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A033210
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Primes of form x^2+13*y^2.
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4
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13, 17, 29, 53, 61, 101, 113, 157, 173, 181, 233, 257, 269, 277, 313, 337, 373, 389, 433, 521, 569, 601, 641, 653, 673, 677, 701, 757, 797, 809, 829, 857, 881, 937, 953, 997, 1013, 1049, 1069, 1093, 1109, 1117
(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.
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FORMULA
| The primes are congruent to {1, 9, 13, 17, 25, 29, 49} (mod 52) - T. D. Noe (noe(AT)sspectra.com), Apr 29 2008
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MATHEMATICA
| Clear[f, lst, p, x, y]; f[x_, y_]:=x^2+13*y^2; lst={}; Do[Do[p=f[x, y]; If[PrimeQ[p]&&p<7194, AppendTo[lst, p]], {y, 0, 6!}], {x, 0, 6!}]; Take[Union[lst], 222] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Aug 04 2009]
QuadPrimes[1, 0, 13, 10000] (* see A106856 *)
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CROSSREFS
| Cf. A139643.
Sequence in context: A174024 A061381 A048520 * A107159 A138375 A180526
Adjacent sequences: A033207 A033208 A033209 * A033211 A033212 A033213
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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