A258805 Primes of the form k^8 + 1.

2, 257, 65537, 37588592026706177, 92170395205042177, 147578905600000001, 284936905588473857, 3503536769037500417, 11007531417600000001, 11763130845074473217, 47330370277129322497, 50024641296100000001, 76872571987558646017, 416806419029812551937

Offset: 1

Author

Vincenzo Librandi, Jun 11 2015

Keywords

• nonn
• easy

Links

• Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

Crossrefs

Subsequence of A002496, A037896.

Cf. A006314 (associated n), A060890.

Programs

Magma

[a: n in [1..500] | IsPrime(a) where a is n^8+1];

Mathematica

Select[Range[500]^8 + 1, PrimeQ]

PARI

is(n)=ispower(n-1,8) && isprime(n) \\ Charles R Greathouse IV, Jun 11 2015

Formula

a(n) = A060890(A006314(n)). - Michel Marcus, Jun 11 2015