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A106864 Primes of the form 2x^2+2xy+3y^2 with x and y nonnegative. 4

%I #26 Aug 05 2014 14:16:29

%S 2,3,7,43,47,83,103,107,163,167,223,263,283,347,367,383,443,467,487,

%T 503,523,547,607,643,683,743,787,823,827,863,883,887,947,967,983,1063,

%U 1087,1123,1223,1303,1307,1367,1423,1427,1447,1483,1487,1523,1583

%N Primes of the form 2x^2+2xy+3y^2 with x and y nonnegative.

%C See A106865 for all primes represented by this form.

%C Discriminant=-20.

%C Union of {2} and primes == 3 or 7 mod 20. - _N. J. A. Sloane_, Sep 04 2012

%D David A. Cox, Primes of the Form x^2 + n y^2, Wiley, 1989. See Eq. (2.22), p. 33. - _N. J. A. Sloane_, Sep 04 2012

%H Vincenzo Librandi and Ray Chandler, <a href="/A106864/b106864.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)

%t QuadPrimes2[2, 2, 3, 10000] (* see A106856 *)

%Y Cf. A106865.

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 09 2005

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Last modified April 25 06:14 EDT 2024. Contains 371964 sequences. (Running on oeis4.)