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A230376 The left Aurifeuillian factor of k^k - 1 for k congruent to 1 (mod 4) and squarefree. 3

%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

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Last modified March 29 09:59 EDT 2024. Contains 371268 sequences. (Running on oeis4.)