OpenAI Astra Solves Ten Decades-Old Math Problems for $2,000
OpenAI's AI model Astra has solved ten decades-old mathematical problems at an estimated cost of $2,000. The solutions have been published on GitHub with machine-verifiable proofs in the Lean programming language.

What happened?
OpenAI's AI model Astra has successfully solved ten complex and decades-old mathematical problems at a total cost of approximately $2,000. The solutions cover areas such as group theory and high-dimensional geometry. All solutions have been provided with machine-verifiable proofs published in the Lean programming language on GitHub.
Key facts
| AI-modell | OpenAI Astra |
|---|---|
| Antal lösta problem | 10 stycken |
| Beräknad beräkningskostnad | 2 000 USD |
| Verifieringsspråk | Lean (på Github) |
Why it matters
The use of the formal language Lean allows for proofs to be verified directly and automatically without the need for traditional, time-consuming peer review. This changes the conditions for how theoretical results in mathematics and computer science can be validated and disseminated.
Who is affected?
The development primarily affects researchers in mathematics and computer science, as well as developers of AI systems for formal verification. The ability for machine-based verification means that academic review processes for theoretical research papers could be significantly streamlined.
Impact on the EU
The results and proof code have been published openly on GitHub in the Lean programming language. The solutions and verification methods are thus immediately available to researchers and developers within the EU and globally without regional restrictions.
What else you should know
Some critics have pointed out that the selection of the ten mathematical problems in the study may be selective. It remains to be seen how the model performs on a broader spectrum of undefined mathematical challenges.
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