A033246 Primes of form x^2+71*y^2.

71, 107, 293, 509, 643, 647, 739, 971, 1013, 1039, 1123, 1217, 1361, 1367, 1373, 1423, 1663, 1811, 2083, 2099, 2239, 2309, 2351, 2557, 2657, 2677, 2917, 3181, 3343, 3517, 3533, 3539, 3623, 3671, 3803

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Comments

Also primes of the form x^2-xy+18y^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]
• N. J. A. Sloane et al., Binary Quadratic Forms and OEIS (Index to related sequences, programs, references)

Programs

Mathematica

QuadPrimes2[1, 0, 71, 10000] (* see A106856 *)