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A173179
Numbers n such that n^4-n^3-n^2-n-1 is prime.
3
3, 8, 9, 11, 14, 17, 18, 20, 24, 27, 38, 41, 45, 48, 50, 51, 56, 59, 60, 62, 63, 71, 77, 78, 81, 84, 86, 87, 90, 92, 93, 95, 101, 111, 113, 114, 119, 146, 147, 153, 155, 171, 179, 186, 204, 207, 219, 225, 230, 231, 233, 234, 240, 246, 254, 255, 267, 284, 287, 291
OFFSET
1,1
COMMENTS
All terms == 0 or 2 (mod 3). - Robert Israel, Mar 09 2020
LINKS
MAPLE
select(t -> isprime(t^4-t^3-t^2-t-1), [$2..1000]); # Robert Israel, Mar 09 2020
MATHEMATICA
f[n_]:=n^4-n^3-n^2-n-1; Select[Range[6! ], PrimeQ[f[ #1]]&]
PROG
(PARI) is(n)=isprime(n^4-n^3-n^2-n-1) \\ Charles R Greathouse IV, Jun 06 2017
(Magma) [n: n in [2..350] | IsPrime(n^4 - n^3 - n^2 - n - 1)]; // Vincenzo Librandi, Mar 16 2020
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
EXTENSIONS
Edited by N. J. A. Sloane, Apr 10 2010
STATUS
approved