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A139659
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Primes of the form x^2 + 357*y^2.
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2
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373, 421, 457, 613, 757, 1033, 1381, 1429, 1453, 1549, 1597, 1789, 1801, 2053, 2269, 2293, 2389, 2473, 2797, 2857, 3061, 3109, 3217, 3229, 3313, 3469, 3613, 3637, 3697, 3889, 4201, 4657, 4813, 4909, 5653, 5737, 5881, 6073, 6133, 6337
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OFFSET
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1,1
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COMMENTS
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Discriminant = -1428. See A139643 for more information.
The primes are congruent to {1, 25, 121, 169, 205, 253, 361, 373, 421, 457, 529, 613, 625, 757, 781, 841, 865, 961, 1033, 1045, 1177, 1345, 1369, 1381} (mod 1428).
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LINKS
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MATHEMATICA
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QuadPrimes2[1, 0, 357, 10000] (* see A106856 *)
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PROG
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(Magma) [ p: p in PrimesUpTo(7000) | p mod 1428 in {1, 25, 121, 169, 205, 253, 361, 373, 421, 457, 529, 613, 625, 757, 781, 841, 865, 961, 1033, 1045, 1177, 1345, 1369, 1381}]; // Vincenzo Librandi, Jul 29 2012
(Magma) k:=357; [p: p in PrimesUpTo(6400) | 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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