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A107190
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Primes of the form 2x^2 + 39y^2.
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2
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2, 41, 47, 71, 89, 137, 167, 239, 281, 353, 359, 383, 401, 431, 449, 479, 593, 617, 743, 761, 839, 863, 929, 977, 983, 1097, 1103, 1151, 1217, 1289, 1319, 1367, 1409, 1487, 1553, 1601, 1607, 1697, 1721, 1913, 2039, 2087, 2111, 2153, 2273, 2351
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OFFSET
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1,1
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COMMENTS
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Discriminant=-312. See A107132 for more information.
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LINKS
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FORMULA
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The primes are congruent to {2, 41, 47, 71, 89, 119, 137, 161, 167, 215, 239, 281, 305} (mod 312). - T. D. Noe, May 02 2008
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MATHEMATICA
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QuadPrimes2[2, 0, 39, 10000] (* see A106856 *)
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PROG
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(Magma) [ p: p in PrimesUpTo(3000) | p mod 312 in {2, 41, 47, 71, 89, 119, 137, 161, 167, 215, 239, 281, 305} ]; // Vincenzo Librandi, Jul 28 2012
(PARI) list(lim)=my(v=List([2]), s=[41, 47, 71, 89, 119, 137, 161, 167, 215, 239, 281, 305]); forprime(p=41, lim, if(setsearch(s, p%312), 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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