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A139959 Primes of the form 8x^2+8xy+53y^2. 1

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

%S 53,101,149,293,389,461,509,557,701,773,797,1109,1181,1277,1301,1373,

%T 1613,1709,1733,1973,1997,2141,2333,2381,2549,2741,2789,2837,2909,

%U 2957,3221,3413,3557,3821,4013,4133,4157,4229,4373,4421,4637,4877

%N Primes of the form 8x^2+8xy+53y^2.

%C Discriminant=-1632. See A139827 for more information.

%H Vincenzo Librandi and Ray Chandler, <a href="/A139959/b139959.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 {53, 77, 101, 149, 293, 341, 365, 389} (mod 408).

%t QuadPrimes2[8, -8, 53, 10000] (* see A106856 *)

%o (Magma) [ p: p in PrimesUpTo(5000) | p mod 408 in [53, 77, 101, 149, 293, 341, 365, 389]]; // _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 25 01:06 EDT 2024. Contains 371964 sequences. (Running on oeis4.)