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Home/Research
Research

OpenAI Claims Solution to Navier-Stokes Problem

The Verge AI·September 8, 2026·high confidence

Why it matters

  • →Solving the Navier-Stokes problem is a major milestone in mathematics and AI.
  • →The controversy highlights the ethical complexities of AI research and data usage.
  • →OpenAI's achievement demonstrates the potential of AI in solving longstanding scientific problems.
OpenAI Claims Solution to Navier-Stokes Problem
©The Verge AI

OpenAI has announced a solution to the Navier-Stokes problem, a major mathematical challenge unsolved for 90 years. The solution was achieved using an internal AI model more powerful than GPT-6 Astra and 10,000 concurrent agents. However, controversy has arisen as researchers from NYU and Anthropic claim OpenAI may have used their work. OpenAI denies these claims, stating no specific user data was accessed. Despite the breakthrough, OpenAI will not claim the $1 million Millennium Prize.

Read original

The story around this

Earlier coverage that leads up to this article, and what followed. Lines connect each piece to the closest one after it, converging here.

OpenAI Model Solves 80-Year-Old Geometry Problem — OpenAI1OpenAI Achieves Math Breakthrough — The AI Daily Brief2Open Models Propel AI Research at ICML 2026 — NVIDIA Blog3OpenAI and Anthropic's AI Race Sparks Industry Concerns — WIRED AI4OpenAI reveals breakthroughs in math and computer science — OpenAI5OpenAI's Astra Solves 10 Long-Standing Math Problems — The Rundown AI6OpenAI's Astra Solves 10 Major Math Problems — The Rundown AI7OpenAI Astra Solves Ten Longstanding Math Problems — The AI Daily Brief8OpenAI Claims Solution to Navier-Stokes ProblemOpenAI Faces Backlash from Mathematicians — TechCrunch AI9OpenAI launches math advisory group amid controversy — TechCrunch AI10OpenAI claims Navier-Stokes proof via agents — WIRED AI11OpenAI claims major proofs in math, CS, and physics — The Verge AI12OpenAI's math breakthroughs spark researcher backlash — The Verge AI13May 20You are hereOct 27

How we got here

  1. 1
    OpenAI Model Solves 80-Year-Old Geometry Problem

    OpenAI · May 20, 2026 · Related

  2. 2
    OpenAI Achieves Math Breakthrough

    The AI Daily Brief · May 24, 2026 · Related

  3. 3
    Open Models Propel AI Research at ICML 2026

    NVIDIA Blog · July 6, 2026 · Background

  4. 4
    OpenAI and Anthropic's AI Race Sparks Industry Concerns

    WIRED AI · July 30, 2026 · Background

  5. 5
    OpenAI reveals breakthroughs in math and computer science

    OpenAI · August 1, 2026 · Related

  6. 6
    OpenAI's Astra Solves 10 Long-Standing Math Problems

    The Rundown AI · August 3, 2026 · Related

  7. 7
    OpenAI's Astra Solves 10 Major Math Problems

    The Rundown AI · August 3, 2026 · Related

  8. 8
    OpenAI Astra Solves Ten Longstanding Math Problems

    The AI Daily Brief · August 4, 2026 · Background

What happened next

  1. 9
    OpenAI Faces Backlash from Mathematicians

    TechCrunch AI · September 11, 2026 · Related

  2. 10
    OpenAI launches math advisory group amid controversy

    TechCrunch AI · September 21, 2026 · Same story

  3. 11
    OpenAI claims Navier-Stokes proof via agents

    WIRED AI · September 28, 2026 · Same story

  4. 12
    OpenAI claims major proofs in math, CS, and physics

    The Verge AI · October 26, 2026 · Related

  5. 13
    OpenAI's math breakthroughs spark researcher backlash

    The Verge AI · October 27, 2026 · Related

Follow this story

Open the full story →

AI tackles Navier–Stokes Millennium Prize Problem

12 developments

  1. Sep 8 · OpenAI
    AI tackles Navier–Stokes Millennium Prize Problem
  2. Sep 8 · WIRED AI
    OpenAI Claims AI Solved Major Math Problem↳ OpenAI denies plagiarizing Tristan Buckmaster and Levent Alpöge despite their claims regarding influence on the Navier-Stokes solution.
  3. Sep 8 · TechCrunch AI
    Controversy Erupts Over OpenAI's Math Problem Solution
  4. Sep 8 · The Verge AI
    OpenAI Claims Solution to Navier-Stokes Problem (This article)
  5. Sep 9 · MIT Technology Review AI
    OpenAI's Navier-Stokes Solution Sparks Controversy
  6. Sep 9 · Wes Roth
    OpenAI claims AI agents solved Navier-Stokes
  7. Sep 9 · The Rundown AI
    OpenAI's Model Solves $1M Math Problem
  8. Sep 9 · The Verge AI
    OpenAI's AI Solves Millennium Prize Problem
  9. Sep 10 · The AI Daily Brief
    OpenAI Releases Navier-Stokes Solution↳ OpenAI releases the Navier-Stokes solution tool.
  10. Sep 11 · Matt Wolfe
    OpenAI Releases ChatGPT Images 2.5 and Navier-Stokes Solution↳ OpenAI also released an updated image generation model, ChatGPT Images 2.5.
  11. Sep 11 · Lev Selector
    OpenAI Solves Navier-Stokes Problem with AI Agents↳ OpenAI used 10,000 AI agents working for 88 hours to solve the problem.
  12. Sep 12 · The Verge AI
    OpenAI's Controversial Win in Mathematics

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Anthropic study: Agents sway expert judgment 86% of time

Anthropic’s latest research exposes a quiet but dangerous flaw in agentic workflows: experts follow AI recommendations 86% of the time, often adopting the agent's reasoning as their own. This isn't just about accuracy; it's about cognitive capture, where human oversight dissolves into passive compliance. The study shows that even when users believe they are steering, the agent’s framing dictates the outcome. Practitioners must now actively counter this bias by forcing agents to justify deviations or prototype alternatives before committing to a path. This shift demands a new discipline in how we interact with coding assistants. We can no longer assume our intent drives the result; the model's suggestion often becomes the default truth. The real work is ensuring we remain the architects, not just the approvers.

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Cisco Talos has uncovered a new infostealer strain that actively uses commercial LLMs to profile victims and prioritize high-value targets. Dubbed Volta-Autodoxer, the malware collects credentials and browsing data, then feeds this into models like Claude Opus 4.6 via OpenRouter to generate structured intelligence dossiers. This marks a shift from passive data theft to active, AI-driven triage, allowing attackers to bypass guardrails with fallback models like Kimi K2 or Gemini. The capability foreshadows a future where lower-sophistication criminals can execute sophisticated, targeted attacks at scale.

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