A154833 Numbers n such that n^5-2 is prime.

3, 13, 31, 63, 93, 139, 181, 211, 229, 265, 271, 303, 325, 339, 343, 345, 411, 441, 519, 523, 531, 549, 555, 573, 619, 663, 675, 681, 693, 741, 751, 805, 819, 835, 853, 861, 945, 951, 969, 975, 993, 1063, 1071, 1095, 1119, 1143, 1275, 1281, 1305, 1329

Offset: 1

Author

Vladimir Joseph Stephan Orlovsky, Jan 15 2009

Keywords

• nonn
• easy

Comments

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

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A028870, A038599, A154831, A154832.

Programs

Magma

[n: n in [1..500] | IsPrime(n^5-2)]; // Vincenzo Librandi, Nov 26 2010

Mathematica

lst={};Do[p=n^5-2;If[PrimeQ[p],AppendTo[lst,n]],{n,0,7!}];lst
Select[Range[2 10^3], PrimeQ[#^5 - 2] &] (* Vincenzo Librandi, Mar 20 2014 *)

PARI

is(n)=isprime(n^5-2) \\ Charles R Greathouse IV, Feb 17 2017