A176622 Primes of the form x^2 + 17*y^2, where x and y=x+1 are consecutive natural numbers.

17, 157, 281, 4021, 8669, 10321, 14057, 16141, 37997, 58369, 71317, 78277, 80669, 93169, 109357, 112181, 117937, 136069, 176221, 179801, 187069, 198241, 213641, 225569, 237821, 285517, 299281, 318137, 393977, 410117, 443369, 507697, 513761

Offset

1,1

Comments

a(n) is congruent 1 mod 4.

Links

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

Mathematica

Select[Table[18x^2+34x+17, {x, 0, 200}], PrimeQ] (* Harvey P. Dale, May 06 2017 *)

Prog

(Magma)[a: n in [1..250]|IsPrime(a) where a is 18*n^2+34*n+17] // Vincenzo Librandi, Dec 04 2010

Crossrefs

Cf. A176608, A176616, A176617.

Sequence in context: A034272 A142087 A176838 * A125380 A126538 A164746

Adjacent sequences: A176619 A176620 A176621 * A176623 A176624 A176625

Keyword

nonn

Author

Giovanni Teofilatto, Apr 22 2010

Extensions

Constraint y=x+1 added to definition by R. J. Mathar, May 04 2010

Extended by Vincenzo Librandi, Apr 25 2010

Status

approved