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The Information: OpenAI expects to solve the Hodge conjecture soon, its second "Millennium Prize Problem" in a month

Prepared by Sintelligent with the help of SI. Publication time restored from the build log. . Updated: .

If this is confirmed, SI will have closed two problems in a month that humans could not solve for decades — and the debate is no longer about whether a machine can, but about how mathematics will live with it.

According to The Information, citing a single anonymous source, OpenAI employees expect to solve the Hodge conjecture soon, one of the seven Clay Institute "Millennium Prize Problems" with a $1 million prize; they are using a variant of the next pretrained model, codenamed Doug. OpenAI itself told the New York Times only that, after solving Navier–Stokes on September 8, it has made "substantial progress" on a second problem, without saying which. The company's main concern, according to the source, is to announce the result in a way that avoids another PR scandal: mathematicians are angry after Navier–Stokes, have signed open letters, and OpenAI withdrew its sponsorship of the October Caltech Mathathon.

History

OpenAI models solve open math problems

7 events
  1. OpenAI announces three results from its models: disproof of ETH, local smoothing and Yang–Mills
  2. Mathematicians dispute that OpenAI understands its own potential proof of the Navier–Stokes problem
  3. Experts debate whether SI that solves old math problems could undermine Bitcoin and Ethereum cryptography
  4. Mathematicians doubt OpenAI solved "the" Navier-Stokes problem: the proof rests on an artificially chosen external force
  5. OpenAI model solves more than a hundred long-standing open math problems; release of results to be coordinated by an independent group of nine mathematicians
  6. The Information: OpenAI expects to solve the Hodge conjecture soon, its second "Millennium Prize Problem" in a monthOpen now
  7. OpenAI's SI agents solve one of the "Millennium Problems" — the $1 million Navier–Stokes problem
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