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OpenAI mathematical results

8 October 2026 at 19:14
The Mathocalypse. "Last night my 9-year-old son was taunting my wife, complexity theorist Dana Moshkovitz, as follows: 'mommy, I heard you got cooked! I heard that a robot solved the math problem you worked on for your whole career! OOF!'" Scott Aaronson on OpenAI's announcement of 372 breakthrough mathematical results using an unreleased model.

Lech Mazur:
A quick check shows that this list claims to fully solve 90 of the top 500 open problems in math (https://proofatlas.ai/open-problems/). The highest ranked would be:
  • Hilbert's Tenth Problem over the Rationals
  • Unique Games Conjecture
  • Anderson Model Extended States in Dimension at Least Three
  • Penrose inequality
  • Nonexistence of Landau–Siegel zeros for quadratic Dirichlet L-functions
  • The Baum-Connes Conjecture for the K-Theory of Reduced Group C*-Algebras
  • Abundance Conjecture for the minimal model program
  • Hadwiger Conjecture
  • Bose-Einstein Condensation in Interacting Continuous Bose Gases
  • Entanglement Area Law for 2D Gapped Quantum Systems
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