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arXiv · 1612.05438

Arithmetic properties of blocks of consecutive integers

Tarlok N. Shorey·Rob Tijdeman
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Abstract

This paper provides a survey of results on the greatest prime factor, the number of distinct prime factors, the greatest squarefree factor and the greatest m-th powerfree part of a block of consecutive integers, both without any assumption and under assumption of the abc-conjecture. Finally we prove that the explicit abc-conjecture implies the Erdős-Woods conjecture for each k>2.

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Tarlok N. Shorey, Rob Tijdeman. 2016-12-16. Arithmetic properties of blocks of consecutive integers. https://doi.org/10.1007/978-3-319-28203-9_27

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