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A141773
Primes of the form x^2 + 9*x*y - y^2 (as well as of the form 9*x^2 + 11*x*y + y^2).
2
19, 59, 89, 101, 149, 151, 179, 191, 229, 239, 251, 271, 281, 331, 349, 359, 389, 409, 421, 461, 491, 509, 569, 599, 631, 659, 661, 701, 739, 761, 769, 829, 859, 919, 971, 1019, 1021, 1039, 1069, 1109, 1171, 1181, 1249, 1259, 1279, 1291, 1301, 1361, 1381
OFFSET
1,1
COMMENTS
Discriminant = 85. Class = 2. Binary quadratic forms a*x^2 + b*x*y + c*y^2 have discriminant d = b^2 - 4ac.
REFERENCES
Z. I. Borevich and I. R. Shafarevich, Number Theory.
LINKS
N. J. A. Sloane et al., Binary Quadratic Forms and OEIS: Index to related sequences, programs, references. OEIS wiki, June 2014.
D. B. Zagier, Zetafunktionen und quadratische Körper, Springer, 1981.
EXAMPLE
a(1) = 19 because we can write 19 = 1^2 + 9*1*3 - 3^2.
CROSSREFS
Cf. A141772 (d=85).
Sequence in context: A041706 A042619 A141887 * A250024 A031375 A146351
KEYWORD
nonn
AUTHOR
Laura Caballero Fernandez, Lourdes Calvo Moguer, Maria Josefa Cano Marquez, Oscar Jesus Falcon Ganfornina and Sergio Garrido Morales (sergarmor(AT)yahoo.es), Jul 04 2008
EXTENSIONS
More terms from Colin Barker, Apr 04 2015
STATUS
approved