A239413 Numbers n such that n^5-5 is prime.

4, 12, 16, 42, 102, 124, 132, 144, 184, 232, 274, 288, 306, 316, 336, 352, 406, 438, 478, 582, 606, 622, 706, 742, 754, 762, 814, 832, 916, 922, 964, 984, 996, 1026, 1044, 1072, 1086, 1096, 1156, 1174, 1204, 1258, 1272, 1366, 1408, 1416, 1428, 1432, 1456

Offset: 1

Author

Derek Orr, Mar 17 2014

Keywords

• nonn
• easy

Comments

Note that all the numbers in this sequence are even.

There is no sequence "Numbers n such that n^4-4 is prime." since n^4 - 4 = (n^2 + 2)(n^2 - 2). - Michael B. Porter, Mar 18 2014

Examples

			4^5-5 = 1019 is prime. Thus, 4 is a member of this sequence.
		

Crossrefs

Cf. A028870, A153974, A239343.

Programs

Mathematica

Select[Range[1500],PrimeQ[#^5-5]&] (* Harvey P. Dale, Dec 30 2019 *)

PARI

is(n)=isprime(n^5-5) \\ Charles R Greathouse IV, Feb 17 2017

Python

import sympy
from sympy import isprime
{print(n) for n in range(10**4) if isprime(n**5-5)}