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345•08/01/2026, 18:30•2 min read

Astra Model from OpenAI Solves Ten Complex Open Mathematical Problems

Astra Model from OpenAI Solves Ten Complex Open Mathematical Problems
Executive TL;DR30s read

The Astra model from OpenAI has successfully solved ten complex mathematical problems that remained unproven for decades. This breakthrough showcases the immense potential of the new multi-agent model.

Astra Model from OpenAI Solves Ten Complex Open Mathematical Problems

Most of these problems had remained unproven for decades. The new multi-agent model Astra was able to prove them and formalize the proofs using Lean. This model was presented by Sam Altman this week in Washington, and it will be the first model to go through the new government approval process for release.

Most impressively, the total cost of solving all ten problems was less than $2000 in tokens, according to Sol's estimates. OpenAI has attempted to solve other complex problems, so far without success, but the scaling potential here is enormous.

Blog Post Lean Proof Code

Why it matters

Analysis

This is significant because the success of the Astra model opens new possibilities for automating mathematical proofs, which could greatly impact scientific research and education.

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