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A139828 Primes of the form 6x^2+6xy+7y^2. 1

%I #22 Sep 08 2022 08:45:33

%S 7,19,43,79,127,139,151,211,271,283,307,439,523,547,571,607,739,787,

%T 811,919,967,1051,1063,1231,1327,1399,1447,1459,1471,1531,1579,1627,

%U 1663,1723,1759,1867,1987,1999,2131,2239,2251,2287,2371,2383,2503

%N Primes of the form 6x^2+6xy+7y^2.

%C Discriminant=-132. See A139827 for more information.

%H Vincenzo Librandi and Ray Chandler, <a href="/A139828/b139828.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 {7, 19, 43, 79, 127} (mod 132).

%t QuadPrimes2[6, -6, 7, 10000] (* see A106856 *)

%o (Magma) [ p: p in PrimesUpTo(3000) | p mod 132 in {7, 19, 43, 79, 127}]; // _Vincenzo Librandi_, Jul 29 2012

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 02 2008

%E Corrected and extended b-file - _Ray Chandler_, Jul 29 2014

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Last modified April 24 00:30 EDT 2024. Contains 371917 sequences. (Running on oeis4.)