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A107138
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Primes of the form 3x^2 + 11y^2.
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2
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3, 11, 23, 47, 59, 71, 179, 191, 251, 311, 383, 419, 443, 467, 587, 599, 647, 683, 719, 839, 863, 911, 947, 971, 983, 1103, 1259, 1307, 1367, 1439, 1499, 1511, 1523, 1571, 1607, 1787, 1871, 1907, 2003, 2027, 2039, 2099, 2267, 2399, 2423, 2447, 2531
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OFFSET
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1,1
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COMMENTS
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Discriminant = -132. 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, 11, 23, 47, 59, 71, 119} (mod 132). - T. D. Noe, May 02 2008
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MATHEMATICA
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QuadPrimes2[3, 0, 11, 10000] (* see A106856 *)
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PROG
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(Magma) [ p: p in PrimesUpTo(3000) | p mod 132 in {3, 11, 23, 47, 59, 71, 119} ]; // Vincenzo Librandi, Jul 24 2012
(PARI) list(lim)=my(v=List([3]), s=[11, 23, 47, 59, 71, 119]); forprime(p=11, lim, if(setsearch(s, p%132), listput(v, p))); Vec(v) \\ Charles R Greathouse IV, Feb 09 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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