Mathematicians stunned by AI’s biggest breakthrough in mathematics yet

Mathematicians stunned by AI’s biggest breakthrough in mathematics yet

Mathematicians stunned by AI’s biggest breakthrough in mathematics yet

https://www.newscientist.com/article/2527564-mathematicians-stunned-by-ais-biggest-breakthrough-in-mathematics-yet/

Publish Date: 2026-05-21 11:15:00

Source Domain: www.newscientist.com

  • An 80-year-old mathematical conjecture known as the planar unit distance problem has been solved by an AI model from OpenAI, drawing significant acclaim from experts.
  • The model, which is not specifically trained for mathematical research, has found a counterexample disproving Paul Erdős’s conjecture that a grid arrangement of points yields the maximum number of equal-sized lines between them.
  • The AI utilized a technique from algebraic number theory, constructing complex high-dimensional shapes before projecting them onto two dimensions.
  • While the solution is groundbreaking, it highlights the challenge mathematicians faced due to a lack of knowledge in advanced number theory.
  • The success of the AI demonstrates the potential of AI in combining disparate fields of expertise, which may be inherently complex for human scholars.
  • The solution has already spurred additional research, as other experts have built on the AI’s findings to improve the number of possible connections between points.