AION
Opinion / analysisReasoning & Planning · Applications · Agents & Tool Use3 sources · Oct 7, 2026

Sharing AI progress in mathematics

OpenAI publishes new results on open problems in mathematics from an internal frontier model and shares Lean proof formalizations and research details on GitHub.

Key points

  • I was a graph theory junkie long ago and even moved to Budapest for awhile to study among the greats.
  • While I was there I started working on Barnette's Conjecture which came to occupy my thoughts over the next 24 years of my life, on and off as I worked in many different fields.
  • But it's supposedly proven here - problem 180.
  • Hearing that it is solved somehow makes me sad in a far-off way, like hearing an ex-girlfriend died suddenly in a car crash.

Sources (3)

  • [1]Sharing AI progress in mathematics
    OpenAI News · Oct 6, 12:00 PM
    OpenAI publishes new results on open problems in mathematics from an internal frontier model and shares Lean proof formalizations and research details on GitHub.
  • [2]Quoting Jake Boggan
    Simon Willison's Weblog · Oct 7, 04:47 AM
    I was a graph theory junkie long ago and even moved to Budapest for awhile to study among the greats.
    While I was there I started working on Barnette's Conjecture which came to occupy my thoughts over the next 24 years of my life, on and off as I worked in many different fields.
  • [3]Sharing AI progress in mathematics
    Hacker News (AI, 100+ points) · Oct 6, 10:17 PM · same content

Extractive summary: sentences quoted from the sources.