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A139998
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Primes of the form 31x^2+22xy+31y^2.
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3
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31, 199, 271, 439, 1039, 1231, 1279, 1399, 1879, 1951, 2239, 2551, 2719, 2791, 3079, 3391, 3559, 3631, 3919, 4231, 4591, 4639, 4759, 5431, 5479, 6079, 6151, 6271, 6991, 7159, 7591, 7759, 7951, 8431, 8599, 8839, 9439, 9511, 9631, 9679
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OFFSET
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1,1
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COMMENTS
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Discriminant=-3360. See A139827 for more information.
Also primes of the forms 31x^2+18xy+111y^2 and 31x^2+10xy+55y^2. See A140633. - T. D. Noe, May 19 2008
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LINKS
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FORMULA
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The primes are congruent to {31, 199, 271, 391, 439, 559} (mod 840).
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MATHEMATICA
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Union[QuadPrimes2[31, 22, 31, 10000], QuadPrimes2[31, -22, 31, 10000]] (* see A106856 *)
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PROG
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(Magma) [p: p in PrimesUpTo(12000) | p mod 840 in [31, 199, 271, 391, 439, 559]]; // Vincenzo Librandi, Aug 03 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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