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.

A233518 Primes p such that x^x == x (mod p) for some number x with 1 < x < p.

This page as a plain text file.
%I A233518 #10 Feb 19 2014 17:57:08
%S A233518 7,13,17,19,23,29,31,37,41,43,47,61,67,71,73,79,89,97,101,103,109,113,
%T A233518 127,131,137,139,149,151,157,163,167,173,181,191,193,197,199,211,223,
%U A233518 229,233,239,241,251,257,263,271,277,281,283,307,311,313,331,337
%N A233518 Primes p such that x^x == x (mod p) for some number x with 1 < x < p.
%C A233518 Complement of A065296.
%H A233518 T. D. Noe, <a href="/A233518/b233518.txt">Table of n, a(n) for n = 1..1000</a>
%H A233518 Pär Kurlberg, Florian Luca, and Igor Shparlinski, <a href="http://arxiv.org/abs/1402.4464">On the fixed points of the map x -> x^x modulo a prime</a>, arX1v 1402.4464
%t A233518 fQ[p_] := Min[Table[Mod[PowerMod[x, x, p] - x, p], {x, 2, p - 1}]] == 0; Select[Prime[Range[2, 100]], fQ[#] &]
%Y A233518 Cf. A065295, A065296, A233519, A233520.
%K A233518 nonn
%O A233518 1,1
%A A233518 _T. D. Noe_, Feb 18 2014