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A141374
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Primes of the form -4*x^2+4*x*y+5*y^2 (as well as of the form 8*x^2+16*x*y+5*y^2).
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3
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5, 29, 53, 101, 149, 173, 197, 269, 293, 317, 389, 461, 509, 557, 653, 677, 701, 773, 797, 821, 941
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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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
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REFERENCES
| Borevich and Shafaewich, Number Theory.
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EXAMPLE
| a(2)=29 because we can write 29=-4*4^2+4*4*3+5*3^2 (or 29=8*1^2+16*1*1+5*1^2).
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CROSSREFS
| Cf. A141373, A141375, A141376 (d=96).
Sequence in context: A192090 A146829 A201712 * A107003 A147153 A177831
Adjacent sequences: A141371 A141372 A141373 * A141375 A141376 A141377
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KEYWORD
| nonn
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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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