A154834 Primes p such that p^5 - 2 is also prime.

3, 13, 31, 139, 181, 211, 229, 271, 523, 619, 751, 853, 1063, 1483, 1699, 2791, 3361, 3463, 3541, 3769, 4051, 4201, 4801, 4861, 4903, 5521, 5689, 5701, 6163, 6211, 6763, 6823, 6949, 7621, 8059, 8269, 8389, 8419, 8563, 8689, 8713, 9001, 9103, 9319, 10303

Offset: 1

Author

Vladimir Joseph Stephan Orlovsky, Jan 15 2009

Keywords

• nonn

Comments

Primes in A154833.

Examples

			3^5 - 2 = 241 is prime,
13^5 - 2 = 371291 is prime, ...
		

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A028870, A038599, A154831, A154832, A154833.

Programs

Mathematica

lst={};Do[p=n^5-2;If[PrimeQ[p],If[PrimeQ[n],AppendTo[lst,n]]],{n,0,7!}];lst
Select[Prime[Range[1300]],PrimeQ[#^5-2]&] (* Harvey P. Dale, Feb 09 2019 *)