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A139658
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Primes of the form x^2 + 345*y^2.
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2
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349, 409, 541, 601, 829, 1021, 1129, 1381, 1429, 1549, 1669, 1741, 1789, 2221, 2281, 2341, 2749, 3049, 3061, 3109, 3121, 3169, 3229, 3301, 3361, 3709, 3889, 4129, 4261, 4441, 4549, 4861, 4969, 5101, 5521, 5569, 5641, 5689, 5821, 5869
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OFFSET
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1,1
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COMMENTS
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Discriminant = -1380. See A139643 for more information.
The primes are congruent to {1, 49, 121, 169, 289, 301, 349, 361, 409, 469, 541, 601, 721, 829, 841, 901, 949, 961, 1021, 1129, 1189, 1369} (mod 1380).
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LINKS
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MATHEMATICA
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QuadPrimes2[1, 0, 345, 10000] (* see A106856 *)
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PROG
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(Magma) [ p: p in PrimesUpTo(7000) | p mod 1380 in {1, 49, 121, 169, 289, 301, 349, 361, 409, 469, 541, 601, 721, 829, 841, 901, 949, 961, 1021, 1129, 1189, 1369}]; // Vincenzo Librandi, Jul 29 2012
(Magma) k:=345; [p: p in PrimesUpTo(6000) | 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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