cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A139530 Primes of the form 24*k + 13.

This page as a plain text file.
%I A139530 #21 Apr 20 2025 02:27:49
%S A139530 13,37,61,109,157,181,229,277,349,373,397,421,541,613,661,709,733,757,
%T A139530 829,853,877,997,1021,1069,1093,1117,1213,1237,1381,1429,1453,1549,
%U A139530 1597,1621,1669,1693,1741,1789,1861,1933,2029,2053,2221,2269,2293,2341,2389
%N A139530 Primes of the form 24*k + 13.
%C A139530 Primes of the form 4x^2+4xy+13y^2. Discriminant=-192. - _T. D. Noe_, May 02 2008
%C A139530 Also, primes of form u^2+12v^2 with odd v, while A107008 (which is also expressible as x^2+48y^2) has even v. One can transform its form as (2x+y)^2+12y^2 (where y can only be odd), while the second is x^2+12(2y)^2. Both sequences are 1 mod 12 and together they are primes x^2+12y^2 (A068228). [_Tito Piezas III_, Jan 01 2009]
%H A139530 Robert Price, <a href="/A139530/b139530.txt">Table of n, a(n) for n = 1..10000</a>
%H A139530 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 A139530 a = {}; Do[If[PrimeQ[24 n + 13], AppendTo[a, 24 n + 13]], {n, 0, 200}]; a
%t A139530 Select[24Range[0,150]+13,PrimeQ]  (* _Harvey P. Dale_, Mar 11 2011 *)
%Y A139530 Cf. A139827.
%K A139530 nonn
%O A139530 1,1
%A A139530 _Artur Jasinski_, Apr 25 2008