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.

A197299 The Riemann primes of the theta type and index 3.

This page as a plain text file.
%I A197299 #12 Dec 28 2015 14:01:39
%S A197299 2,3,5,7,13,17,23,31,37,41,43,47,53,59,67,73,83,89,101,103,137,163,
%T A197299 167,179,197,211,223,239,251,277,331,379,397,431,463,467,521,577,593,
%U A197299 601,613,617,719,809,881,919,967,1091,1123,1129,1237,1249,1289
%N A197299 The Riemann primes of the theta type and index 3.
%D A197299 The sequence consists of the prime numbers p that are champions (left to right maxima) of the function |theta(p^3)-p^3|, where theta(p) is the Chebyshev theta function.
%H A197299 Dana Jacobsen, <a href="/A197299/b197299.txt">Table of n, a(n) for n = 1..85</a>
%H A197299 M. Planat and P. Solé, <a href="http://arxiv.org/abs/1109.6489">Efficient prime counting and the Chebyshev primes</a> arXiv:1109.6489 [math.NT]
%o A197299 (Perl) use ntheory ":all"; my($max,$f)=(0); forprimes { $f=abs(chebyshev_theta($_**3)-$_**3); if ($f > $max) { say; $max=$f; } } 1000; # _Dana Jacobsen_, Dec 28 2015
%Y A197299 Cf. A196669, A197187, A197297, A197298, A197300.
%K A197299 nonn
%O A197299 1,1
%A A197299 _Michel Planat_, Oct 13 2011
%E A197299 More terms from _Dana Jacobsen_, Dec 28 2015