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A139866 Primes of the form 13x^2 + 12xy + 13y^2.

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%I A139866 #19 Sep 08 2022 08:45:34
%S A139866 13,41,89,97,173,181,241,257,269,293,409,433,509,521,601,661,677,773,
%T A139866 797,829,857,941,1021,1097,1153,1181,1193,1237,1249,1321,1361,1433,
%U A139866 1553,1609,1637,1693,1741,1777,1861,1889,2029,2089,2141,2161,2273
%N A139866 Primes of the form 13x^2 + 12xy + 13y^2.
%C A139866 Discriminant = -532. See A139827 for more information.
%H A139866 Vincenzo Librandi and Ray Chandler, <a href="/A139866/b139866.txt">Table of n, a(n) for n = 1..10000</a> [First 1000 terms from Vincenzo Librandi]
%H A139866 N. J. A. Sloane et al., <a href="https://oeis.org/wiki/Binary_Quadratic_Forms_and_OEIS">Binary Quadratic Forms and OEIS</a> (Index to related sequences, programs, references)
%F A139866 The primes are congruent to {13, 33, 41, 69, 89, 97, 117, 129, 145, 173, 181, 185, 241, 257, 265, 269, 293, 297, 325, 341, 369, 409, 433, 489, 493, 509, 521} (mod 532).
%t A139866 Union[QuadPrimes2[13, 12, 13, 10000], QuadPrimes2[13, -12, 13, 10000]] (* see A106856 *)
%o A139866 (Magma) [ p: p in PrimesUpTo(3000) | p mod 532 in {13, 33, 41, 69, 89, 97, 117, 129, 145, 173, 181, 185, 241, 257, 265, 269, 293, 297, 325, 341, 369, 409, 433, 489, 493, 509, 521}]; // _Vincenzo Librandi_, Jul 29 2012
%K A139866 nonn,easy
%O A139866 1,1
%A A139866 _T. D. Noe_, May 02 2008