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%I #14 Sep 08 2022 08:45:52
%S 17,157,281,4021,8669,10321,14057,16141,37997,58369,71317,78277,80669,
%T 93169,109357,112181,117937,136069,176221,179801,187069,198241,213641,
%U 225569,237821,285517,299281,318137,393977,410117,443369,507697,513761
%N Primes of the form x^2 + 17*y^2, where x and y=x+1 are consecutive natural numbers.
%C a(n) is congruent 1 mod 4.
%H Harvey P. Dale, <a href="/A176622/b176622.txt">Table of n, a(n) for n = 1..1000</a>
%t Select[Table[18x^2+34x+17,{x,0,200}],PrimeQ] (* _Harvey P. Dale_, May 06 2017 *)
%o (Magma)[a: n in [1..250]|IsPrime(a) where a is 18*n^2+34*n+17] // _Vincenzo Librandi_, Dec 04 2010
%Y Cf. A176608, A176616, A176617.
%K nonn
%O 1,1
%A _Giovanni Teofilatto_, Apr 22 2010
%E Constraint y=x+1 added to definition by _R. J. Mathar_, May 04 2010
%E Extended by _Vincenzo Librandi_, Apr 25 2010
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