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A141777
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Primes of the form -3*x^2+4*x*y+6*y^2 (as well as of the form 7*x^2+12*x*y+2*y^2).
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2
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2, 7, 13, 29, 61, 79, 101, 109, 127, 149, 151, 167, 173, 197, 239, 263, 271, 277, 293, 349, 359, 373, 431, 439, 461, 479, 503, 541, 557, 607, 613, 677, 701, 733, 743, 821, 853, 877, 887, 919, 941, 967, 997
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| 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
| Borevich and Shafaewich, Number Theory.
D. B. Zagier, Zetafunktionen und quadratische Koerper
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EXAMPLE
| a(2)=7 because we can write 7= -3*1^2+4*1*1+6*1^2 (or 7=7*1^2+12*1*0+2*0^2
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CROSSREFS
| Cf. A141776 (d=88).
Sequence in context: A045377 A180470 A183435 * A127396 A079119 A051748
Adjacent sequences: A141774 A141775 A141776 * A141778 A141779 A141780
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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 (sergarmor(AT)yahoo.es), Jul 04 2008
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