|
| |
|
|
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).
|
|
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
(list; graph; refs; listen; history; internal format)
|
|
|
|
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 and gcd(a,b,c)=1
|
|
|
REFERENCES
| Borevich and Shafaewich, Number Theory.
D. B. Zagier, Zetafunktionen und quadratische Koerper
|
|
|
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: A126100 A009444 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
|
| |
|
|
