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Zsigmondy's Theorem for Chebyshev polynomials
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classification
math.NT
keywords
chebyshevpolynomialsconsiderdefineddivisorinftyintegerlist
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abstract
For an integer $a$ consider the sequence $(T_{n}(a)-1)_{n=1}^{\infty}$ 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.
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