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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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified April 14 19:32 EDT 2021. Contains 342951 sequences. (Running on oeis4.)