A033232 - OEIS

%I #30 Jul 08 2025 19:46:33

%S 47,83,191,197,269,439,487,523,619,761,823,907,947,977,1193,1277,1319,

%T 1447,1481,1499,1579,1693,1709,1741,1811,1861,1867,2053,2213,2221,

%U 2273,2339,2351,2447,2539,2777

%N Primes of form x^2+47*y^2.

%C Also primes of the form x^2-xy+12y^2 with x and y nonnegative. - _T. D. Noe_, May 08 2005

%D David A. Cox, "Primes of the Form x^2 + n y^2", Wiley, 1989.

%H Vincenzo Librandi and Ray Chandler, <a href="/A033232/b033232.txt">Table of n, a(n) for n = 1..10000</a> [First 1000 terms from Vincenzo Librandi]

%H Freddy Cachazo, <a href="https://arxiv.org/abs/2104.10628">Diagonally Embedded Sets of (Trop^+ G(2,n))'s in Trop G(2,n): Is There a Critical Value of n?</a>, arXiv:2104.10628 [math.CO], 2021.

%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)

%t QuadPrimes2[1, 0, 47, 10000] (* see A106856 *)

%Y Primes in A243650.

%K nonn,easy

%O 1,1

%A _N. J. A. Sloane_