A106890 - OEIS

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

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OFFSET

1,1

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

MATHEMATICA

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

CROSSREFS

Sequence in context: A078861 A106891 A191031 * A048058 A048059 A106076

Adjacent sequences: A106887 A106888 A106889 * A106891 A106892 A106893

KEYWORD

nonn,easy

AUTHOR

T. D. Noe, May 09 2005

STATUS

approved