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A139967 Primes of the form 11x^2+42y^2. 1

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

%S 11,53,179,317,389,443,653,683,947,1061,1373,1499,1523,1709,1787,1901,

%T 2003,2027,2069,2237,2333,2381,2531,2699,2843,2909,2963,3221,3347,

%U 3371,3389,3413,3557,3677,3851,3917,4013,4019,4139,4211,4229,4349

%N Primes of the form 11x^2+42y^2.

%C Discriminant=-1848. See A139827 for more information.

%H Vincenzo Librandi and Ray Chandler, <a href="/A139967/b139967.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 The primes are congruent to {11, 53, 155, 179, 221, 317, 323, 389, 443, 485, 515, 533, 653, 683, 779, 851, 947, 995, 1037, 1061, 1115, 1325, 1373, 1499, 1523, 1541, 1565, 1709, 1787, 1829, 1835} (mod 1848).

%t QuadPrimes2[11, 0, 42, 10000] (* see A106856 *)

%o (Magma) [ p: p in PrimesUpTo(6000) | p mod 1848 in [11, 53, 155, 179, 221, 317, 323, 389, 443, 485, 515, 533, 653, 683, 779, 851, 947, 995, 1037, 1061, 1115, 1325, 1373, 1499, 1523, 1541, 1565, 1709, 1787, 1829, 1835]]; // _Vincenzo Librandi_, Aug 02 2012

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 02 2008

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Last modified April 30 07:52 EDT 2024. Contains 372127 sequences. (Running on oeis4.)