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A230377
The left Aurifeuillian factor of k^k + 1 for k congruent to 0, 2 or 3 (mod 4) and squarefree.
3
1, 1, 13, 113, 3541, 58367, 2826601, 19231, 113631466919, 9617835527609, 348275601426959, 35522826680397941, 241498479121, 8403855868042458448127, 1161044975606998832441701, 1272844589592126671, 10128165505710094110937686497, 4612290807753604561
OFFSET
1,3
COMMENTS
The values of k are given by A230375.
Named after the French mathematician Léon-François-Antoine Aurifeuille (1822-1882). - Bernard Schott, Apr 25 2022
LINKS
Richard P. Brent, On computing factors of cyclotomic polynomials, arXiv:1004.5466 [math.NT], 2010.
Eric Weisstein's World of Mathematics, Aurifeuillean Factorization.
EXAMPLE
58367 is in the sequence because it is an Aurifeuillian factor of 11^11+1.
KEYWORD
nonn
AUTHOR
Colin Barker, Oct 17 2013
STATUS
approved