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Search: id:A141374
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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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4
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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; listen)
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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.
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EXAMPLE
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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
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Cf. A141373, A141375, A141376 (d=96).
Adjacent sequences: A141371 A141372 A141373 this_sequence A141375 A141376 A141377
Sequence in context: A107151 A117746 A081116 this_sequence A107003 A115706 A031394
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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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