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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, 1049, 1123, 1153, 1171, 1193, 1259, 1291, 1307, 1321, 1409, 1433 (list; graph; refs; listen; history; text; 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.

LINKS

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

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

EXTENSIONS

More terms from Colin Barker, Apr 05 2015

STATUS

approved

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Last modified September 24 22:31 EDT 2017. Contains 292441 sequences.