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A140033 Primes of the form 8x^2+8xy+233y^2. 1

%I #17 Sep 08 2022 08:45:34

%S 233,281,569,809,953,1289,1481,1913,2081,2129,2153,2417,2657,2801,

%T 2969,3137,3329,3593,3761,3929,4001,4649,4817,5441,5849,6113,6353,

%U 6833,7193,7457,7673,8513,8681,9041,9137,9209,9473,9521,10193,10313

%N Primes of the form 8x^2+8xy+233y^2.

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

%H Vincenzo Librandi and Ray Chandler, <a href="/A140033/b140033.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 {65, 233, 281, 305, 569, 809, 953, 1073, 1121, 1289, 1481, 1625, 1649, 1745, 1817} (mod 1848).

%t QuadPrimes2[8, -8, 233, 10000] (* see A106856 *)

%o (Magma) [ p: p in PrimesUpTo(12000) | p mod 1848 in {65, 233, 281, 305, 569, 809, 953, 1073, 1121, 1289, 1481, 1625, 1649, 1745, 1817} ]; // _Vincenzo Librandi_, Aug 06 2012

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 02 2008

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Last modified July 29 21:21 EDT 2024. Contains 374734 sequences. (Running on oeis4.)