OpenAI Reported Near Solving the Hodge Conjecture, Another Millennium Prize Problem

On September 16, OpenAI President Greg Brockman said the company had made significant progress on a second Millennium Prize Problem, following its earlier Navier-Stokes-related work. According to The Information's Stephanie Palazzolo, the problem is the Hodge Conjecture, which OpenAI is close to solving with a proof expected soon; the official announcement may be delayed while the company navigates its relationship with the mathematics community.

Confirmed

• Brockman himself confirmed significant progress on a second Millennium Problem, without naming it or specifying the degree of progress.
• Per The Information, the problem is the Hodge Conjecture; the first problem was reportedly solved using a variant of OpenAI's next-generation pretrained model with the internal codename "Doug," per sources.
• The report links OpenAI's math push to RSI/self-improvement, and notes the announcement may be delayed to avoid repeating earlier PR fallout; blogger Hesamation similarly says OpenAI is being careful with the math community.
• The Millennium Prize Problems are seven unsolved problems from the Clay Mathematics Institute, each carrying a $1 million prize, including P vs NP, the Riemann Hypothesis, and the Hodge Conjecture.
• Fields Medalist littmath publicly questioned what "close to solving" means, raising rigor concerns.
• Theoretical computer scientist and former OpenAI employee Scott Aaronson has commented on how AI companies approach problems like Navier-Stokes (as relayed by @jeremiecharris).

Unconfirmed

• The problem's identity rests solely on The Information's report and blogger relay (Hesamation, Haider, DrSingularity, etc.); OpenAI has not officially confirmed it is the Hodge Conjecture.
• Rumors that OpenAI may be near solving two of the remaining problems, or nearly all six unsolved ones, or may announce at DevDay, remain unverified.

Why it matters

• If true, it would be a landmark for frontier-model mathematical reasoning, showing AI attacking the highest level of pure mathematics and tied to OpenAI's self-improvement (RSI) agenda.
• Some academics worry about AI companies treating math problems as "compute plunder," potentially disrupting the math community's evaluation and collaboration norms—one reason the announcement may be delayed.

2026-09-16 ~ 2026-09-18 · 16 related posts

Full story(20 episodes)→

• Episode 1: Rumors claim GPT-6 cracks Navier-Stokes, credibility doubtful(2026-09-05, 2 posts)
• Episode 2: OpenAI Claims 10,000 Agents Solved Navier-Stokes in 88 Hours(2026-09-09, 13 posts)
• Episode 3: Existence Proof Effect: Rumor of Solvability Drove OpenAI's Navier-Stokes Attempt(2026-09-09, 3 posts)
• Episode 4: Mathematicians Accuse OpenAI of Racing to Claim Their Unfinished Proof(2026-09-09, 6 posts)
• Episode 5: Anthropic Faces Ethics Backlash Over Math Proof and Scooped Collaboration(2026-09-09, 2 posts)
• Episode 6: Rumors swirl that OpenAI nears Hodge and BSD conjectures as Millennium Prize problems fall(2026-09-10, 27 posts)
• Episode 7: OpenAI Claims Navier-Stokes Solved, Progress on a Second Millennium Problem(2026-09-10, 21 posts)
• Episode 8: Mathematician accuses OpenAI of training Astra on his unpublished work; OpenAI denies(2026-09-10, 9 posts)
• Episode 9: Navier–Stokes Authorship Dispute Fuels Debate Over AI Labs' Scooping Culture(2026-09-10, 6 posts)
• Episode 10: OpenAI denies Codex prompts influenced training as "stolen chat data" claims unravel(2026-09-11, 8 posts)
• Episode 11: OpenAI's Millennium Prize Claim Mired in Authorship and Scooping Dispute(2026-09-11, 10 posts)
• Episode 12: AI Circles Speculate Millennium Prize Problems May Fall to AI(2026-09-11, 2 posts)
• Episode 13: Math Community Splits Over AI's Role After OpenAI's Millennium Prize Claim(2026-09-11, 8 posts)
• Episode 14: Rumor: OpenAI Aims Internal Model at Riemann Hypothesis and P vs NP(2026-09-11, 7 posts)
• Episode 15: OpenAI's Navier-Stokes Proof Passes Rechecks but Faces Scrutiny(2026-09-11, 2 posts)
• Episode 16: OpenAI's 10,000-Agent Navier-Stokes Claim Sparks Math Community Credit War(2026-09-12, 18 posts)
• Episode 17: Misread as Anti-AI, Terence Tao Sparks Debate Over the Value of Mathematics(2026-09-12, 18 posts)
• Episode 18: Fields Medalists' Open Letter on AI Sparks Cross-Disciplinary Debate(2026-09-12, 6 posts)
• Episode 19: OpenAI Claims AI Agent Solved the Navier–Stokes Blow-up Problem(2026-09-13, 8 posts)
• Episode 20: OpenAI Claims 10,000 Agents Solved Navier-Stokes Problem in 88 Hours(2026-09-14, 11 posts)

• Greg Brockman says OpenAI has 'significant progress' on another Millennium Prize Problem — scaling01 · 2026-09-16
• Rumor: OpenAI Claims 'Significant Progress' on a Second $1M Millennium Prize Problem — jeremiecharris · 2026-09-16
• OpenAI Claims Major Progress on a Second Millennium Prize Problem, Sparking Academia Backlash — 新智元 · 2026-09-17
• The Information: OpenAI Close to Solving Another Millennium Prize Math Problem — Dr_Singularity · 2026-09-17
• [source] OpenAI close to solving Hodge Conjecture, another Millennium Prize problem, report says — steph_palazzolo · 2026-09-17
• OpenAI reportedly near solving Millennium Prize math problem Hodge Conjecture with next-gen model 'Doug' — kimmonismus · 2026-09-18
• Rumor: OpenAI close to cracking the Hodge Conjecture, another Millennium Prize problem — Distinct-Question-16 · 2026-09-18
• [source] Mathematician littmath questions what 'close to solving' the Hodge Conjecture actually means — littmath · 2026-09-18

8 near-duplicate retellings: beffjezos · Hesamation · Hesamation · haider1 · kimmonismus · thesaraharminta · gerardsans · basedjensen