OpenAI's Astra Solves 10 Long-Unsolved Math Problems for $2,000
OpenAI announced that its upcoming AI model, Astra, has generated solutions to ten longstanding problems in mathematics and theoretical computer science, each unsolved for over a decade. The announcement was made on Saturday, accompanied by a 249-page manuscript and Lean 4 proof certificates released on GitHub under an Apache 2.0 license. The repository's 'sorry' count is zero, indicating that every step in all ten formalized proofs is fully verified. The cost of solving these problems was approximately $2,000, a remarkably low figure for such complex mathematical achievements. This development highlights the potential of AI in advancing mathematical research, though Astra has not yet been released to the public.
Key facts
- OpenAI announced that Astra, its next major model, solved 10 longstanding math problems.
- Each problem had been unsolved for ten or more years.
- The announcement was made on Saturday.
- OpenAI released a 249-page manuscript and Lean 4 proof certificates on GitHub.
- The repository is under an Apache 2.0 license.
- The 'sorry' count is zero, meaning all proofs are fully verified.
- The cost of solving the problems was roughly $2,000.
- Astra is still awaiting public release.
Entities
Institutions
- OpenAI
- GitHub
Sources
- Quartz —