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A139647
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Primes of the form x^2 + 133*y^2.
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3
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137, 149, 197, 233, 277, 389, 457, 541, 557, 613, 617, 653, 701, 709, 757, 809, 821, 1033, 1061, 1201, 1213, 1289, 1297, 1373, 1429, 1453, 1493, 1597, 1621, 1733, 1873, 1901, 2053, 2069, 2129, 2137, 2153, 2213, 2221, 2297, 2381, 2417, 2437
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OFFSET
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1,1
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COMMENTS
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Discriminant=-532. See A139643 for more information.
The primes are congruent to {1, 9, 25, 81, 85, 93, 121, 137, 149, 169, 177, 197, 225, 233, 253, 277, 289, 305, 309, 365, 389, 429, 457, 473, 501, 505, 529} (mod 532).
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LINKS
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MATHEMATICA
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QuadPrimes2[1, 0, 133, 10000] (* see A106856 *)
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PROG
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(Magma) [ p: p in PrimesUpTo(3000) | p mod 532 in {1, 9, 25, 81, 85, 93, 121, 137, 149, 169, 177, 197, 225, 233, 253, 277, 289, 305, 309, 365, 389, 429, 457, 473, 501, 505, 529}]; // Vincenzo Librandi, Jul 28 2012
(Magma) k:=133; [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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