A033225 Primes of form x^2+37*y^2.

37, 41, 53, 73, 101, 137, 149, 157, 173, 181, 197, 229, 233, 269, 293, 317, 337, 349, 373, 397, 433, 509, 521, 593, 601, 613, 617, 641, 673, 677, 733, 761, 773, 821, 877, 881, 929, 937, 941, 953, 1009, 1033

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, 37, 10000] (* see A106856 *)

Formula

Primes congruent to {1, 9, 21, 25, 33, 37, 41, 49, 53, 65, 73, 77, 81, 85, 101, 121, 137, 141, 145} (mod 148). - T. D. Noe, Apr 29 2008