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ChatGPT Astra Solved 10 Unsolved Maths Problems?

Can ChatGPT really solve unsolved maths? OpenAI says Astra, its unreleased next major model family, generated ten substantial new results across mathematics and theoretical computer science. Astra is not the version of ChatGPT you can use today, but OpenAI has published a 249-page paper collection, discovery notes and Lean certificates for independent inspection.

In this video I break down what OpenAI actually released, why "ten solved problems" needs qualification, what the roughly $2,000 inference claim does and does not mean, how Lean verification works, and why AI can make progress on advanced maths while still failing apparently simple tasks.

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Chapters:

00:00 What ChatGPT Astra claims

00:53 What OpenAI actually released

02:01 Evidence vs marketing

02:25 Advances vs solved problems

04:00 What the $2,000 claim really means

05:55 Why maths, but not strawberry?

07:58 The jagged frontier

09:08 Can we trust the proofs?

11:52 AI is already escaping the lab

13:50 Is AI actually creative?

15:54 The bottleneck has moved

17:26 Scientists become directors

18:27 My verdict on ChatGPT Astra

Sources:

OpenAI - Ten advances in mathematics and theoretical computer science

https://openai.com/index/ten-advances-in-mathematics/

OpenAI - Ten Advances paper collection

https://cdn.openai.com/pdf/ten-proofs-oai.pdf

OpenAI - Mathematical discovery notes

https://cdn.openai.com/pdf/reasoning-walkthroughs.pdf

OpenAI - Public Lean certificates

https://github.com/openai/ten-proofs

Noam Brown - Astra launch post

https://x.com/polynoamial/status/2083467194663571701

Counting Ability of Large Language Models and Impact of Tokenization

https://arxiv.org/abs/2410.19730

Navigating the Jagged Technological Frontier

https://pubsonline.informs.org/doi/10.1287/orsc.2025.21838

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