A162295 Primes of the form k^3-k^2-k-1.

43, 173, 439, 1571, 3823, 10141, 21139, 38113, 83203, 122449, 154493, 172423, 191689, 433123, 468389, 673639, 1318789, 1392271, 1628989, 2388013, 2608889, 3771923, 4225121, 4546573, 4713239, 4883929, 6609139, 6822709, 7959799

Offset

1,1

Links

Ivan Neretin, Table of n, a(n) for n = 1..10000

Formula

a(n)=k^3-k^2-k-1 where k=A162294(n).

Example

a(1)=4^3-4^2-4-1=43. a(2)=6^3-6^2-6-1=173.

Mathematica

lst={}; Do[p=n^3-n^2-n-1; If[PrimeQ[p], AppendTo[lst, p]], {n, 2, 6!}]; lst

Crossrefs

Cf. A087908, A162291, A111501, A162293, A162294, A162294 (corresponding k).

Sequence in context: A083357 A158604 A057816 * A187722 A158628 A123597

Adjacent sequences: A162292 A162293 A162294 * A162296 A162297 A162298

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Jun 30 2009

Extensions

Edited by R. J. Mathar, Jul 02 2009

Status

approved