A033222 Primes of form x^2+33*y^2.

37, 97, 157, 181, 229, 313, 397, 421, 433, 577, 661, 709, 757, 829, 1021, 1093, 1153, 1213, 1237, 1321, 1453, 1489, 1549, 1609, 1621, 1741, 1753, 1873, 2017, 2029, 2113, 2137, 2161, 2269, 2281, 2293

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

Magma

[ p: p in PrimesUpTo(3000) | p mod 132 in {1, 25, 37, 49, 97} ]; // Vincenzo Librandi, Jul 20 2012

Mathematica

QuadPrimes2[1, 0, 33, 10000] (* see A106856 *)

Formula

The primes are congruent to {1, 25, 37, 49, 97} (mod 132). - T. D. Noe, Apr 29 2008