A106890 Primes of the form x^2 + xy + 11y^2, with x and y nonnegative.

11, 13, 17, 23, 31, 41, 47, 53, 59, 67, 79, 83, 101, 103, 107, 109, 127, 139, 167, 181, 193, 197, 229, 239, 251, 281, 283, 293, 307, 311, 317, 337, 353, 359, 367, 379, 397, 401, 431, 439, 443, 461, 479, 487, 509, 541, 547, 557, 563, 569, 599, 613, 617, 619

Offset: 1

Author

T. D. Noe, May 09 2005

Keywords

• nonn
• easy

Comments

Discriminant = -43.

Rational primes that decompose in the field Q(sqrt(-43)). - N. J. A. Sloane, Dec 25 2017

Links

• 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)
• Index to sequences related to decomposition of primes in quadratic fields

Programs

Mathematica

QuadPrimes2[1, 1, 11, 10000] (* see A106856 *)