Astra Model from OpenAI Solves Ten Complex Open Mathematical Problems

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.
Why it matters
AnalysisThis is significant because the success of the Astra model opens new possibilities for automating mathematical proofs, which could greatly impact scientific research and education.
Discuss in community
Share your questions and insights with developers
Related in Ecosystem
Practical guides, core terminology, and agent skills
Four Resume Tips from OpenAI’s Head of Applied AI Development
Wulfie Bain, OpenAI’s head of applied AI development, shared four resume rules: keep it short, remove irrelevant details, highlight outcomes, and lead with the strongest achievements.
AI Radar: GPT-6.1 Terra, Gemini 4 Carbon, Mistral Large 4 and OpenAI/Anthropic pricing changes
A roundup of recent AI news: new LLM releases, OpenAI and Anthropic subscription changes, world models, video generation, and research updates.
GPT-6 Astra: Guide to OpenAI's New Model
Comprehensive overview of OpenAI's flagship GPT-6 Astra: agentic architecture, Computer Use capabilities, software engineering in Codex, cybersecurity benchmarks, prompt engineering tips, and API migration guide.
OpenAI GPT (Flagship Models of the GPT Series)
The primary universal line of large language models from OpenAI (GPT-4, GPT-4o). Optimized for complex text analysis, programming, creativity, and daily intellectual tasks.