A162004 Primes of the form n+(n+3)^3, n>=0.

127, 347, 2207, 8017, 10667, 15647, 17599, 21977, 29819, 32797, 54907, 64037, 97379, 103867, 148927, 314497, 456607, 571867, 681557, 753659, 778777, 1092827, 1191119, 1331107, 1443007, 2352767, 2515589, 3048767, 3112279, 3241937

Offset

1,1

Comments

These are created by n=2, 4, 10, 17, 19, 22, 23, 25, 28, 29, 35, 37, 43, 44,

50, 65, 74, 80, 85, 88, 89, 100, 103, 107, 110, 130, 133, 142, 143...

The prime created by the negative n = -1 is not included.

Links

Table of n, a(n) for n=1..30.

Mathematica

f[n_]:=n^1+(n+3)^3; lst={}; Do[If[PrimeQ[f[n]], AppendTo[lst, f[n]]], {n, 6!}]; lst
Select[Table[n+(n+3)^3, {n, 300}], PrimeQ] (* Harvey P. Dale, Aug 17 2012 *)

Crossrefs

Sequence in context: A031933 A283622 A080035 * A112419 A142201 A142889

Adjacent sequences: A162001 A162002 A162003 * A162005 A162006 A162007

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Jun 24 2009

Extensions

Note on primes from negative n added by R. J. Mathar, Jun 26 2009

Status

approved