A162292 Primes of the form k^3-k^2+1, k>0.

5, 19, 101, 181, 449, 2029, 2549, 8821, 13249, 16901, 21169, 23549, 34849, 38149, 41651, 45361, 62401, 77659, 89101, 108289, 115249, 122501, 130051, 163351, 191749, 433201, 505601, 564899, 697049, 720901, 795709, 875521, 960499, 990001

Offset

1,1

Links

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

Formula

a(n)= A111501(n)^3-A111501(n)^2+1 .

Example

a(1)=2^3-2^2+1=5. a(2)=3^3-3^2+1=19. a(3)=5^3-5^2+1=101.

Mathematica

lst={}; Do[s=n^3-n^2; If[PrimeQ[s+1], AppendTo[lst, s+1]], {n, 4*5!}]; lst

Crossrefs

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

Sequence in context: A331336 A361278 A146144 * A321875 A359808 A005165

Adjacent sequences: A162289 A162290 A162291 * A162293 A162294 A162295

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Jun 30 2009

Extensions

Edited by R. J. Mathar, Jul 02 2009

Status

approved