Rule for Predicting Prime Numbers

A Deterministic Rule for Prime Number Prediction Using Cyclic Quantization Abstract: This paper presents a novel deterministic method for predicting prime numbers using cyclic quantization. Unlike traditional approaches based on the Riemann Zeta function and complex analysis, this method demonstrates that prime numbers emerge naturally from a structured, modular space. By iteratively reducing numbers using prime number differences and analyzing their resonance properties, a predictable pattern is revealed. The core result shows that excluding the final correction step in the iterative process leads to a 100% accurate classification of prime numbers. This discovery suggests that primes are not distributed randomly but follow a quantizable cyclic order, providing a direct alternative to the Riemann Hypothesis. Full Work: https://doi.org/10.5281/zenodo.14853309 Contact: [email protected] This work is protected under intellectual property laws. Any commercial use, reproduction, modification, or distribution of this material requires prior written permission from the author.