Zsigmondy's Theorem for Chebyshev polynomials

Stefan Barańczuk

Published 2019-09-26Version 1

For every natural number $a>1$ consider the sequence $(T_{n}(a)-1)_{n=1}^{\infty}$ defined by Chebyshev polynomials $T_{n}$. We list all pairs $(n,a)$ for which the term $T_{n}(a)-1$ has no primitive prime divisor.