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A140034 Primes of the form 11x^2+168y^2. 1

%I #16 Sep 08 2022 08:45:34

%S 11,179,443,683,947,1499,1523,1787,2003,2027,2531,2699,2843,2963,3347,

%T 3371,3851,4019,4139,4211,4547,4643,4691,5483,5531,5867,5987,6323,

%U 6491,6659,7043,7331,7547,7907,8171,8243,8387,9227,9419,9923,10091

%N Primes of the form 11x^2+168y^2.

%C Discriminant=-7392. See A139827 for more information.

%H Vincenzo Librandi and Ray Chandler, <a href="/A140034/b140034.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 11, the primes are congruent to {155, 179, 323, 443, 515, 683, 779, 851, 947, 995, 1115, 1499, 1523, 1787, 1835} (mod 1848).

%t QuadPrimes2[11, 0, 168, 10000] (* see A106856 *)

%o (Magma) [11] cat [ p: p in PrimesUpTo(12000) | p mod 1848 in {155, 179, 323, 443, 515, 683, 779, 851, 947, 995, 1115, 1499, 1523, 1787, 1835} ]; // _Vincenzo Librandi_, Aug 06 2012

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 02 2008

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Last modified April 28 04:56 EDT 2024. Contains 372020 sequences. (Running on oeis4.)