Ordinality and Riemann Hypothesis I

TL;DR

This paper proposes a new sufficient condition for the Riemann hypothesis based on a specific ordering of finite products of distinct odd primes, offering a novel approach to this longstanding problem.

Contribution

It introduces a unique ordering criterion on products of odd primes that, if satisfied, guarantees the Riemann hypothesis.

Findings

Establishes a sufficient condition for RH based on prime product ordering

Connects prime product orderings to the truth of RH

Provides a new perspective on the structure underlying RH

Abstract

We present a sufficient condition for the Riemann hypothesis. This condition is the existence of a special ordering on the set of finite products of distinct odd primes.