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Search: id:A033225
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| A033225 |
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Primes of form x^2+37*y^2. |
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+0
5
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| 37, 41, 53, 73, 101, 137, 149, 157, 173, 181, 197, 229, 233, 269, 293, 317, 337, 349, 373, 397, 433, 509, 521, 593, 601, 613, 617, 641, 673, 677, 733, 761, 773, 821, 877, 881, 929, 937, 941, 953, 1009, 1033
(list; graph; listen)
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OFFSET
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1,1
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REFERENCES
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D. Cox, "Primes of Form x^2 + n y^2", Wiley, 1989.
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FORMULA
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The primes are congruent to {1, 9, 21, 25, 33, 37, 41, 49, 53, 65, 73, 77, 81, 85, 101, 121, 137, 141, 145} (mod 148). - T. D. Noe (noe(AT)sspectra.com), Apr 29 2008
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MATHEMATICA
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Clear[f, lst, p, x, y]; f[x_, y_]:=x^2+37*y^2; lst={}; Do[Do[p=f[x, y]; If[PrimeQ[p]&&p<7854, AppendTo[lst, p]], {y, 0, 6!}], {x, 0, 6!}]; Take[Union[lst], 250] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Aug 05 2009]
QuadPrimes[1, 0, 37, 10000] (* see A106856 *)
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CROSSREFS
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Cf. A139643.
Sequence in context: A100722 A093690 A090263 this_sequence A073686 A155849 A110563
Adjacent sequences: A033222 A033223 A033224 this_sequence A033226 A033227 A033228
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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