An OpenAI model solved the 80-year-old unit distance problem, disproving a major conjecture in discrete geometry and marking a milestone in AI-driven mathematics.
Ten advances in mathematics and theoretical computer science
OpenAI shares new results on long-standing open problems in mathematics and theoretical computer science, including advances in geometry, cryptography, and complexity.
The case for a validity layer in life science research
When OpenAI recently announced that one of its models had disproved a long-standing conjecture in discrete geometry, the scientific community took notice...
OpenAI’s math breakthrough played to AI’s strengths
I tried to explain OpenAI’s solution more clearly than OpenAI did.
OpenAI's Unreleased Model Astra Solves Ten Major Open Mathematics Problems
Math is hard.
Timothy Gowers @wtgowers on Twitter / X
AI has now solved a major open problem -- one of the best known Erdos problems called the unit distance problem, one of Erdos's favourite questions and one that many mathematicians had tried.https://t.co/SD1vVPkrHR— Timothy Gowers @wtgowers (@wtgowers) May 20, 2026
Various Reflections About What Happened With OpenAI's Internal Models
Pre Post Mortem
Przemek Chojecki | PC on Twitter / X
The Growing Map of Open Mathematical Problems.We mapped 15,000+ conjectures from UnsolvedMath to show potential links between concepts.It also shows how under formalized the frontier is (less than 10%). pic.twitter.com/nm0PCpXVPf— Przemek Chojecki | PC (@prz_chojecki) August 28, 2026
OpenAI admits AI hallucinations are mathematically inevitable, not just engineering flaws
In a landmark study, OpenAI researchers reveal that large language models will always produce plausible but false outputs, even with perfect data, due to fundamental statistical and computational limits.
OpenAI can’t tell if something was written by AI after all
OpenAI’s tool struggled with accuracy.
The argument against AI agents and unnecessary automation
Opinion: OpenAI's Operator a solution in search of a problem
OpenAI News
Stay up to speed on the rapid advancement of AI technology and the benefits it offers to humanity.
Amateur armed with ChatGPT 'vibe-maths' a 60-year-old problem
A ChatGPT AI has proved a conjecture with a method no human had thought of. Experts believe it may have further uses
Has an AI discovered new maths?
OpenAI: The Fix Is In
An update to More Magic Math from OpenAI The final mad dash to IPO is on for the big AI companies. SpaceX, OpenAI, and Anthropic have all made their intentions clear. And nothing could be more obvi…
OpenAI Shares Some Alignment Problems
Kudos to OpenAI for sharing their recent experiences with a misaligned internal model, where they encountered problems sufficiently severe they were forced to take the model offline to work on new mitigations and defense-to-depth.
