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%I #15 Aug 11 2014 22:45:30
%S 5,13,29,37,41,53,61,101,109,113,137,149,157,173,181,197,229,269,277,
%T 293,313,317,349,373,389,397,409,421,457,461,509,521,541,557,569,613,
%U 653,661,677,701,709,733,757,761,773,797,809,821,829,853,857,877,941
%N Primes p such that the non-Pellian equation x^2-2py^2=-1 is solvable.
%C The sequence contains no primes congruent to 3 modulo 4 and all primes congruent to 5 modulo 8.
%H Vincenzo Librandi, <a href="/A133204/b133204.txt">Table of n, a(n) for n = 1..1000</a>
%H H. von Lienen, <a href="http://dx.doi.org/10.1016/0022-314X(78)90003-3">The quadratic form x^2-2py^2</a>, J. Number Theory 10 (1978), 10-15.
%t fQ[n_] := Solve[x^2 + 1 == 2 n*y^2, {x, y}, Integers] != {}; Select[ Prime@ Range@ 160, fQ] (* _Robert G. Wilson v_, Dec 19 2013 *)
%K nonn
%O 1,1
%A _David Brink_, Dec 29 2007
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