A119863 Numbers k such that k^3 + k^2 + 1 is prime.

1, 2, 3, 5, 8, 9, 11, 12, 23, 24, 26, 30, 35, 42, 44, 45, 47, 53, 56, 57, 62, 66, 68, 69, 71, 74, 86, 87, 89, 92, 101, 111, 120, 122, 123, 125, 140, 143, 147, 152, 170, 177, 179, 180, 191, 192, 195, 198, 203, 209, 219, 224, 230, 234, 239, 243, 245, 246, 254, 255, 263

Offset: 1

Author

Parthasarathy Nambi, Jul 31 2006

Keywords

• nonn

Examples

			92^3 + 92^2 + 1 = 787153 (prime), so 92 is in the sequence.
		

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A005574.

Programs

Maple

a:=proc(n) if isprime(n^3+n^2+1)=true then n else fi end: seq(a(n),n=0..300); # Emeric Deutsch, Aug 04 2006

Mathematica

Select[Range[300],PrimeQ[#^3+#^2+1]&] (* Harvey P. Dale, May 03 2014 *)

PARI

is(n)=isprime(n^3+n^2+1) \\ Charles R Greathouse IV, Jan 21 2015

Extensions

More terms from Emeric Deutsch and R. J. Mathar, Aug 04 2006