A solution to a Paul Erdos problem
Number Theory
2025-05-09 v3 Combinatorics
Abstract
Paul Erdos posed the following question: Is there a prime number such that the residues of , ,\ldots, modulo all are distinct? In this short note, we prove that there are no such prime numbers.
Keywords
Cite
@article{arxiv.2504.19392,
title = {A solution to a Paul Erdos problem},
author = {Vyacheslav M. Abramov},
journal= {arXiv preprint arXiv:2504.19392},
year = {2025}
}
Comments
Dear readers, I need to withdraw this paper since I was shown a counterexample. At this moment I cannot fix an error. I shall return to this question as soon as I find a solution