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Search: id:A106865
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| A106865 |
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Primes of the form 2x^2-2xy+3y^2, with x and y nonnegative. |
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+0
5
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| 2, 3, 7, 23, 43, 47, 67, 83, 103, 107, 127, 163, 167, 223, 227, 263, 283, 307, 347, 367, 383, 443, 463, 467, 487, 503, 523, 547, 563, 587, 607, 643, 647, 683, 727, 743, 787, 823, 827, 863, 883, 887, 907, 947, 967, 983, 1063, 1087, 1103, 1123, 1163, 1187
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Discriminant=-20. See A106856 for more information.
Primes congruent to 2,3,7 modulo 20. - Michael Somos Aug 13 2006
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MATHEMATICA
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f[x_, y_]:=2*x^2+2*x*y+3*y^2; lst={}; Do[Do[p=f[x, y]; If[PrimeQ[p], AppendTo[lst, p]], {y, -5!, 6!}], {x, -5!, 6!}]; Take[Union[lst], 5! ] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jul 06 2009]
QuadPrimes[2, -2, 3, 10000] (* see A106856 *)
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CROSSREFS
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For n>1, a(n) = A122870[n-1].
Sequence in context: A059661 A072686 A002230 this_sequence A000057 A037231 A082449
Adjacent sequences: A106862 A106863 A106864 this_sequence A106866 A106867 A106868
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KEYWORD
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nonn,easy
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AUTHOR
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T. D. Noe (noe(AT)sspectra.com), May 09 2005
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