OpenAI’s September 8 announcement that an unreleased internal model, running thousands of autonomous AI agents, produced a Lean-verified proof resolving key statements of the Navier-Stokes existence and smoothness Millennium Prize Problem has sharply shifted trader sentiment. The effort, completed in roughly 88 hours at multimillion-dollar compute cost, followed closely on concurrent AI-assisted work by Anthropic’s Levent Alpöge and NYU’s Tristan Buckmaster on related Euler and Boussinesq results, highlighting intensifying lab competition in formal mathematics. This breakthrough demonstrates frontier large language models’ growing capacity for research-grade proof generation and formal verification, raising implied probabilities of additional AI-driven solutions to remaining problems such as Yang-Mills or the Riemann Hypothesis. Key near-term catalysts include peer-review scrutiny, Clay Institute responses, and any follow-on announcements from OpenAI, Anthropic, or Google DeepMind ahead of the market’s resolution window.
Experimental AI-generated summary referencing Polymarket data. This is not trading advice and plays no role in how this market resolves. · UpdatedNEW
Sep 30, 2026
September 30, 2026
11%
December 31, 2026
37%
December 31, 2027
75%
$2,283 Vol.
September 30, 2026
$234 Vol.
11%
December 31, 2026
$1,257 Vol.
37%
December 31, 2027
$792 Vol.
75%
This market will resolve to "Yes" if an eligible AI lab, or an official representative of an eligible AI lab, announces that the lab has solved any of the qualifying Millennium Prize Problems by 11:59 PM ET of the date specified in the title. Otherwise, this market will resolve to "No".
The qualifying problems are the Riemann Hypothesis, P versus NP, the Yang-Mills existence and mass gap problem, the Hodge Conjecture, and the Birch and Swinnerton-Dyer Conjecture (https://www.claymath.org/millennium-problems/). Announcements concerning the Navier-Stokes existence and smoothness problem will not qualify.
A qualifying announcement must express that the problem 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 Clay Math 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.
OpenAI’s September 8 announcement that an unreleased internal model, running thousands of autonomous AI agents, produced a Lean-verified proof resolving key statements of the Navier-Stokes existence and smoothness Millennium Prize Problem has sharply shifted trader sentiment. The effort, completed in roughly 88 hours at multimillion-dollar compute cost, followed closely on concurrent AI-assisted work by Anthropic’s Levent Alpöge and NYU’s Tristan Buckmaster on related Euler and Boussinesq results, highlighting intensifying lab competition in formal mathematics. This breakthrough demonstrates frontier large language models’ growing capacity for research-grade proof generation and formal verification, raising implied probabilities of additional AI-driven solutions to remaining problems such as Yang-Mills or the Riemann Hypothesis. Key near-term catalysts include peer-review scrutiny, Clay Institute responses, and any follow-on announcements from OpenAI, Anthropic, or Google DeepMind ahead of the market’s resolution window.
This market will resolve to "Yes" if an eligible AI lab, or an official representative of an eligible AI lab, announces that the lab has solved any of the qualifying Millennium Prize Problems by 11:59 PM ET of the date specified in the title. Otherwise, this market will resolve to "No".
The qualifying problems are the Riemann Hypothesis, P versus NP, the Yang-Mills existence and mass gap problem, the Hodge Conjecture, and the Birch and Swinnerton-Dyer Conjecture (https://www.claymath.org/millennium-problems/). Announcements concerning the Navier-Stokes existence and smoothness problem will not qualify.
A qualifying announcement must express that the problem 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 Clay Math 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.
The qualifying problems are the Riemann Hypothesis, P versus NP, the Yang-Mills existence and mass gap problem, the Hodge Conjecture, and the Birch and Swinnerton-Dyer Conjecture (https://www.claymath.org/millennium-problems/). Announcements concerning the Navier-Stokes existence and smoothness problem will not qualify.
