A173295 Primes of the form n^2+n+1 or n^2+n+9.

3, 7, 11, 13, 29, 31, 43, 73, 157, 191, 211, 241, 281, 307, 389, 421, 463, 601, 659, 757, 821, 1123, 1483, 1723, 1901, 2459, 2551, 2971, 3089, 3307, 3541, 3907, 4423, 4831, 5113, 5701, 5861, 6007, 6163, 6329, 6481, 7841, 8011, 8191, 9901, 10303, 11131

Offset

1,1

Links

Table of n, a(n) for n=1..47.

Example

a(1)=3 because 1^2+1+1=3 is prime, a(3)=11 because 1^2+1+9=11 is prime.

Mathematica

Union[Select[Flatten[Table[n^2+n+{1, 9}, {n, 200}]], PrimeQ]] (* Harvey P. Dale, Aug 28 2012 *)

Crossrefs

Cf. A002378, A173288.

Sequence in context: A111363 A193258 A114273 * A191040 A074336 A086475

Adjacent sequences: A173292 A173293 A173294 * A173296 A173297 A173298

Keyword

nonn

Author

Juri-Stepan Gerasimov, Feb 15 2010

Extensions

Added 3, removed 133, replaced 607 by 601 - R. J. Mathar, Feb 24 2010

Status

approved