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A139657
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Primes of the form x^2 + 330*y^2.
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2
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331, 379, 499, 619, 691, 859, 1171, 1291, 1321, 1489, 1609, 1699, 2011, 2161, 2179, 2281, 2539, 2689, 2731, 2971, 3001, 3019, 3169, 3259, 3331, 3499, 3529, 3931, 4051, 4129, 4339, 4651, 4801, 5179, 5281, 5449, 5569, 5641, 5659, 5779, 6121
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OFFSET
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1,1
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COMMENTS
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Discriminant=-1320. See A139643 for more information.
The primes are congruent to {1, 49, 91, 169, 289, 331, 361, 379, 499, 529, 619, 691, 841, 859, 889, 961, 1081, 1171, 1219, 1291} (mod 1320).
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LINKS
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MATHEMATICA
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QuadPrimes2[1, 0, 330, 10000] (* see A106856 *)
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PROG
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(Magma) [ p: p in PrimesUpTo(7000) | p mod 1320 in {1, 49, 91, 169, 289, 331, 361, 379, 499, 529, 619, 691, 841, 859, 889, 961, 1081, 1171, 1219, 1291}]; // Vincenzo Librandi, Jul 29 2012
(Magma) k:=330; [p: p in PrimesUpTo(6200) | 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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