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A033199
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Primes of form x^2+6*y^2.
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6
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7, 31, 73, 79, 97, 103, 127, 151, 193, 199, 223, 241, 271, 313, 337, 367, 409, 433, 439, 457, 463, 487, 577, 601, 607, 631, 673, 727, 751, 769, 823, 919, 937, 967, 991, 1009, 1033, 1039, 1063, 1087, 1129
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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REFERENCES
| D. Cox, "Primes of Form x^2 + n y^2", Wiley, 1989, p. 36.
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FORMULA
| p = 1, 7 mod 24.
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MATHEMATICA
| Clear[f, lst, p, x, y]; f[x_, y_]:=x^2+6*y^2; lst={}; Do[Do[p=f[x, y]; If[PrimeQ[p]&&p<8210, AppendTo[lst, p]], {y, 0, 3*5!}], {x, 0, 3*5!}]; Take[Union[lst], 250] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Aug 04 2009]
QuadPrimes[1, 0, 6, 10000] (* see A106856 *)
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CROSSREFS
| Cf. A139643.
Sequence in context: A050547 A157914 A090684 * A003550 A107006 A107005
Adjacent sequences: A033196 A033197 A033198 * A033200 A033201 A033202
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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