A162003 Primes of the form 1 + (k+2)^2 + (k+4)^4, k>=0.

4133, 14723, 38561, 457553, 708011, 2086433, 2314811, 3749861, 4881707, 5310533, 10559027, 12120611, 15756683, 21385733, 29991761, 37020833, 84943493, 151818923, 163059683, 181076933, 187401947, 268451333, 276939011, 322435361

Offset

1,1

Comments

These are created by k=4, 7, 10, 22, 25, 34, 35, 40, 43, 44, 53, 55, 59, 64, 70, 74, 92, 107, 109, 112, 113, 124, 125, 130, 140, 143, 152, 164, 167, 169,...

Primes created by the negative n= -1, -2, -3, -4, -5, -7, -8, -10 etc. are not included. - R. J. Mathar, Jun 26 2009

Links

Table of n, a(n) for n=1..24.

Mathematica

f[n_]:=n^0+(n+2)^2+(n+4)^4; lst={}; Do[If[PrimeQ[f[n]], AppendTo[lst, f[n]]], {n, 6!}]; lst
Select[Table[261+260 n+97 n^2+16 n^3+n^4, {n, 200}], PrimeQ] (* Harvey P. Dale, Jun 10 2026 *)

Crossrefs

Sequence in context: A236871 A300194 A188254 * A346901 A346885 A346828

Adjacent sequences: A162000 A162001 A162002 * A162004 A162005 A162006

Keyword

nonn,changed

Author

Vladimir Joseph Stephan Orlovsky, Jun 24 2009

Status

approved