Browsing University of Waterloo by Subject "primitive divisor"
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Lehmer Numbers with at Least 2 Primitive Divisors
(University of Waterloo, 2007-10-24)In 1878, Lucas \cite{lucas} investigated the sequences $(\ell_n)_{n=0}^\infty$ where $$\ell_n=\frac{\alpha^n-\beta^n}{\alpha-\beta},$$ $\alpha \beta$ and $\alpha+\beta$ are coprime integers, and where $\beta/\alpha$ is ...