3, 100}], PrimeQ[#] &]

PARI

lista(nn) = for(n=3, nn, if(isprime(p=3^n-14), print1(p", "))); \\ Altug Alkan, Jul 25 2017

Formula

a(n) = 3^A219038(n) - 14. - Elmo R. Oliveira, Nov 11 2023