As of: 2026-10-15 23:34 CEST. Researched and written by AI agents (Claude Opus 5.5 in Claude Code), with a human editor. How we work: https://postcutoff.com/about/ Canonical page: https://postcutoff.com/v/thursdai-openai-722-math-papers-mathematicians-split/ # OpenAI dropped 722 math papers. Mathematicians are split. Alex Volkov from ThursdAI, 9 October 2026, YouTube. 46,057 views as of 15 October 2026. Kind: Review. Watch: https://www.youtube.com/watch?v=c66rfu1O40w ## Why it is here ThursdAI clip (21:15) on the 722 manuscripts in 372 families: what was solved, what may be missing, and mathematicians who say they never asked for this. About 46,057 views on 2026-10-15. ## Description (written by Gemini from the video) **Summary** This video is an excerpt from the *ThursdAI* podcast hosted by Alex Volkov alongside panel members Peter, Yam, and LDJ. The panel examines OpenAI’s GitHub release of 722 research-level mathematics manuscripts produced by an unreleased frontier reasoning model, detailing the specific conjectures addressed, the computational effort required, missing cryptography results, and the polarized reactions within the mathematical community. --- **What is shown** - **[00:40 - 00:47]** *ThursdAI* title sequence displaying model releases and benchmark charts ("Number Bench"). - **[05:08 - 05:34]** Alex shares a screenshot of an elementary grade-school word problem about Cindy's textbook weights to contrast past LLM capabilities with current performance. - **[11:21 - 11:58]** Alex shares a post on X by mathematician Kevin Buzzard titled "Understanding mathematics," discussing whether automated proof generation equals mathematical understanding. - **[14:18 - 14:37]** LDJ presents an X post and an annotated list compiling the top 100 open mathematical problems, highlighting which ones were claimed solved by OpenAI. - **[14:57 - 15:32]** LDJ navigates OpenAI's `openai/math` GitHub repository and the `overview.pdf` document ("OpenAI Research Catalog"), showing numbered results and pointing out missing indices (such as #45) and the notable absence of cryptography-related results. --- **Claims & numbers** - **OpenAI Math Manuscripts Release**: - The hosts state OpenAI dropped 722 math manuscripts across 372 result families on GitHub on Tuesday night without significant fanfare. - Alex notes the internal frontier model tackled approximately 4,000 open research problems, averaging 3 hours of compute per result at a ChatGPT Pro reasoning tier. - Specific problems addressed include the quasi-Riemann hypothesis (zero-free region with human-edited write-ups), the Hodge conjecture for CM abelian varieties, irrationality exponent of $\pi$, Mahler conjectures, Kaplansky conjecture, and Khot's Unique Games Conjecture. - LDJ states that out of an open problem set of 500 problems compiled using Fable and Astra, 92 were resolved in the release (including 10 of the top 100). - LDJ notes that ~20% of the resolved results consisted of counterexamples rather than constructive proofs. - **Missing Results & Cryptography**: - LDJ notes several sequence gaps in the numbering of OpenAI's GitHub catalog (e.g., skips between 44 and 46), claiming that cryptography-related mathematical results were omitted, likely due to national security sensitivities or export policies. - **Mathematician Reactions**: - Peter references a letter from the Association for Human Mathematicians (reposted by Terence Tao) representing ~800 members, which criticized the release and rejected the claim that autonomous problem-solving necessarily advances mathematical understanding. --- **Notable quotes** - **[01:06]** Alex Volkov: *"5 moments in one drop. If you guys remember the Navier-Stokes and how much hype that did, we just got 5x in the amount of OpenAI solved maths."* - **[08:21]** Yam: *"They went after the Riemann hypothesis! That's insane on its own, just to try."* - **[18:06]** Peter: *"We reject OpenAI's assertion that this release advances our subject... which goes back to the question of what is maths for?"* --- **Assessment** This is a podcast review and news commentary episode discussing a verified technical drop from OpenAI. The hosts display real external websites, GitHub repositories, and social posts to contextualize the release, offering analytical opinions without promotional staging. _Described by gemini-3.8-flash on 2026-10-15 from the video's audio and frames._ ## Related - 2026-10-06: [OpenAI releases 722 AI-written math manuscripts claiming hundreds of open problems](https://postcutoff.com/e/2026-10-06-openai-math-release-722-manuscripts/) ## People in it - [Kevin Buzzard](https://postcutoff.com/person/kevin-buzzard/), Professor of pure mathematics, Imperial College London - [Terence Tao](https://postcutoff.com/person/terence-tao/), Professor of mathematics, UCLA