OpenAI’s September 2026 announcement that an internal model solved the Navier-Stokes existence and smoothness problem—one of the seven Millennium Prize Problems—has sharply shifted trader expectations for AI math capabilities this year. The system deployed up to 10,000 coordinated AI agents over 88 hours, generating a Lean-verified proof at an estimated multimillion-dollar compute cost, following earlier Astra-model results on ten longstanding open problems in geometry, group theory, and combinatorics. Rival efforts from Anthropic’s Claude and Google DeepMind’s AlphaProof lineage have delivered comparable gains on Erdős problems, IMO-level formal proofs, and bounds related to the Riemann hypothesis. Key near-term catalysts include independent verification of the Navier-Stokes claim, potential additional Millennium resolutions, and developer conferences or earnings updates that could reveal further scaling of agentic reasoning systems.
Experimental AI-generated summary referencing Polymarket data. This is not trading advice and plays no role in how this market resolves. · UpdatedRiemann Hypothesis
50%
Legendre's Conjecture
50%
P versus NP
50%
Yang-Mills
50%
Hodge Conjecture
50%
Birch and Swinnerton-Dyer
50%
Collatz Conjecture
50%
Strong Goldbach Conjecture
50%
Twin Prime Conjecture
50%
Odd Perfect Number
50%
Hadwiger-Nelson Problem
50%
Hadamard Matrix Conjecture
50%
Beal's Conjecture
50%
Ramsey Number R(5,5)
50%
$0.00 Vol.
Riemann Hypothesis
50%
Legendre's Conjecture
50%
P versus NP
50%
Yang-Mills
50%
Hodge Conjecture
50%
Birch and Swinnerton-Dyer
50%
Collatz Conjecture
50%
Strong Goldbach Conjecture
50%
Twin Prime Conjecture
50%
Odd Perfect Number
50%
Hadwiger-Nelson Problem
50%
Hadamard Matrix Conjecture
50%
Beal's Conjecture
50%
Ramsey Number R(5,5)
50%
A qualifying announcement must be made by an eligible AI lab or an official representative of the lab, and must express that the problem specified in the title has been solved; announcements of partial results or progress toward a solution will not qualify. The announcement must present the solution as the work of the lab, its researchers, or its models, alone or jointly with outside researchers. An announcement that only credits or congratulates outside researchers, including researchers who used the lab's models, compute, or research credits, will not qualify. No further confirmation from the Clay Mathematics Institute or any other organization is required.
The eligible AI labs are Anthropic, Google, SpaceXAI, Alibaba, OpenAI, Baidu, Z.ai, Xiaomi, Moonshot, Meta, Nvidia, DeepSeek, MiniMax, Meituan, Amazon, ByteDance, Mistral, Tencent, StepFun, Microsoft, Harmonic, Axiom Math, Math Inc, Safe Superintelligence, Thinking Machines Lab, Reflection AI, Periodic Labs, Apple, IBM, Huawei, Samsung, Oracle, Salesforce, Cohere, AI21 Labs, Reka, Sakana AI, Poolside, Magic, Perplexity, Anysphere, Kuaishou, SenseTime, iFlytek, Baichuan, and 01.AI, together with their subsidiaries and research divisions, and any other company with a model listed on the MMLU-pro leaderboard (https://huggingface.co/spaces/TIGER-Lab/MMLU-Pro) at the time of the announcement. Announcements by any other company, organization, or individual will not qualify.
The primary resolution source for this market will be official information from the eligible AI labs and/or their official representatives; however, a consensus of credible reporting may also be used.
Market Opened: Sep 9, 2026, 3:44 PM ET
Resolver
0x65070BE91...A qualifying announcement must be made by an eligible AI lab or an official representative of the lab, and must express that the problem specified in the title has been solved; announcements of partial results or progress toward a solution will not qualify. The announcement must present the solution as the work of the lab, its researchers, or its models, alone or jointly with outside researchers. An announcement that only credits or congratulates outside researchers, including researchers who used the lab's models, compute, or research credits, will not qualify. No further confirmation from the Clay Mathematics Institute or any other organization is required.
The eligible AI labs are Anthropic, Google, SpaceXAI, Alibaba, OpenAI, Baidu, Z.ai, Xiaomi, Moonshot, Meta, Nvidia, DeepSeek, MiniMax, Meituan, Amazon, ByteDance, Mistral, Tencent, StepFun, Microsoft, Harmonic, Axiom Math, Math Inc, Safe Superintelligence, Thinking Machines Lab, Reflection AI, Periodic Labs, Apple, IBM, Huawei, Samsung, Oracle, Salesforce, Cohere, AI21 Labs, Reka, Sakana AI, Poolside, Magic, Perplexity, Anysphere, Kuaishou, SenseTime, iFlytek, Baichuan, and 01.AI, together with their subsidiaries and research divisions, and any other company with a model listed on the MMLU-pro leaderboard (https://huggingface.co/spaces/TIGER-Lab/MMLU-Pro) at the time of the announcement. Announcements by any other company, organization, or individual will not qualify.
The primary resolution source for this market will be official information from the eligible AI labs and/or their official representatives; however, a consensus of credible reporting may also be used.
Resolver
0x65070BE91...OpenAI’s September 2026 announcement that an internal model solved the Navier-Stokes existence and smoothness problem—one of the seven Millennium Prize Problems—has sharply shifted trader expectations for AI math capabilities this year. The system deployed up to 10,000 coordinated AI agents over 88 hours, generating a Lean-verified proof at an estimated multimillion-dollar compute cost, following earlier Astra-model results on ten longstanding open problems in geometry, group theory, and combinatorics. Rival efforts from Anthropic’s Claude and Google DeepMind’s AlphaProof lineage have delivered comparable gains on Erdős problems, IMO-level formal proofs, and bounds related to the Riemann hypothesis. Key near-term catalysts include independent verification of the Navier-Stokes claim, potential additional Millennium resolutions, and developer conferences or earnings updates that could reveal further scaling of agentic reasoning systems.
Experimental AI-generated summary referencing Polymarket data. This is not trading advice and plays no role in how this market resolves. · Updated

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