%I #13 Feb 18 2022 15:40:41
%S 3,11,17,23,29,53,83,89,137,167,179,197,239,251,263,269,347,353,383,
%T 389,401,449,461,491,509,557,569,587,641,647,677,719,743,761,773,797,
%U 809,821,827,863,881,911,929,941,947,953,983,1013,1019,1049,1091,1097
%N Primes of the form -x^2+9*x*y+3*y^2 (as well as of the form 11*x^2+15*x*y+3*y^2).
%C Discriminant = 93. Class = 2. Binary quadratic forms a*x^2 + b*x*y + c*y^2 have discriminant d = b^2 - 4ac.
%D Z. I. Borevich and I. R. Shafarevich, Number Theory.
%H N. J. A. Sloane et al., <a href="/wiki/Binary_Quadratic_Forms_and_OEIS">Binary Quadratic Forms and OEIS</a>: Index to related sequences, programs, references. OEIS wiki, June 2014.
%H D. B. Zagier, <a href="https://doi.org/10.1007/978-3-642-61829-1">Zetafunktionen und quadratische Körper</a>, Springer, 1981.
%e a(5) = 29 because we can write 29 = -1^2 + 9*1*2 + 3*2^2 (or 29 = 11*1^2 + 15*1*1 + 3*1^2).
%Y Cf. A141338 (d=93).
%K nonn
%O 1,1
%A Laura Caballero Fernandez, Lourdes Calvo Moguer, Maria Josefa Cano Marquez, Oscar Jesus Falcon Ganfornina and Sergio Garrido Morales (oscfalgan(AT)yahoo.es), Jun 25 2008
%E More terms from _Colin Barker_, Apr 05 2015
|