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%I #22 Sep 08 2022 08:45:18
%S 3,31,43,79,127,139,151,199,223,271,331,367,463,487,499,523,571,619,
%T 631,643,739,787,823,859,883,967,991,1171,1231,1447,1483,1531,1543,
%U 1567,1579,1627,1747,1759,1951,1987,1999,2011,2083,2131,2287,2311
%N Primes of the form 3x^2 + 31y^2.
%C Discriminant = -372. See A107132 for more information.
%H Vincenzo Librandi and Ray Chandler, <a href="/A107210/b107210.txt">Table of n, a(n) for n = 1..10000</a> [First 1000 terms from Vincenzo Librandi]
%H N. J. A. Sloane et al., <a href="https://oeis.org/wiki/Binary_Quadratic_Forms_and_OEIS">Binary Quadratic Forms and OEIS</a> (Index to related sequences, programs, references)
%F 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
%t QuadPrimes2[3, 0, 31, 10000] (* see A106856 *)
%o (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
%o (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
%Y Cf. A139827.
%K nonn,easy
%O 1,1
%A _T. D. Noe_, May 13 2005
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