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A107007 Primes of the form 3*x^2+8*y^2. 7

%I #46 Jan 11 2023 06:44:07

%S 3,11,59,83,107,131,179,227,251,347,419,443,467,491,563,587,659,683,

%T 827,947,971,1019,1091,1163,1187,1259,1283,1307,1427,1451,1499,1523,

%U 1571,1619,1667,1787,1811,1907,1931,1979,2003,2027,2099,2243,2267

%N Primes of the form 3*x^2+8*y^2.

%C Discriminant=-96.

%C Except for 3, also primes of the forms 8*x^2+8*x*y+11*y^2 and 11*x^2+6*x*y+27*y^2. See A140633. - _T. D. Noe_, May 19 2008

%C Except for the first member, 3, all the members seem to be terms of A123239 which are prime in both k(i) and k(rho). - _A.K. Devaraj_, Nov 24 2009

%H Vincenzo Librandi and Ray Chandler, <a href="/A107007/b107007.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)

%F Except for 3, the terms are congruent to 11 (mod 24). - _T. D. Noe_, May 02 2008

%t QuadPrimes2[3, 0, 8, 10000] (* see A106856 *)

%o (Magma) [3] cat[ p: p in PrimesUpTo(3000) | p mod 24 in {11} ]; // _Vincenzo Librandi_, Jul 23 2012

%Y Cf. A139827.

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 09 2005

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Last modified April 25 01:06 EDT 2024. Contains 371964 sequences. (Running on oeis4.)