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Research6d ago

AI Solves Million-Dollar Math Problem

Simon Willison1 min brief

In brief

  • In a groundbreaking development, OpenAI has reportedly solved the Navier-Stokes existence and smoothness problem, one of the seven unsolved Millennium Prize Problems.
    • This achievement could net the solver a $1 million prize.
  • However, controversy looms as mathematicians accuse OpenAI of using unpublished models to reach its solution.
  • The dispute centers on whether OpenAI's model was trained on data from another team working on similar problems.
  • The issue arose when Tristan Buckmaster, an NYU professor collaborating with Levent Alpöge of Anthropic, claimed OpenAI may have accessed their work.
  • Buckmaster alleged that OpenAI's model could have been influenced by drafts and sessions in Codex, a tool used by the research team.
  • OpenAI maintains its model operates independently, but Buckmaster is skeptical.
    • This controversy highlights ethical concerns about AI development and intellectual property in mathematics.
  • The field now watches to see how these claims are resolved and whether OpenAI's solution will hold up under scrutiny.

Terms in this brief

Navier-Stokes existence and smoothness problem
A complex mathematical problem concerning the solutions to the Navier-Stokes equations, which describe fluid motion. Solving it could earn a $1 million prize from the Clay Mathematics Institute and advance our understanding of physics and engineering.

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