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Primes of the form 8x^2+8xy+13y^2.
1

%I #17 Sep 08 2022 08:45:33

%S 13,29,61,101,109,149,173,197,277,293,349,373,461,541,557,613,677,701,

%T 733,821,853,877,941,997,1069,1117,1229,1381,1429,1493,1597,1613,1669,

%U 1693,1733,1789,1861,1877,1933,1949,1997,2053,2141,2213,2221,2309

%N Primes of the form 8x^2+8xy+13y^2.

%C Discriminant=-352. See A139827 for more information.

%H Vincenzo Librandi and Ray Chandler, <a href="/A139838/b139838.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 {13, 21, 29, 61, 85} (mod 88).

%t QuadPrimes2[8, -8, 13, 10000] (* see A106856 *)

%o (Magma) [ p: p in PrimesUpTo(3000) | p mod 88 in {13, 21, 29, 61, 85}]; // _Vincenzo Librandi_, Jul 29 2012

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 02 2008