Zsigmondy's Theorem for Chebyshev polynomials

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