OpenAI's Astra solves 10 decades-old math problems for $2,000, every proof Lean-checkable
OpenAI launched its Astra model family by publishing proofs for ten math problems open for decades, including a disproof of Connes's rigidity conjecture and an improvement to a sphere-packing bound standing since 1978, at roughly $2,000 in tokens. Every proof was formalized in Lean and posted on GitHub, so the claim can be checked by download rather than believed. OpenAI picked which results to publish and no outsider can rerun the model, but the certificates verify either way.
Source: forbes.com ↗
A verified proof does not require the reader to believe the entity that produced it.
Forbes
Why this matters
- → Dramatically cuts math-proof verification from peer-review months to instant machine-checkable download
- → Proves 10+ decades-old open problems (including Connes conjecture) at $2,000 cost
- → Formalized proofs in Lean eliminate belief in vendor claims—anyone can verify
Math at machine speed