The academic paper outlines an "Assume-and-Verify" strategy, a computational methodology for empirically tackling the six unsolved Clay Mathematics Institute's Millennium Prize Problems. Developed by Marco Saba and Grok 4 (xAI), this proof-by-refutation framework involves assuming a conjecture's truth or falsity, deriving testable predictions, and validating them using software tools and algorithms. The source provides specific experimental designs and Python code examples for each problem, including the Riemann Hypothesis, P vs. NP, and the Navier-Stokes Equations, utilizing libraries like sympy and pysat. While the methodology does not yield formal proofs, it serves to build empirical confidence, uncover potential counterexamples, and guide theoretical research through rapid, scalable computational checks. Ultimately, the paper argues that this computational mathematics approach accelerates discovery and democratizes exploration of these profoundly difficult problems.