A033250 Primes of form x^2+78*y^2.

79, 103, 127, 199, 313, 337, 367, 433, 439, 601, 607, 673, 727, 751, 823, 919, 937, 991, 1039, 1063, 1153, 1231, 1249, 1297, 1303, 1327, 1447, 1543, 1609, 1663, 1759, 1777, 1873, 1951, 1993, 1999, 2089

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, 78, 10000] (* see A106856 *)

Formula

The primes are congruent to {1, 25, 49, 55, 79, 103, 121, 127, 199, 217, 289, 295} (mod 312). - T. D. Noe, Apr 29 2008