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A162292 Primes of the form k^3-k^2+1, k>0. 3
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 (list; graph; refs; listen; history; text; internal format)
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: A106958 A331336 A146144 * A321875 A005165 A071828

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

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Last modified July 11 01:51 EDT 2020. Contains 335600 sequences. (Running on oeis4.)