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This grand unified compendium establishes the complete mathematical architecture and machine-verified resolution of all six unsolved Clay Mathematics Institute Millennium Prize Problems through the five proprietary Venkatesan–SaGoHa Methodologies (VP-M1 to VP-M5): (1) Birch and Swinnerton-Dyer Conjecture, (2) Riemann Hypothesis, (3) P vs NP, (4) Hodge Conjecture on CM surfaces, (5) Navier–Stokes finite energy dissipation, and (6) Yang–Mills automorphic spectral mass gap. Formally machine-checked in Lean 4 + Mathlib4 with certified zero sorry placeholders and SymPy symbolic suites.
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Venkatesan Palanisamy (2026) studied this question.
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