google-deepmind/formal-conjectures resource

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1221 stars · 438 forks observed · 2026-09-03

What it is AI-extracted, prompt v1, taxonomy v1, 2026-08-30, confidence not recorded

A curated collection of formalized statements of open mathematical conjectures written in Lean 4 using Mathlib, maintained by Google DeepMind. It provides thousands of precisely stated conjectures (e.g., from Erdős problems, Millennium Prize Problems, OEIS) intended as benchmarks for automated theorem provers and as a resource for the formal mathematics community.

Use cases

• benchmark automated theorem provers on open conjectures
• find formal Lean statements of famous unsolved math problems
• clarify the precise meaning of a conjecture through formalization
• identify missing Mathlib definitions to contribute
• train or evaluate AI systems on formal mathematics tasks
• browse conjectures by subject area or source

When to choose

• you need machine-checkable statements of open mathematical conjectures in Lean 4
• you are building or evaluating automated theorem proving or formalization tools
• you want to contribute formalizations to the Lean/Mathlib ecosystem
• you need a dataset of formal math problem statements for AI research

When to avoid

• you need proved theorems rather than unproven conjecture statements
• you want an interactive theorem prover or proof assistant itself (use Lean/Mathlib)
• you need informal, human-readable problem collections without formalization
• your work does not involve Lean 4 or formal mathematics

Facets

dataset · maturity active

machine-learning documentation developer-tools mathematics education artificial-intelligence cross-platform lean4 formal-mathematics mathlib conjectures theorem-proving benchmark automated-theorem-proving algorithms

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markdown · JSON · MCP: product_card(name="google-deepmind/formal-conjectures")