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

Author

Giovanni Teofilatto, Apr 22 2010

Keywords

• nonn

Comments

a(n) is congruent 1 mod 4.

Links

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

Crossrefs

Cf. A176608, A176616, A176617.

Programs

Magma

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

Mathematica

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

Extensions

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

Extended by Vincenzo Librandi, Apr 25 2010