login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A139652 Primes of the form x^2 + 232*y^2. 3

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

%S 233,241,257,281,313,353,401,457,521,593,673,761,857,929,937,953,977,

%T 1009,1049,1097,1153,1193,1217,1289,1321,1553,1601,1657,1753,1889,

%U 1913,2017,2081,2089,2113,2137,2153,2297,2377,2441,2609,2617,2633

%N Primes of the form x^2 + 232*y^2.

%C Discriminant=-928. See A139643 for more information.

%C The primes are congruent to {1, 9, 25, 33, 49, 57, 65, 81, 121, 129, 161, 169, 209, 225} (mod 232).

%H Vincenzo Librandi and Ray Chandler, <a href="/A139652/b139652.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, 232, 10000] (* see A106856 *)

%o (Magma) [ p: p in PrimesUpTo(3000) | p mod 232 in {1, 9, 25, 33, 49, 57, 65, 81, 121, 129, 161, 169, 209, 225}]; // _Vincenzo Librandi_, Jul 28 2012

%o (Magma) k:=232; [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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 9 00:38 EDT 2024. Contains 372341 sequences. (Running on oeis4.)