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A139652
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Primes of the form x^2 + 232*y^2.
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3
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233, 241, 257, 281, 313, 353, 401, 457, 521, 593, 673, 761, 857, 929, 937, 953, 977, 1009, 1049, 1097, 1153, 1193, 1217, 1289, 1321, 1553, 1601, 1657, 1753, 1889, 1913, 2017, 2081, 2089, 2113, 2137, 2153, 2297, 2377, 2441, 2609, 2617, 2633
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OFFSET
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1,1
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COMMENTS
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Discriminant=-928. See A139643 for more information.
The primes are congruent to {1, 9, 25, 33, 49, 57, 65, 81, 121, 129, 161, 169, 209, 225} (mod 232).
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LINKS
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MATHEMATICA
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QuadPrimes2[1, 0, 232, 10000] (* see A106856 *)
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PROG
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(Magma) [ p: p in PrimesUpTo(3000) | p mod 232 in {1, 9, 25, 33, 49, 57, 65, 81, 121, 129, 161, 169, 209, 225}]; // Vincenzo Librandi, Jul 28 2012
(Magma) k:=232; [p: p in PrimesUpTo(3000) | 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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