A033232 Primes of form x^2+47*y^2.

47, 83, 191, 197, 269, 439, 487, 523, 619, 761, 823, 907, 947, 977, 1193, 1277, 1319, 1447, 1481, 1499, 1579, 1693, 1709, 1741, 1811, 1861, 1867, 2053, 2213, 2221, 2273, 2339, 2351, 2447, 2539, 2777

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Comments

Also primes of the form x^2-xy+12y^2 with x and y nonnegative. - T. D. Noe, May 08 2005

References

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

Links

• Vincenzo Librandi and Ray Chandler, Table of n, a(n) for n = 1..10000 [First 1000 terms from Vincenzo Librandi]
• Freddy Cachazo, Diagonally Embedded Sets of (Trop^+ G(2,n))'s in Trop G(2,n): Is There a Critical Value of n?, arXiv:2104.10628 [math.CO], 2021.
• N. J. A. Sloane et al., Binary Quadratic Forms and OEIS (Index to related sequences, programs, references)

Crossrefs

Primes in A243650.

Programs

Mathematica

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