ROBERT EDWARD GRANT PRESENTS

Toward a Constructive Proof of the Riemann Hypothesis via Quasi Prime Methodology

Research Paper

Toward a Constructive Proof of the Riemann Hypothesis via Quasi Prime Methodology

Abstract

This paper initiates a formal series exploring a constructive proof of the Riemann Hypothesis via the Quasi Prime Methodology (QPM), a novel sieve-based system that classifies numbers as either quasi primes or primes through modular residue exclusion.

We define Quasi Primes as composites that are divisible only by primes excluding 2 and 3 and other quasi primes.

We then demonstrate how QPM can deterministically reveal all primes as constructive residue, and explore its structural parallels to classical sieves such as the Sieve of Eratosthenes.

Through this lens, we propose a framework wherein the quasi prime lattice creates a negative-space filter from which primes emerge in a modularly symmetric, resonance-consistent pattern.

Robert Edward Grant Signature
Toward a Constructive Proof of the Riemann Hypothesis via Quasi Prime Methodology

Resources