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arXiv · 2504.19392

A solution to a Paul Erdos problem

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 short note, we prove that there are no such prime numbers.

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Vyacheslav M. Abramov. 2025-05-07. A solution to a Paul Erdos problem. https://arxiv.org/abs/2504.19392

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