We Have Achieved a Mathematical Proof of the Non-Randomness of Prime Numbers and We Have Determined How They Are Distributed and the Pattern They Follow

> This research presents a mathematical proof that prime numbers are not random. We introduce three new laws: The Reduction Law (digital root 1,2,4,5,7,8), the Flipping Law (mirror of 18), and the Cumulative Gap Law P(n+1) = P(n) + P(n-1) - P(n-2) + E(n) where E(n) belongs to {0, ±2, ±4, -6}.> The author demonstrates that prime gaps follow a predictable pattern based on reduction. A predictive algorithm is disclosed in the attached PDF.> Author: Ahmed Boutazrot, Independent Researcher, Morocco.