A120479 Primes of the form k^3 + k^2 + 1.

3, 13, 37, 151, 577, 811, 1453, 1873, 12697, 14401, 18253, 27901, 44101, 75853, 87121, 93151, 106033, 151687, 178753, 188443, 242173, 291853, 319057, 333271, 362953, 410701, 643453, 666073, 712891, 787153, 1040503, 1379953, 1742401

Offset

1,1

Comments

Primes in A098547. - Michel Marcus, Jan 21 2015

Links

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

Example

1^3 + 1^2 + 1 = 3 (prime), so 3 is in the sequence.
2^3 + 2^2 + 1 = 13 (prime), so 13 is in the sequence.
3^3 + 3^2 + 1 = 37 (prime), so 37 is in the sequence.
4^3 + 4^2 + 1 = 81 = 3^4, so 81 is not in the sequence.
5^3 + 5^2 + 1 = 151 (prime), so 151 is in the sequence.

Mathematica

Select[Table[n^3+n^2+1, {n, 200}], PrimeQ] (* Harvey P. Dale, Oct 23 2020 *)

Prog

(PARI) for(n=1, 10^3, if(isprime(p=n^3+n^2+1), print1(p, ", "))) \\ Derek Orr, Jan 21 2015

Crossrefs

Cf. A119863 (corresponding k).

Cf. A000040, A098547.

Sequence in context: A194486 A024535 A196235 * A146227 A019007 A147554

Adjacent sequences: A120476 A120477 A120478 * A120480 A120481 A120482

Keyword

easy,nonn

Author

Jonathan Vos Post, Jul 21 2006

Status

approved