A290243 Prime numbers of the form 3^k - 10.

17, 71, 233, 719, 6551, 129140153, 387420479, 10460353193, 31381059599, 150094635296999111, 1350851717672992079, 36472996377170786393, 58149737003040059690390159, 523347633027360537213511511, 443426488243037769948249630619149892793

Offset: 1

Author

Robert Price, Jul 24 2017

Keywords

• nonn

Links

• Robert Price, Table of n, a(n) for n = 1..21
• F. Firoozbakht, 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, A217347 (corresponding k's).

Programs

Mathematica

Select[Table[3^k - 10, {k, 3, 100}], PrimeQ[#] &]

PARI

lista(nn) = for(n=3, nn, if(isprime(p=3^n-10), print1(p", "))); \\ Altug Alkan, Jul 24 2017

Formula

a(n) = 3^A217347(n) - 10. - Elmo R. Oliveira, Nov 09 2023