A solution to a Paul Erdos problem

2025/04/27 by Vyacheslav M. Abramov, Abramov, Vyacheslav M.
Mathematics · #History and Theory of Mathematics #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.2504.19392

Abstract

Paul Erdos posed the following question: Is there a prime number p>5 such that the residues of 2!, 3!,…, (p-1)! modulo p all are distinct? In this short note, we prove that there are no such prime numbers.

Citations

• There are no socialist primes less than 10⁹

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