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A139656
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Primes of the form x^2+312y^2.
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2
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313, 337, 433, 601, 673, 937, 1153, 1249, 1297, 1609, 1777, 1873, 1993, 2089, 2161, 2473, 2521, 2617, 2713, 2833, 2857, 3121, 3169, 3433, 3457, 3769, 3793, 4057, 4177, 4273, 4657, 4729, 4801, 4969, 4993, 5113, 5209, 5281, 5521, 5641, 5737
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OFFSET
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1,1
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COMMENTS
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Discriminant=-1248. See A139643 for more information.
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 1..1000
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FORMULA
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The primes are congruent to {1, 25, 49, 121, 217, 289} (mod 312).
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MATHEMATICA
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QuadPrimes[1, 0, 312, 10000] (* see A106856 *)
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PROG
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(MAGMA) [ p: p in PrimesUpTo(7000) | p mod 312 in {1, 25, 49, 121, 217, 289}]; // Vincenzo Librandi, Jul 29 2012
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CROSSREFS
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Sequence in context: A045275 A097023 A159574 * A061323 A082584 A088282
Adjacent sequences: A139653 A139654 A139655 * A139657 A139658 A139659
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KEYWORD
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nonn,easy
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AUTHOR
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T. D. Noe, Apr 29 2008
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STATUS
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approved
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