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A141375 Primes of the form x^2+8*x*y-8*y^2 (as well as of the form x^2+10*x*y+y^2). 3
73, 97, 193, 241, 313, 337, 409, 433, 457, 577, 601, 673, 769, 937 (list; graph; refs; listen; history; internal format)
OFFSET

0,1

COMMENTS

Discriminant = 96. Class = 4. 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)=73 because we can write 73=5^2+8*5*2-8*2^2 (or 73=2^2+10*2*3+3^2).

CROSSREFS

Cf. A141373, A141374, A141376 (d=96).

Sequence in context: A168110 A139972 A155573 * A107008 A140621 A143577

Adjacent sequences:  A141372 A141373 A141374 * A141376 A141377 A141378

KEYWORD

nonn

AUTHOR

Laura Caballero Fernandez, Lourdes Calvo Moguer, Maria Josefa Cano Marquez, Oscar Jesus Falcon Ganfornina and Sergio Garrido Morales (oscfalgan(AT)yahoo.es), Jun 28 2008

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Last modified February 15 08:08 EST 2012. Contains 205720 sequences.