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lean-dojo/LeanMillenniumPrizeProblems

Formalization of the Millennium Problems in Lean 4

Why it is useful

LeanMillenniumPrizeProblems is a recent open-source project in Formal Methods. It is included because it has recent repository activity and can support mathematical learning, research, modelling, software development, or AI workflows.

Repository at a glance

  • Owner: lean-dojo
  • Primary language: Lean
  • Latest update: 2026-08-01
  • Stars / forks: 59 / 11
  • License: Apache-2.0
  • Links: No separate project site was listed.

Good starting points

  1. Read the project README and installation instructions.
  2. Try the smallest example before changing parameters or datasets.
  3. Check tests, issues, and release notes before relying on results in teaching or research.
  4. Cite the repository and its license when reusing code or figures.

README snapshot

This repository contains Lean 4 formulations of the seven Millennium Prize Problems described by the Clay Mathematics Institute. It focuses on the problem statements and the mathematics needed to express them—not on claiming solutions. p align="center" img src="millennium_problems.png" alt="The seven Millennium Prize Problems" /p The first command checks the Lean development. The second verifies the local copies of the official Clay PDFs. | Problem | Lean file | Main declaration | Status | |---|---|---|---| | P versus NP | Problems/PVersusNP/Millennium.lean | Millennium.clay_prize_p_versus_np | Open | | Riemann Hypothesis | `Problems/Riem