A139489 Primes of the form x^2+101y^2.

101, 137, 677, 1009, 1493, 1693, 1697, 1933, 3137, 3613, 3637, 3701, 3821, 4217, 4261, 4273, 4289, 4373, 4457, 4597, 4861, 5273, 5441, 5849, 6029, 6037, 6473, 6661, 6689, 7193, 7253, 7309, 8377, 8581, 8609, 8677, 9337, 9781, 10133, 10181, 10433

Offset: 1

Author

Artur Jasinski, Apr 24 2008

Keywords

• nonn

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-A139668.

See "Binary Quadratic Forms and OEIS" link for list of sequences of primes of the form x^2+ny^2.

Programs

Mathematica

a = {}; w = 101; Do[Do[If[PrimeQ[n^2 + w*m^2], AppendTo[a, n^2 + w*m^2]], {n, 1, 700}], {m, 1, 200}]; Union[a]
QuadPrimes2[1,0,101,11000] (* see A106856 *)

Extensions

101 term prepended by T. D. Noe, Nov 05 2009