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A140043 Primes of the form 47x^2+38xy+47y^2.

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%I A140043 #17 Sep 08 2022 08:45:34
%S A140043 47,311,383,647,719,839,983,1511,2399,2663,2687,3023,3191,3359,4007,
%T A140043 4079,4679,4871,5039,5087,5351,5591,5879,5927,6263,6359,6719,7703,
%U A140043 7727,8039,8111,8231,8783,9551,9623,9791,9887,10079,10223,10631,11399
%N A140043 Primes of the form 47x^2+38xy+47y^2.
%C A140043 Discriminant=-7392. See A139827 for more information.
%H A140043 Vincenzo Librandi and Ray Chandler, <a href="/A140043/b140043.txt">Table of n, a(n) for n = 1..10000</a> [First 1000 terms from Vincenzo Librandi]
%H A140043 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 A140043 The primes are congruent to {47, 311, 335, 383, 551, 647, 719, 815, 839, 983, 1175, 1343, 1391, 1511, 1655} (mod 1848).
%t A140043 Union[QuadPrimes2[47, 38, 47, 10000], QuadPrimes2[47, -38, 47, 10000]] (* see A106856 *)
%o A140043 (Magma) [ p: p in PrimesUpTo(12000) | p mod 1848 in {47, 311, 335, 383, 551, 647, 719, 815, 839, 983, 1175, 1343, 1391, 1511, 1655} ]; // _Vincenzo Librandi_, Aug 06 2012
%K A140043 nonn,easy
%O A140043 1,1
%A A140043 _T. D. Noe_, May 02 2008