关于阶乘剩余数 distinct 问题的 Erdos 问题解答
数论
2026-05-28 v3 组合数学
摘要
Paul Erdos 提出了以下问题：是否存在一个大于 5 的素数 ，使得 , ,\ldots, 对 的剩余数全部互不相同。本短文以一种初等的方式给出该问题的否定答案。
引用
@article{arxiv.2604.26429,
title = {Solution to the Erdos problem on distinct residues of factorials},
author = {Vyacheslav M. Abramov},
journal= {arXiv preprint arXiv:2604.26429},
year = {2026}
}
备注
9 pages. The presentation is shortened; unnecessary things are removed. Also, we added some small details that made things clearer. In general, the proof is the same as in the previous version