A239416 Numbers n such that n^8-8 is prime.

3, 7, 19, 39, 73, 75, 101, 107, 145, 147, 171, 213, 235, 247, 263, 285, 319, 353, 359, 369, 399, 443, 445, 521, 523, 557, 613, 675, 693, 707, 733, 781, 791, 805, 815, 829, 837, 879, 927, 943, 961, 999, 1033, 1097, 1103, 1109, 1129, 1137, 1141, 1155, 1157

Offset

1,1

Comments

Note that all the numbers in this sequence are odd.

Links

Table of n, a(n) for n=1..51.

Example

3^8-8 = 6553 is prime. Thus, 3 is a member of this sequence.

Mathematica

Select[Range[3, 1200, 2], PrimeQ[#^8-8]&] (* Harvey P. Dale, Jun 27 2014 *)

Prog

(Python)
import sympy
from sympy import isprime
{print(n) for n in range(10**4) if isprime(n**8-8)}
(PARI) is(n)=isprime(n^8-8) \\ Charles R Greathouse IV, Feb 20 2017

Crossrefs

Cf. A028870, A153974, A239413, A239414, A239415, A239417, A239418, A239345.

Sequence in context: A298125 A047025 A222465 * A281866 A173114 A163572

Adjacent sequences: A239413 A239414 A239415 * A239417 A239418 A239419

Keyword

nonn

Author

Derek Orr, Mar 17 2014

Status

approved