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Search: id:A141776
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| A141776 |
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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). |
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3
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| 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
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OFFSET
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1,1
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COMMENT
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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
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REFERENCES
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Borevich and Shafaewich, Number Theory.
D. B. Zagier, Zetafunktionen und quadratische Koerper
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EXAMPLE
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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)
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CROSSREFS
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Cf. A141777 (d=88).
Adjacent sequences: A141773 A141774 A141775 this_sequence A141777 A141778 A141779
Sequence in context: A020012 A126100 A009444 this_sequence A071698 A089188 A086827
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KEYWORD
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nonn
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AUTHOR
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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
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