Prime divisors of sequences of integers

Xianzu Lin

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arXiv · 1706.09102

Prime divisors of sequences of integers

Xianzu Lin

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Abstract

In this paper, we develop Furstenberg's proof of infinity of primes, and prove several results about prime divisors of sequences of integers, including the celebrated Schur's theorem. In particular, we give a simple proof of a classical result which says that a non-degenerate linear recurrence sequence of integers of order k>1 has infinitely many prime divisors.

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Xianzu Lin. 2017-06-28. Prime divisors of sequences of integers. https://arxiv.org/abs/1706.09102

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