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A139843
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Primes of the form 6x^2 + 17y^2.
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3
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17, 23, 41, 71, 113, 167, 233, 311, 401, 431, 449, 479, 503, 521, 617, 641, 719, 743, 809, 839, 857, 881, 887, 911, 929, 983, 1031, 1049, 1151, 1193, 1217, 1289, 1319, 1367, 1433, 1439, 1553, 1559, 1601, 1697, 1847, 2063, 2081, 2111, 2153, 2207
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OFFSET
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1,1
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COMMENTS
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Discriminant = -408. See A139827 for more information.
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LINKS
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FORMULA
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The primes are congruent to {17, 23, 41, 65, 71, 95, 113, 143, 167, 209, 215, 233, 311, 329, 335, 377, 401} (mod 408).
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MATHEMATICA
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QuadPrimes2[6, 0, 17, 10000] (* see A106856 *)
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PROG
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(Magma) [ p: p in PrimesUpTo(3000) | p mod 408 in {17, 23, 41, 65, 71, 95, 113, 143, 167, 209, 215, 233, 311, 329, 335, 377, 401}]; // Vincenzo Librandi, Jul 29 2012
(PARI) list(lim)=my(v=List([17]), s=[23, 41, 65, 71, 95, 113, 143, 167, 209, 215, 233, 311, 329, 335, 377, 401]); forprime(p=23, lim, if(setsearch(s, p%408), 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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