OpenAI’s September 8 announcement that an unreleased model solved the Navier-Stokes existence and smoothness problem—one of the Millennium Prize Problems—has sharply raised trader expectations for further AI breakthroughs by year-end. The result, produced in 88 hours with thousands of AI agents and later formalized in Lean, marks the first verified AI resolution of a classic million-dollar math challenge and builds on OpenAI’s August report of substantial progress on ten longstanding problems in geometry, group theory, and complexity. Anthropic’s Claude has meanwhile improved bounds tied to the Riemann hypothesis, while earlier 2026 advances include counterexamples to Erdős conjectures and solutions to unpublished research problems. Traders are watching for additional formal verifications, prize claims, or benchmark jumps before December 31, though independent expert review and questions around data provenance could still affect resolution.
Experimental AI-generated summary referencing Polymarket data. This is not trading advice and plays no role in how this market resolves. · UpdatedBirch and Swinnerton-Dyer
64%
Hodge Conjecture
56%
Legendre's Conjecture
50%
Yang-Mills
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%
Riemann Hypothesis
49%
P versus NP
30%
$393 Vol.
Birch and Swinnerton-Dyer
64%
Hodge Conjecture
56%
Legendre's Conjecture
50%
Yang-Mills
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%
Riemann Hypothesis
49%
P versus NP
30%
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 8 announcement that an unreleased model solved the Navier-Stokes existence and smoothness problem—one of the Millennium Prize Problems—has sharply raised trader expectations for further AI breakthroughs by year-end. The result, produced in 88 hours with thousands of AI agents and later formalized in Lean, marks the first verified AI resolution of a classic million-dollar math challenge and builds on OpenAI’s August report of substantial progress on ten longstanding problems in geometry, group theory, and complexity. Anthropic’s Claude has meanwhile improved bounds tied to the Riemann hypothesis, while earlier 2026 advances include counterexamples to Erdős conjectures and solutions to unpublished research problems. Traders are watching for additional formal verifications, prize claims, or benchmark jumps before December 31, though independent expert review and questions around data provenance could still affect resolution.
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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