A033236 Primes of form x^2+57*y^2.

61, 73, 157, 229, 277, 313, 349, 397, 457, 541, 577, 613, 709, 733, 757, 769, 853, 937, 997, 1033, 1069, 1201, 1213, 1297, 1429, 1453, 1489, 1597, 1621, 1657, 1669, 1753, 1873, 1993, 2053, 2113, 2137

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• easy

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)

Crossrefs

Cf. A139643.

Programs

Mathematica

QuadPrimes2[1, 0, 57, 10000] (* see A106856 *)
With[{nn=50},Take[Union[Select[#[[1]]+57#[[2]]&/@(Tuples[Range[nn],2]^2), PrimeQ]],nn]] (* Harvey P. Dale, Jun 17 2014 *)

Formula

Primes congruent to {1, 25, 49, 61, 73, 85, 121, 157, 169} (mod 228). - T. D. Noe, Apr 29 2008