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A107134 Primes of the form x^2+28y^2. 2

%I #21 Sep 08 2022 08:45:18

%S 29,37,53,109,113,137,149,193,197,233,277,281,317,337,373,389,401,421,

%T 449,457,541,557,569,613,617,641,653,673,701,709,757,809,821,877,953,

%U 977,1009,1033,1061,1093,1117,1129,1201,1213,1229,1289,1297,1373,1381

%N Primes of the form x^2+28y^2.

%C Discriminant=-112. See A107132 for more information.

%H Vincenzo Librandi and Ray Chandler, <a href="/A107134/b107134.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 {1, 9, 25} (mod 28). - _T. D. Noe_, Apr 29 2008

%t QuadPrimes2[1, 0, 28, 10000] (* see A106856 *)

%o (Magma) [ p: p in PrimesUpTo(2000) | p mod 28 in {1, 9, 25} ]; // _Vincenzo Librandi_, Jul 23 2012

%Y Cf. A139643.

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 13 2005

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Last modified September 6 17:04 EDT 2024. Contains 375715 sequences. (Running on oeis4.)