OpenAI says its next model, Astra, produced ten mathematical advances, each backed by a machine-checked Lean proof. The successful searches would cost roughly $2,000 at API prices.
Are mathematicians done?!
Twenty-four hours later, Anthropic mathematician Levent Alpöge claimed Claude Fable had matched five of them. Meanwhile, startups are raising hundreds of millions to turn proof generation and verification into a business.
In this episode, we explain what Astra actually achieved, what the $2,000 figure excludes, how Lean changes mathematical verification, and why the next scarce resource in mathematics may be human judgment rather than proofs.
Attention Span explains how AI is changing who produces, verifies, and ultimately controls mathematical discovery.
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*Sources used to produce this video:*
- Sébastien Bubeck's Astra announcement: https://x.com/SebastienBubeck/status/2083456300692979886
- OpenAI, Ten advances in mathematics and theoretical computer science: https://openai.com/index/ten-advances-in-mathematics/
- OpenAI, Ten Proofs manuscript: https://cdn.openai.com/pdf/ten-proofs-oai.pdf
- OpenAI, Lean repository: https://github.com/openai/ten-proofs
- OpenAI, reasoning walkthroughs: https://cdn.openai.com/pdf/reasoning-walkthroughs.pdf
- Terence Tao, Mathematics in the Age of AI, ICM 2026: https://teorth.github.io/tao-web/slides/age-of-ai-icm-2026.pdf
- Tao's explanation of the Jacobian counterexample: https://terrytao.wordpress.com/2026/07/21/a-digestion-of-the-jacobian-conjecture-counterexample/
- Leiden Declaration on Artificial Intelligence and Mathematics: https://leidendeclaration.ai/
- Leonardo de Moura, Proof Assistants in the Age of AI: https://leodemoura.github.io/blog/2026-2-18-proof-assistants-in-the-age-of-ai/
- Georges Gonthier, formal proof of the Four Color Theorem: https://www.microsoft.com/en-us/research/wp-content/uploads/2016/02/gonthier-4colproof.pdf
- Levent Alpöge's Astra counterclaim: https://x.com/__alpoge__/status/2083855298239078748
- Axiom Math funding and product thesis: https://menlovc.com/perspective/ai-will-write-all-the-code-mathematics-will-prove-it-works/
- Axiom proofs accepted by journals: https://www.axios.com/2026/05/26/axiom-ai-math-journal
- AxiomProver Putnam 2025 and early-2026 results overview: https://wal.sh/research/axiomprover-2026/
- Math Inc., Gauss: https://www.math.inc/gauss
- Math Inc., FormalQualBench: https://www.math.inc/formalqualbench
Reuters, Harmonic funding: https://www.reuters.com/business/robinhood-ceos-math-focused-ai-startup-harmonic-valued-145-billion-latest-2025-11-25/
