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A140005 Primes of the form 12x^2+12xy+113y^2. 1

%I

%S 113,137,257,353,617,977,1193,1433,1697,2297,2633,2753,2777,2897,3257,

%T 3617,3833,4073,4217,4337,4673,4937,5153,5273,5393,5417,5657,5897,

%U 6257,6473,6737,6857,6977,7577,7793,8273,8297,8537,9377,9497,9857

%N Primes of the form 12x^2+12xy+113y^2.

%C Discriminant = -5280. See A139827 for more information.

%H Vincenzo Librandi and Ray Chandler, <a href="/A140005/b140005.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 {113, 137, 257, 353, 377, 617, 713, 977, 1193, 1313} (mod 1320).

%t QuadPrimes2[12, -12, 113, 10000] (* see A106856 *)

%o (MAGMA) [p: p in PrimesUpTo(12000) | p mod 1320 in [113, 137, 257, 353, 377, 617, 713, 977, 1193, 1313]]; // _Vincenzo Librandi_, Aug 04 2012

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 02 2008

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Last modified February 17 21:35 EST 2020. Contains 332006 sequences. (Running on oeis4.)