A qualifying announcement must express that the problem 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 Clay Math 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 8, 2026, 3:28 PM ET
Volume
$2,283End Date
Jan 1, 2028Market Opened
Sep 8, 2026, 3:28 PM ETResolver
0x65070BE91...This market will resolve to "Yes" if an eligible AI lab, or an official representative of an eligible AI lab, announces that the lab has solved any of the qualifying Millennium Prize Problems by 11:59 PM ET of the date specified in the title. Otherwise, this market will resolve to "No".
The qualifying problems are the Riemann Hypothesis, P versus NP, the Yang-Mills existence and mass gap problem, the Hodge Conjecture, and the Birch and Swinnerton-Dyer Conjecture (https://www.claymath.org/millennium-problems/). Announcements concerning the Navier-Stokes existence and smoothness problem will not qualify.
A qualifying announcement must express that the problem 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 Clay Math 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.
OpenAI’s September 8 announcement that an unreleased internal model, running thousands of autonomous AI agents, produced a Lean-verified proof resolving key statements of the Navier-Stokes existence and smoothness Millennium Prize Problem has sharply shifted trader sentiment. The effort, completed in roughly 88 hours at multimillion-dollar compute cost, followed closely on concurrent AI-assisted work by Anthropic’s Levent Alpöge and NYU’s Tristan Buckmaster on related Euler and Boussinesq results, highlighting intensifying lab competition in formal mathematics. This breakthrough demonstrates frontier large language models’ growing capacity for research-grade proof generation and formal verification, raising implied probabilities of additional AI-driven solutions to remaining problems such as Yang-Mills or the Riemann Hypothesis. Key near-term catalysts include peer-review scrutiny, Clay Institute responses, and any follow-on announcements from OpenAI, Anthropic, or Google DeepMind ahead of the market’s resolution window.
This market will resolve to "Yes" if an eligible AI lab, or an official representative of an eligible AI lab, announces that the lab has solved any of the qualifying Millennium Prize Problems by 11:59 PM ET of the date specified in the title. Otherwise, this market will resolve to "No".
The qualifying problems are the Riemann Hypothesis, P versus NP, the Yang-Mills existence and mass gap problem, the Hodge Conjecture, and the Birch and Swinnerton-Dyer Conjecture (https://www.claymath.org/millennium-problems/). Announcements concerning the Navier-Stokes existence and smoothness problem will not qualify.
A qualifying announcement must express that the problem 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 Clay Math 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.
The qualifying problems are the Riemann Hypothesis, P versus NP, the Yang-Mills existence and mass gap problem, the Hodge Conjecture, and the Birch and Swinnerton-Dyer Conjecture (https://www.claymath.org/millennium-problems/). Announcements concerning the Navier-Stokes existence and smoothness problem will not qualify.
A qualifying announcement must express that the problem 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 Clay Math 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.
Volume
$2,283End Date
Jan 1, 2028Market Opened
Sep 8, 2026, 3:28 PM ETResolver
0x65070BE91...OpenAI’s September 8 announcement that an unreleased internal model, running thousands of autonomous AI agents, produced a Lean-verified proof resolving key statements of the Navier-Stokes existence and smoothness Millennium Prize Problem has sharply shifted trader sentiment. The effort, completed in roughly 88 hours at multimillion-dollar compute cost, followed closely on concurrent AI-assisted work by Anthropic’s Levent Alpöge and NYU’s Tristan Buckmaster on related Euler and Boussinesq results, highlighting intensifying lab competition in formal mathematics. This breakthrough demonstrates frontier large language models’ growing capacity for research-grade proof generation and formal verification, raising implied probabilities of additional AI-driven solutions to remaining problems such as Yang-Mills or the Riemann Hypothesis. Key near-term catalysts include peer-review scrutiny, Clay Institute responses, and any follow-on announcements from OpenAI, Anthropic, or Google DeepMind ahead of the market’s resolution window.
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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