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A161589 Numbers n such that n^3 - 4 and n^3 + 4 are prime. 1
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 (list; graph; refs; listen; history; text; internal format)
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 * A079038 A101790 A124494

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

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Last modified December 9 23:05 EST 2022. Contains 358710 sequences. (Running on oeis4.)