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OpenAI claims huge maths breakthrough on a famed ‘Millennium Problem’

Twenty-five Fields Medal winners issued a declaration criticizing a severe misalignment between the tech industry and mathematics following OpenAI's claim to have solved the Navier-Stokes Millennium Prize Problem. While some mathematicians speculate on which unsolved questions AI might tackle next, others warn of a crisis in professional values. The announcement has triggered intense disputes over intellectual credit and the ethics of using AI to resolve foundational mathematical challenges.

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What changed

Fields Medal winners formally decried the AI invasion of their discipline in a new declaration.

Live updates

  1. Fields Medalists Protest OpenAI Solution to Navier-Stokes Problem

    Twenty-five Fields Medal winners issued a declaration criticizing a severe misalignment between the tech industry and mathematics following OpenAI's claim to have solved the Navier-Stokes Millennium Prize Problem. While some mathematicians speculate on which unsolved questions AI might tackle next, others warn of a crisis in professional values. The announcement has triggered intense disputes over intellectual credit and the ethics of using AI to resolve foundational mathematical challenges.

    Why it matters

    The Navier-Stokes problem has remained open for 90 years and carries a 1 million dollar prize. UCLA professor Terence Tao previously warned that AI capabilities are creating a turbulent period for mathematical practices.

    What is confirmed

    • OpenAI presented a possible solution to the Navier-Stokes problem.
    • Twenty-five winners of the Fields Medal expressed alarm over a severe misalignment between the tech industry and mathematics.

    Still unconfirmed

    • AI giants are engaged in childish rivalries that are upending the mathematical field.
    • OpenAI used 10,000 AI agents to reach the result in 88 hours.

    What to watch next

    • Verification of the Navier-Stokes solution by independent mathematicians
    • Awarding of the 1 million dollar Millennium Prize
    • Further statements from the International Congress of Mathematicians regarding AI integration
    Sources used for this update (5)
    1. singularityhub.com — OpenAI Claims Another Huge Mathematical Result Amid Fights Over Credit, Ethics, and Privacy
    2. www.theverge.com — OpenAI just wants to win
    3. www.scientificamerican.com — 25 winners of math’s ‘Nobel Prize’ decry the AI invasion of their discipline
    4. www.scientificamerican.com — Which million-dollar math problem could AI solve next?
    5. www.theatlantic.com — An Existential Crisis in Math
    confidence 90%
  2. OpenAI claims solution to Navier-Stokes Millennium Problem amid credit disputes

    OpenAI claims its AI system solved the Navier-Stokes Millennium Prize Problem, a challenge that has remained open for 90 years. The company used 10,000 AI agents to reach the result in 88 hours. While OpenAI presents this as a major breakthrough, the announcement has sparked intense conflict over ethics, privacy, and intellectual credit. Mathematicians are questioning whether the AI used unauthorized data from researchers working on similar breakthroughs, leaving the validity of the solution and the status of the 1 million dollar prize uncertain.

    Why it matters

    The Navier-Stokes equations describe the motion of fluid substances. Solving this Millennium Prize Problem would provide a fundamental understanding of turbulence and fluid dynamics.

    What is confirmed

    • OpenAI announced a solution to the Navier-Stokes problem.
    • The Navier-Stokes problem is a Millennium Prize Problem with a 1 million dollar prize.

    Still unconfirmed

    • The AI models used data from two mathematicians working on a similar breakthrough.

    What to watch next

    • Decision on the awarding of the 1 million dollar prize.
    Sources used for this update (4)
    1. theconversation.com — OpenAI claims another huge mathematical result amid fights over credit, ethics and privacy
    2. www.scientificamerican.com — The summer AI ate math
    3. news.qq.com — OpenAI宣称在著名的“千禧年难题”上取得重大数学突破
    4. www.smithsonianmag.com — A.I. May Have Solved a Longstanding Math Problem With a Million-Dollar Prize. It Ignited a Controversy Over Who Gets Credit
    confidence 80%
  3. OpenAI claims solution to Navier-Stokes Millennium Prize Problem

    OpenAI claims its AI system solved the 90-year-old Navier-Stokes Millennium Prize Problem in 88 hours using 10,000 AI agents. While the company describes the achievement as a major breakthrough, the claim is mired in controversy. NYU mathematician Tristan Buckmaster has questioned the origins of the solution, alleging that OpenAI used his work without permission and attempted to pressure him into assisting with the problem. It remains unclear if the mathematical community accepts the solution as valid or if the $1 million prize will be awarded.

    Why it matters

    The Navier-Stokes equations describe the motion of fluid substances. Solving this Millennium Prize Problem requires proving whether smooth solutions always exist in three dimensions. A verified solution would resolve a fundamental mystery of physics and mathematics.

    What is confirmed

    • OpenAI claims to have solved the Navier-Stokes Millennium Prize Problem.
    • The mathematical problem has remained unsolved for 90 years.
    • OpenAI says the system cracked the problem in 88 hours.

    Still unconfirmed

    • OpenAI used 10,000 AI agents to reach the solution.
    • OpenAI cribbed work from an NYU professor and threatened him.
    • Tristan Buckmaster questions the origins of the breakthrough.

    What to watch next

    • Verification of the proof by the mathematical community
    • Official response from OpenAI regarding the plagiarism allegations
    • Confirmation of prize eligibility by the Millennium Prize committee
    Sources used for this update (10)
    1. OpenAI — On the Navier–Stokes Millennium Prize Problem
    2. Quanta Magazine — AI Has Solved One of Math’s $1 Million Millennium Prize Problems
    3. BBC — OpenAI says it cracked 90-year-old maths problem in 88 hours
    4. Nature — OpenAI claims huge maths breakthrough on a famed ‘Millennium Problem’
    5. Scientific American — OpenAI claims blockbuster math breakthrough amid swirl of controversy
    6. The Times of India — OpenAI solves 90-year-old Navier-Stokes maths problem with 10,000 AI agents; NYU professor who spent a year on the same problem using OpenAI's own AI says: "I asked again, about training, and I did…"
    7. CNN — OpenAI says it has solved one of math’s “Millennium Problems”
    8. The New York Times — What Is Navier-Stokes, the ‘Millennium’ Math Problem OpenAI Claims to Have Solved?
    9. nypost.com — OpenAI says it cracked decades-old math problem — but professor claims they cribbed his work and then threatened him
    10. blockonomi.com — OpenAI Claims AI Breakthrough on Million-Dollar Math Challenge Sparks Controversy
    confidence 80%