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Primes of the form 5x^2+48y^2.
2

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

%S 5,53,173,197,293,317,557,653,677,773,797,1013,1277,1373,1493,1613,

%T 1637,1733,1877,1973,1997,2213,2237,2333,2357,2477,2693,2837,2957,

%U 3413,3533,3557,3677,3797,3917,4013,4133,4157,4253,4373,4397,4493

%N Primes of the form 5x^2+48y^2.

%C Discriminant=-960. See A139827 for more information.

%H Vincenzo Librandi and Ray Chandler, <a href="/A139899/b139899.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 Except for 5, the primes are congruent to {53, 77} (mod 120).

%t QuadPrimes2[5, 0, 48, 10000] (* see A106856 *)

%o (Magma) [5] cat [ p: p in PrimesUpTo(6000) | p mod 120 in [53, 77]]; // _Vincenzo Librandi_, Jul 31 2012

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 02 2008