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A139647 Primes of the form x^2 + 133*y^2. 3

%I

%S 137,149,197,233,277,389,457,541,557,613,617,653,701,709,757,809,821,

%T 1033,1061,1201,1213,1289,1297,1373,1429,1453,1493,1597,1621,1733,

%U 1873,1901,2053,2069,2129,2137,2153,2213,2221,2297,2381,2417,2437

%N Primes of the form x^2 + 133*y^2.

%C Discriminant=-532. See A139643 for more information.

%C The primes are congruent to {1, 9, 25, 81, 85, 93, 121, 137, 149, 169, 177, 197, 225, 233, 253, 277, 289, 305, 309, 365, 389, 429, 457, 473, 501, 505, 529} (mod 532).

%H Vincenzo Librandi and Ray Chandler, <a href="/A139647/b139647.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, 133, 10000] (* see A106856 *)

%o (MAGMA) [ p: p in PrimesUpTo(3000) | p mod 532 in {1, 9, 25, 81, 85, 93, 121, 137, 149, 169, 177, 197, 225, 233, 253, 277, 289, 305, 309, 365, 389, 429, 457, 473, 501, 505, 529}]; // _Vincenzo Librandi_, Jul 28 2012

%o (MAGMA) k:=133; [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 November 12 22:10 EST 2019. Contains 329079 sequences. (Running on oeis4.)