Unified Formal Solutions to the Millennium Prize Problems

This work presents a unified formal resolution of six Clay Millennium Prize Problems: the Riemann Hypothesis, P ≠ NP, the Navier–Stokes Existence and Smoothness, the Yang–Mills Mass Gap, the Hodge Conjecture, and the Birch–Swinnerton-Dyer Conjecture. The work includes complete LaTeX documentation and formal verification code in Coq and Lean. Author: Assan Ussen (AIVisionGroup)GitHub repository: https://github.com/AIVisionGroup/Millennium-Problems-Solved This work is released under CC BY 4.0 and is intended for open academic use, further verification, and public discussion.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-06-10
DOI
https://doi.org/10.5281/zenodo.15627844
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

Unified Formal Solutions to the Millennium Prize Problems

Zenodo (CERN European Organization for Nuclear Research)
Algebraic Geometry and Number Theory
article

Unified Formal Solutions to the Millennium Prize Problems

article en

Abstract

This work presents a unified formal resolution of six Clay Millennium Prize Problems: the Riemann Hypothesis, P ≠ NP, the Navier–Stokes Existence and Smoothness, the Yang–Mills Mass Gap, the Hodge Conjecture, and the Birch–Swinnerton-Dyer Conjecture. The work includes complete LaTeX documentation and formal verification code in Coq and Lean. Author: Assan Ussen (AIVisionGroup)GitHub repository: https://github.com/AIVisionGroup/Millennium-Problems-Solved This work is released under CC BY 4.0 and is intended for open academic use, further verification, and public discussion.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 46%
Algebraic Geometry and Number Theory
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Unified Formal Solutions to the Millennium Prize Problems · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS