A235983 Numbers n of the form p^8 + 1 (for prime p) such that n^8 + 1 is also prime.

5764802, 146830437604322, 498311414318121122, 554786279519086052117762, 830149880552636599409282, 12628864335244989661982882, 33144490094099439467757602, 47203563969247823515902242, 179357590196404221918909122, 397370823547272766854136322, 2043714066708245412886790402, 139717795608648816763227344162

Offset

1,1

Comments

All numbers are congruent to 2 mod 20.

Links

Table of n, a(n) for n=1..12.

Example

33144490094099439467757602 = 1549^8 + 1 (1549 is prime) and 33144490094099439467757602^8 + 1 is prime, so 33144490094099439467757602 is a member of this sequence.

Mathematica

Select[Prime[Range[600]]^8+1, PrimeQ[#^8+1]&] (* Harvey P. Dale, Dec 21 2014 *)

Prog

(Python)
import sympy
from sympy import isprime
{print(n**8+1) for n in range(10000) if isprime(n) if isprime((n**8+1)**8+1)}

Crossrefs

Cf. A060890, A006314.

Sequence in context: A017360 A017480 A017612 * A203931 A309835 A321365

Adjacent sequences: A235980 A235981 A235982 * A235984 A235985 A235986

Keyword

nonn

Author

Derek Orr, Jan 17 2014

Status

approved