A141776 Primes of the form 3*x^2 + 4*x*y - 6*y^2 (as well as of the form 3*x^2 + 10*x*y + y^2).

3, 11, 59, 67, 89, 97, 113, 137, 163, 179, 251, 257, 313, 331, 353, 379, 401, 419, 433, 443, 449, 467, 499, 521, 577, 587, 617, 619, 641, 643, 683, 691, 859, 881, 883, 907, 929, 947, 971, 977, 1049, 1123, 1153, 1171, 1193, 1259, 1291, 1307, 1321, 1409, 1433

Offset

1,1

Comments

Discriminant = 88. 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

Table of n, a(n) for n=1..51.

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)=3 because we can write 3=3*1^2+4*1*0-6*0^2 (or 3=3*1^2+10*1*0+0^2).

Crossrefs

Cf. A141777 (d=88).

Sequence in context: A009444 A305990 A168325 * A071698 A089188 A086827

Adjacent sequences: A141773 A141774 A141775 * A141777 A141778 A141779

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 05 2015

Status

approved