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A071351 Numbers n such that both n^4 + 2 and n^4 - 2 are prime. 2
3, 21, 87, 99, 129, 141, 279, 627, 657, 777, 783, 795, 1653, 1725, 1833, 1959, 2001, 2043, 3039, 3399, 3609, 3861, 3975, 4257, 4371, 4491, 5403, 5541, 5709, 5985, 7371, 7539, 7869, 7917, 8397, 8445, 8547, 8793, 9051, 9057, 9915, 9933, 11067, 12153 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

EXAMPLE

n=3: n^4 = 81; {79,83} are primes.

MATHEMATICA

lst={}; Do[p1=n^4-2; p2=n^4+2; If[PrimeQ[p1]&&PrimeQ[p2], AppendTo[lst, n]], {n, 0, 8!}]; lst (* Vladimir Joseph Stephan Orlovsky, Jan 17 2009 *)

Select[Range[730000], AllTrue[#^4 + {2, -2}, PrimeQ] &] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Jan 02 2018 *)

CROSSREFS

Cf. A028870, A038599, A154831, A154832, A154833, A154834, A154933, A154934, A154935, A154936. - Vladimir Joseph Stephan Orlovsky, Jan 17 2009

Sequence in context: A112851 A253943 A034490 * A083231 A129755 A059826

Adjacent sequences:  A071348 A071349 A071350 * A071352 A071353 A071354

KEYWORD

easy,nonn

AUTHOR

Labos Elemer, May 21 2002

STATUS

approved

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Last modified October 20 12:47 EDT 2019. Contains 328257 sequences. (Running on oeis4.)