Recent announcements from OpenAI on September 8, 2026, claiming its unreleased multi-agent Astra model generated a formal proof for the Navier-Stokes existence and smoothness Millennium Problem in 88 hours using up to 10,000 coordinated agents have sharply elevated trader expectations for AI-driven advances on major open conjectures this year. Complementary progress includes Anthropic’s Claude improving bounds related to the Riemann hypothesis, OpenAI’s earlier disproof of the Erdős unit-distance conjecture, and consistent medal-level or better performance on IMO problems by systems from Google DeepMind and others throughout 2025–2026. These results stem from test-time scaling, multi-agent harnesses, and formal verification tools like Lean, though independent mathematician review of the Navier-Stokes claim remains pending and could introduce volatility if verification hurdles emerge before year-end.
Experimental AI-generated summary referencing Polymarket data. This is not trading advice and plays no role in how this market resolves. · UpdatedNEW
Dec 31, 2026
Hodge Conjecture
58%
Birch and Swinnerton-Dyer
57%
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
50%
P versus NP
46%
$78 Vol.
Hodge Conjecture
$0 Vol.
58%
Birch and Swinnerton-Dyer
$0 Vol.
57%
Legendre's Conjecture
$0 Vol.
50%
Yang-Mills
$0 Vol.
50%
Collatz Conjecture
$0 Vol.
50%
Strong Goldbach Conjecture
$0 Vol.
50%
Twin Prime Conjecture
$0 Vol.
50%
Odd Perfect Number
$0 Vol.
50%
Hadwiger-Nelson Problem
$0 Vol.
50%
Hadamard Matrix Conjecture
$0 Vol.
50%
Beal's Conjecture
$0 Vol.
50%
Ramsey Number R(5,5)
$0 Vol.
50%
Riemann Hypothesis
$0 Vol.
50%
P versus NP
$78 Vol.
46%
This market will resolve to "Yes" if an eligible AI lab announces a solution to the problem specified in the title by December 31, 2026, 11:59 PM ET. Otherwise, this market will resolve to "No".
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.Recent announcements from OpenAI on September 8, 2026, claiming its unreleased multi-agent Astra model generated a formal proof for the Navier-Stokes existence and smoothness Millennium Problem in 88 hours using up to 10,000 coordinated agents have sharply elevated trader expectations for AI-driven advances on major open conjectures this year. Complementary progress includes Anthropic’s Claude improving bounds related to the Riemann hypothesis, OpenAI’s earlier disproof of the Erdős unit-distance conjecture, and consistent medal-level or better performance on IMO problems by systems from Google DeepMind and others throughout 2025–2026. These results stem from test-time scaling, multi-agent harnesses, and formal verification tools like Lean, though independent mathematician review of the Navier-Stokes claim remains pending and could introduce volatility if verification hurdles emerge before year-end.
This market will resolve to "Yes" if an eligible AI lab announces a solution to the problem specified in the title by December 31, 2026, 11:59 PM ET. Otherwise, this market will resolve to "No".
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.
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
Volume
$78End Date
Jan 1, 2027Market Opened
Sep 9, 2026, 3:44 PM ETResolver
0x65070BE91...This market will resolve to "Yes" if an eligible AI lab announces a solution to the problem specified in the title by December 31, 2026, 11:59 PM ET. Otherwise, this market will resolve to "No".
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.Recent announcements from OpenAI on September 8, 2026, claiming its unreleased multi-agent Astra model generated a formal proof for the Navier-Stokes existence and smoothness Millennium Problem in 88 hours using up to 10,000 coordinated agents have sharply elevated trader expectations for AI-driven advances on major open conjectures this year. Complementary progress includes Anthropic’s Claude improving bounds related to the Riemann hypothesis, OpenAI’s earlier disproof of the Erdős unit-distance conjecture, and consistent medal-level or better performance on IMO problems by systems from Google DeepMind and others throughout 2025–2026. These results stem from test-time scaling, multi-agent harnesses, and formal verification tools like Lean, though independent mathematician review of the Navier-Stokes claim remains pending and could introduce volatility if verification hurdles emerge before year-end.
This market will resolve to "Yes" if an eligible AI lab announces a solution to the problem specified in the title by December 31, 2026, 11:59 PM ET. Otherwise, this market will resolve to "No".
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.
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.
Volume
$78End Date
Jan 1, 2027Market Opened
Sep 9, 2026, 3:44 PM ETResolver
0x65070BE91...Recent announcements from OpenAI on September 8, 2026, claiming its unreleased multi-agent Astra model generated a formal proof for the Navier-Stokes existence and smoothness Millennium Problem in 88 hours using up to 10,000 coordinated agents have sharply elevated trader expectations for AI-driven advances on major open conjectures this year. Complementary progress includes Anthropic’s Claude improving bounds related to the Riemann hypothesis, OpenAI’s earlier disproof of the Erdős unit-distance conjecture, and consistent medal-level or better performance on IMO problems by systems from Google DeepMind and others throughout 2025–2026. These results stem from test-time scaling, multi-agent harnesses, and formal verification tools like Lean, though independent mathematician review of the Navier-Stokes claim remains pending and could introduce volatility if verification hurdles emerge before year-end.
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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