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arXiv · 2604.26429

Solution to the Erdos problem on distinct residues of factorials

Vyacheslav M. Abramov
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Abstract

Paul Erdos posed the following question: Is there a prime number $p>5$ such that the residues of $2!$, $3!$,\ldots, $(p-1)!$ modulo $p$ all are distinct. In this paper, we give the negative answer on this question in a relatively simple way.

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Vyacheslav M. Abramov. 2026-04-29. Solution to the Erdos problem on distinct residues of factorials. https://arxiv.org/abs/2604.26429

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