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A139648
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Primes of the form x^2 + 165*y^2.
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3
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181, 229, 421, 661, 709, 829, 1021, 1321, 1489, 1549, 1609, 1621, 1741, 2029, 2161, 2269, 2281, 2341, 2689, 3001, 3061, 3169, 3301, 3469, 3529, 4129, 4261, 4621, 4789, 4801, 4909, 5281, 5449, 5569, 5581, 5641, 5701, 6121, 6229, 6301, 6361
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OFFSET
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1,1
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COMMENTS
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Discriminant = -660.
The primes are congruent to {1, 49, 169, 181, 229, 289, 301, 361, 421, 529} (mod 660).
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LINKS
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MATHEMATICA
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QuadPrimes2[1, 0, 165, 10000] (* see A106856 *)
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PROG
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(Magma) [ p: p in PrimesUpTo(7000) | p mod 660 in {1, 49, 169, 181, 229, 289, 301, 361, 421, 529}]; // Vincenzo Librandi, Jul 28 2012
(Magma) k:=165; [p: p in PrimesUpTo(7000) | NormEquation(k, p) eq true]; // Bruno Berselli, Jun 01 2016
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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