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A139864
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Primes of the form 2x^2 + 2xy + 67y^2.
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2
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2, 67, 71, 79, 107, 127, 151, 179, 211, 331, 379, 431, 487, 547, 599, 659, 683, 743, 751, 827, 863, 907, 911, 991, 1019, 1171, 1283, 1367, 1439, 1471, 1523, 1579, 1663, 1667, 1723, 1747, 2003, 2027, 2083, 2111, 2143, 2179, 2207, 2311, 2339, 2347
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OFFSET
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1,1
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COMMENTS
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Discriminant = -532. See A139827 for more information.
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LINKS
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FORMULA
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The primes are congruent to {2, 15, 51, 67, 71, 79, 107, 127, 135, 151, 155, 179, 183, 211, 219, 295, 303, 319, 331, 375, 379, 407, 431, 459, 471, 487, 515, 527} (mod 532).
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MATHEMATICA
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QuadPrimes2[2, -2, 67, 10000] (* see A106856 *)
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PROG
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(Magma) [ p: p in PrimesUpTo(3000) | p mod 532 in {2, 15, 51, 67, 71, 79, 107, 127, 135, 151, 155, 179, 183, 211, 219, 295, 303, 319, 331, 375, 379, 407, 431, 459, 471, 487, 515, 527}]; // Vincenzo Librandi, Jul 29 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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