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A107210
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Primes of the form 3x^2 + 31y^2.
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2
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3, 31, 43, 79, 127, 139, 151, 199, 223, 271, 331, 367, 463, 487, 499, 523, 571, 619, 631, 643, 739, 787, 823, 859, 883, 967, 991, 1171, 1231, 1447, 1483, 1531, 1543, 1567, 1579, 1627, 1747, 1759, 1951, 1987, 1999, 2011, 2083, 2131, 2287, 2311
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OFFSET
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1,1
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COMMENTS
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Discriminant = -372. See A107132 for more information.
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LINKS
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FORMULA
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The primes are congruent to {3, 31, 43, 55, 79, 91, 115, 127, 139, 151, 199, 223, 247, 259, 271, 331, 367} (mod 372). - T. D. Noe, May 02 2008
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MATHEMATICA
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QuadPrimes2[3, 0, 31, 10000] (* see A106856 *)
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PROG
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(Magma) [ p: p in PrimesUpTo(4000) | p mod 372 in {3, 31, 43, 55, 79, 91, 115, 127, 139, 151, 199, 223, 247, 259, 271, 331, 367}]; // Vincenzo Librandi, Jul 28 2012
(PARI) list(lim)=my(v=List([3]), s=[31, 43, 55, 79, 91, 115, 127, 139, 151, 199, 223, 247, 259, 271, 331, 367]); forprime(p=2, lim, if(setsearch(s, p%372), listput(v, p))); Vec(v) \\ Charles R Greathouse IV, Feb 10 2017
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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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