

A176622


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


1



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
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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



