%I #35 Apr 14 2022 09:41:43
%S 11,1803647,2699538733,30778903,112663560435723374699,554945667652531,
%T 6243610407478181159725577611,67643278270835231300426724641533,
%U 253382315888712050791030544452181354268272663,14710826638296122001733445931451
%N The left Aurifeuillian factor of k^k - 1 for k congruent to 1 (mod 4) and squarefree.
%C The values of k are given by A005117, except for the leading 1.
%C Named after the French mathematician Léon-François-Antoine Aurifeuille (1822-1882). - _Bernard Schott_, Apr 13 2022
%H Richard P. Brent, <a href="http://arxiv.org/abs/1004.5466">On computing factors of cyclotomic polynomials</a>, arXiv:1004.5466 [math.NT], 2010.
%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/AurifeuilleanFactorization.html">Aurifeuillean Factorization</a>.
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Léon-François-Antoine_Aurifeuille">Léon-François-Antoine Aurifeuille</a>.
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Aurifeuillean_factorization">Aurifeuillean factorization</a>.
%e 1803647 is in the sequence because it is an Aurifeuillian factor of 13^13-1.
%Y Cf. A005117, A220983, A220984, A230375, A230377, A230378, A230379.
%K nonn
%O 1,1
%A _Colin Barker_, Oct 17 2013
|