A096174 Even numbers k such that (k^3+1)/(k+1) is prime.

2, 4, 6, 16, 18, 22, 28, 34, 42, 58, 60, 70, 72, 76, 78, 90, 100, 102, 106, 112, 118, 120, 132, 142, 144, 148, 154, 156, 162, 168, 174, 190, 204, 210, 216, 232, 246, 280, 288, 294, 310, 330, 352, 358, 370, 382, 384, 396, 406, 436, 448, 454, 456, 490, 496, 526

Offset: 1

Author

Hugo Pfoertner, Jun 20 2004

Keywords

• nonn

Examples

			a(1)=2 because (2^3+1)/(2+1)=9/3=3 is prime, a(8)=34: (34^3+1)/(34+1)=39305/35=1123 is prime.
		

Links

• Hugo Pfoertner, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A055494.

Cf. A081256, A096173.

Programs

PARI

is(n)=n%2==0 && isprime((n^3+1)/(n+1)) \\ Charles R Greathouse IV, Feb 17 2017

Extensions

Definition corrected by N. J. A. Sloane, Apr 08 2010