A125261 Numbers k such that k^6 + 5 is prime.

0, 18, 24, 114, 204, 216, 222, 246, 276, 312, 318, 372, 384, 426, 438, 468, 498, 582, 618, 654, 822, 888, 948, 984, 1182, 1188, 1272, 1278, 1284, 1374, 1446, 1536, 1674, 1782, 1788, 1794, 1806, 1812, 1896, 2034, 2058, 2088, 2124, 2154, 2232, 2238, 2376

Offset: 1

Author

Zak Seidov, Nov 26 2006

Keywords

• nonn

Links

• Carmine Suriano, Table of n, a(n) for n = 1..2254

Crossrefs

Other sequences of the type "Numbers k such that k^j + j - 1 is prime": A000040 (j=1), A005574 (j=2), A067200 (j=3), A125259 (j=4), A125260 (j=5), this sequence(j=6), A125262 (j=7), A125263 (j=8), A125264 (j=10), A125265 (j=11)..

Programs

Mathematica

lst={};k=6;Do[If[PrimeQ[n^k+k-1], AppendTo[lst, n]], {n, 0, 10^4}];lst (* Vladimir Joseph Stephan Orlovsky, Sep 10 2008 *)
Select[Range[0,2500],PrimeQ[#^6+5]&] (* Harvey P. Dale, Aug 29 2012 *)

PARI

is(n)=isprime(n^6+5) \\ Charles R Greathouse IV, Feb 17 2017