Erdos Problem #205
Erdos Problem #205Statement
A number-theoretic problem resolved with a formal Lean proof by AI.
About this Problem
Fully resolved autonomously by AI with a Lean proof. One of several problems solved in the January 2026 wave of AI mathematical breakthroughs.
AI Contributions
Full solution with Lean proof.
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.