OpenAI’s September 2026 announcement that an internal multi-agent system produced a Lean-formalized proof resolving the Navier-Stokes existence and smoothness Millennium Prize Problem has sharply lifted trader expectations for further 2026 AI math breakthroughs. Large language models and agent swarms from OpenAI, Anthropic, and Google have posted verified progress on research-level benchmarks such as FrontierMath Tiers 1-4 and open conjectures, with scores climbing rapidly on problems previously requiring expert weeks or months. Competitive dynamics center on scaling compute, formal verification pipelines, and novel agent orchestration rather than single-model prompting. Key upcoming catalysts include additional FrontierMath releases, potential public model updates, and independent mathematician reviews of claimed proofs before year-end resolution. Market-implied odds reflect aggregated capital on these verifiable advances amid acknowledged risks of timeline slippage or verification disputes.
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
63%
Hodge Conjecture
60%
Hadamard Matrix Conjecture
34%
Odd Perfect Number
31%
Collatz Conjecture
30%
Beal's Conjecture
27%
Legendre's Conjecture
26%
Ramsey Number R(5,5)
25%
Yang-Mills
17%
Strong Goldbach Conjecture
15%
Twin Prime Conjecture
14%
Riemann Hypothesis
10%
P versus NP
5%
Hadwiger-Nelson Problem
45%
$3,989 Vol.
Birch and Swinnerton-Dyer
63%
Hodge Conjecture
60%
Hadamard Matrix Conjecture
34%
Odd Perfect Number
31%
Collatz Conjecture
30%
Beal's Conjecture
27%
Legendre's Conjecture
26%
Ramsey Number R(5,5)
25%
Yang-Mills
17%
Strong Goldbach Conjecture
15%
Twin Prime Conjecture
14%
Riemann Hypothesis
10%
P versus NP
5%
Hadwiger-Nelson Problem
45%
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 multi-agent system produced a Lean-formalized proof resolving the Navier-Stokes existence and smoothness Millennium Prize Problem has sharply lifted trader expectations for further 2026 AI math breakthroughs. Large language models and agent swarms from OpenAI, Anthropic, and Google have posted verified progress on research-level benchmarks such as FrontierMath Tiers 1-4 and open conjectures, with scores climbing rapidly on problems previously requiring expert weeks or months. Competitive dynamics center on scaling compute, formal verification pipelines, and novel agent orchestration rather than single-model prompting. Key upcoming catalysts include additional FrontierMath releases, potential public model updates, and independent mathematician reviews of claimed proofs before year-end resolution. Market-implied odds reflect aggregated capital on these verifiable advances amid acknowledged risks of timeline slippage or verification disputes.
Experimental AI-generated summary referencing Polymarket data. This is not trading advice and plays no role in how this market resolves. · Updated


Beware of external links.
Beware of external links.
Frequently Asked Questions