Erdos Problem #347
Erdos Problem #347Statement
A combinatorial problem solved through extensive human-AI collaboration.
About this Problem
Solved through a remarkable months-long collaboration between human mathematicians and multiple AI tools including Aristotle, Claude, Codex, and GPT. A model for future human-AI mathematical partnerships.
AI Contributions
Full solution via human-AI collaboration. Contributors: ebarschkis, van Doorn, Tao, and others.
About the Lean 4 Prover
Lean 4 is a theorem prover and programming language. When a proof compiles in Lean, it is mathematically certain to be correct — the type checker verifies every logical step. This is the gold standard for formal verification.
Our platform uses fal.ai serverless compute to run Lean verification, and Gemini to generate proof strategies that are then formally checked. ShinkaEvolve provides the evolutionary backbone for automated mathematical discovery.
Mathematical Art
Generate a unique AI illustration of this problem using fal.ai FLUX.