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A139883
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Primes of the form 6x^2+6xy+31y^2.
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2
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31, 43, 67, 103, 151, 211, 283, 367, 463, 571, 691, 739, 751, 811, 823, 859, 919, 967, 991, 1123, 1171, 1279, 1291, 1399, 1447, 1459, 1471, 1483, 1531, 1567, 1627, 1663, 1699, 1783, 1831, 1867, 1879, 1987, 1999, 2083, 2179, 2239, 2311, 2371, 2383
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OFFSET
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1,1
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COMMENTS
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Discriminant=-708. See A139827 for more information.
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LINKS
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FORMULA
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The primes are congruent to {31, 43, 55, 67, 91, 103, 115, 151, 187, 211, 235, 247, 259, 283, 319, 367, 391, 415, 427, 451, 463, 511, 571, 583, 655, 667, 679, 691, 703} (mod 708).
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MATHEMATICA
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QuadPrimes2[6, -6, 31, 10000] (* see A106856 *)
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PROG
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(Magma) [ p: p in PrimesUpTo(4000) | p mod 708 in {31, 43, 55, 67, 91, 103, 115, 151, 187, 211, 235, 247, 259, 283, 319, 367, 391, 415, 427, 451, 463, 511, 571, 583, 655, 667, 679, 691, 703}]; // Vincenzo Librandi, Jul 30 2012
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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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