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

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

Keywords

• nonn

Comments

Discriminant = 88. Class = 2. Binary quadratic forms a*x^2 + b*x*y + c*y^2 have discriminant d = b^2 - 4ac.

Examples

			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).
		

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.

Crossrefs

Cf. A141777 (d=88).

Extensions

More terms from Colin Barker, Apr 05 2015