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A106890 Primes of the form x^2 + xy + 11y^2, with x and y nonnegative. 3

%I #27 May 24 2022 02:43:04

%S 11,13,17,23,31,41,47,53,59,67,79,83,101,103,107,109,127,139,167,181,

%T 193,197,229,239,251,281,283,293,307,311,317,337,353,359,367,379,397,

%U 401,431,439,443,461,479,487,509,541,547,557,563,569,599,613,617,619

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

%C Discriminant = -43.

%C Rational primes that decompose in the field Q(sqrt(-43)). - _N. J. A. Sloane_, Dec 25 2017

%H Ray Chandler, <a href="/A106890/b106890.txt">Table of n, a(n) for n = 1..10000</a> (first 1000 terms from Vincenzo Librandi)

%H N. J. A. Sloane et al., <a href="https://oeis.org/wiki/Binary_Quadratic_Forms_and_OEIS">Binary Quadratic Forms and OEIS</a> (Index to related sequences, programs, references)

%H <a href="/index/Pri#primes_decomp_of">Index to sequences related to decomposition of primes in quadratic fields</a>

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

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 09 2005

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Last modified September 17 08:52 EDT 2024. Contains 375987 sequences. (Running on oeis4.)