A161589 Numbers n such that n^3 - 4 and n^3 + 4 are prime.

3, 45, 63, 117, 507, 537, 717, 783, 807, 867, 993, 1065, 1335, 1527, 2295, 2355, 2817, 2823, 3093, 3117, 3357, 4173, 5067, 5085, 5535, 6087, 6333, 6357, 6393, 6987, 7407, 7713, 7767, 8577, 8877, 9123, 9615, 9945, 10065, 10377, 10575, 10725, 10845, 12795

Offset

1,1

Comments

3^3 - 4 = 23, 3^3 + 4 = 31

Links

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

Mathematica

lst={}; Do[a=n^3; If[PrimeQ[a-4]&&PrimeQ[a+4], AppendTo[lst, n]], {n, 8!}]; lst
Select[Range[2, 13000], And@@PrimeQ[#^3+{4, -4}]&] (* Harvey P. Dale, May 13 2012 *)

Crossrefs

Subsequence of A016945.

Sequence in context: A101236 A119182 A178337 * A360966 A079038 A101790

Adjacent sequences: A161586 A161587 A161588 * A161590 A161591 A161592

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Jun 14 2009

Extensions

Edited by Charles R Greathouse IV, Nov 11 2009

Status

approved