A111501 Numbers n such that n^3 - n^2 + 1 is prime.

2, 3, 5, 6, 8, 13, 14, 21, 24, 26, 28, 29, 33, 34, 35, 36, 40, 43, 45, 48, 49, 50, 51, 55, 58, 76, 80, 83, 89, 90, 93, 96, 99, 100, 101, 104, 110, 111, 115, 118, 120, 121, 124, 133, 135, 138, 140, 148, 149, 161, 170, 173, 181, 190, 191, 194, 195, 201, 203, 204, 205

Offset: 1

Author

Pierre CAMI, Nov 16 2005

Keywords

• easy
• nonn

Examples

			2^3 - 2^2 + 1 = 8 - 4 + 1 = 5, which is prime.
		

Links

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

Crossrefs

Cf. A162292 (corresponding primes).

Programs

Mathematica

Select[Range[210],PrimeQ[#^3-#^2+1]&] (* Harvey P. Dale, Mar 04 2012 *)

PARI

isok(n) = isprime(n^3 - n^2 + 1); \\ Michel Marcus, Aug 24 2016

Extensions

More terms from Vladimir Joseph Stephan Orlovsky, Jun 30 2009