A Refinement of the Function $g(m)$ on Grimm Conjecture
Shaohua Zhang
TL;DR
This paper refines the function g(x) related to Grimm's conjecture and improves a classical result by Erdős and Selfridge without relying on Hall's theorem.
Contribution
It introduces a refined version of g(x) and enhances previous results on Grimm's conjecture with a novel approach.
Findings
Refined the function g(x) related to Grimm's conjecture
Improved a result of Erdős and Selfridge
Achieved these improvements without using Hall's theorem
Abstract
In this paper, we refine the function on Grimm's conjecture and improve a result of Erd\"{o}s and Selfridge without using Hall's theorem.
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Taxonomy
TopicsAnalytic Number Theory Research · Advanced Mathematical Identities · Coding theory and cryptography