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Search: id:A141375
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| A141375 |
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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). |
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+0
4
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| 73, 97, 193, 241, 313, 337, 409, 433, 457, 577, 601, 673, 769, 937
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OFFSET
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0,1
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COMMENT
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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
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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)=73 because we can write 73=5^2+8*5*2-8*2^2 (or 73=2^2+10*2*3+3^2).
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CROSSREFS
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Cf. A141373, A141374, A141376 (d=96).
Sequence in context: A034848 A139972 A155573 this_sequence A107008 A140621 A143577
Adjacent sequences: A141372 A141373 A141374 this_sequence A141376 A141377 A141378
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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 (oscfalgan(AT)yahoo.es), Jun 28 2008
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