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Primes of the form 8x^2+8xy+37y^2.
1

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

%S 37,53,197,277,317,373,557,613,653,757,877,1093,1117,1213,1373,1453,

%T 1493,1597,1733,1877,1933,1997,2053,2213,2237,2293,2333,2437,2557,

%U 2797,2837,3413,3557,3613,3637,3677,3733,3917,4013,4253,4397,4517

%N Primes of the form 8x^2+8xy+37y^2.

%C Discriminant=-1120. See A139827 for more information.

%H Vincenzo Librandi and Ray Chandler, <a href="/A139918/b139918.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 {37, 53, 93, 197, 253, 277} (mod 280).

%t QuadPrimes2[8, -8, 37, 10000] (* see A106856 *)

%o (Magma) [ p: p in PrimesUpTo(6000) | p mod 280 in [37, 53, 93, 197, 253, 277]]; // _Vincenzo Librandi_, Aug 01 2012

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 02 2008