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A139646
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Primes of the form x^2 + 130*y^2.
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3
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131, 139, 179, 211, 251, 419, 491, 521, 569, 571, 601, 641, 659, 809, 859, 881, 971, 1049, 1091, 1171, 1249, 1291, 1361, 1459, 1481, 1499, 1531, 1609, 1699, 1811, 1889, 1979, 2011, 2081, 2089, 2129, 2131, 2161, 2339, 2441, 2521, 2531, 2539
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OFFSET
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1,1
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COMMENTS
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Discriminant=-520. See A139643 for more information.
The primes are congruent to {1, 9, 49, 51, 81, 121, 129, 131, 139, 179, 209, 211, 251, 259, 289, 321, 329, 339, 361, 419, 441, 451, 459, 491} (mod 520).
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LINKS
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MATHEMATICA
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QuadPrimes2[1, 0, 130, 10000] (* see A106856 *)
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PROG
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(Magma) [ p: p in PrimesUpTo(3000) | p mod 520 in {1, 9, 49, 51, 81, 121, 129, 131, 139, 179, 209, 211, 251, 259, 289, 321, 329, 339, 361, 419, 441, 451, 459, 491}]; // Vincenzo Librandi, Jul 28 2012
(Magma) k:=130; [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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