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Search: id:A033222
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| A033222 |
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Primes of form x^2+33*y^2. |
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+0
5
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| 37, 97, 157, 181, 229, 313, 397, 421, 433, 577, 661, 709, 757, 829, 1021, 1093, 1153, 1213, 1237, 1321, 1453, 1489, 1549, 1609, 1621, 1741, 1753, 1873, 2017, 2029, 2113, 2137, 2161, 2269, 2281, 2293
(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, 25, 37, 49, 97} (mod 132). - 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+33*y^2; lst={}; Do[Do[p=f[x, y]; If[PrimeQ[p]&&p<8234, AppendTo[lst, p]], {y, 0, 6!}], {x, 0, 6!}]; Take[Union[lst], 5! ] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Aug 05 2009]
QuadPrimes[1, 0, 33, 10000] (* see A106856 *)
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CROSSREFS
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Cf. A139643.
Sequence in context: A132360 A117854 A145480 this_sequence A098025 A142793 A139939
Adjacent sequences: A033219 A033220 A033221 this_sequence A033223 A033224 A033225
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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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