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A139646 Primes of the form x^2 + 130*y^2. 3

%I #20 Sep 08 2022 08:45:33

%S 131,139,179,211,251,419,491,521,569,571,601,641,659,809,859,881,971,

%T 1049,1091,1171,1249,1291,1361,1459,1481,1499,1531,1609,1699,1811,

%U 1889,1979,2011,2081,2089,2129,2131,2161,2339,2441,2521,2531,2539

%N Primes of the form x^2 + 130*y^2.

%C Discriminant=-520. See A139643 for more information.

%C The primes are congruent to {1, 9, 49, 51, 81, 121, 129, 131, 139, 179, 209, 211, 251, 259, 289, 321, 329, 339, 361, 419, 441, 451, 459, 491} (mod 520).

%H Vincenzo Librandi and Ray Chandler, <a href="/A139646/b139646.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)

%t QuadPrimes2[1, 0, 130, 10000] (* see A106856 *)

%o (Magma) [ p: p in PrimesUpTo(3000) | p mod 520 in {1, 9, 49, 51, 81, 121, 129, 131, 139, 179, 209, 211, 251, 259, 289, 321, 329, 339, 361, 419, 441, 451, 459, 491}]; // _Vincenzo Librandi_, Jul 28 2012

%o (Magma) k:=130; [p: p in PrimesUpTo(3000) | NormEquation(k, p) eq true]; // _Bruno Berselli_, Jun 01 2016

%K nonn,easy

%O 1,1

%A _T. D. Noe_, Apr 29 2008

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Last modified March 28 12:59 EDT 2024. Contains 371254 sequences. (Running on oeis4.)