Recent AI advances in theorem-proving, including OpenAI’s September 2026 multi-agent solution to the Navier-Stokes equations and Anthropic’s Claude-driven improvements on Riemann zeta bounds, have raised expectations for rapid progress on remaining Millennium problems. Traders assign the highest implied probability to no additional solution by December 2027 because full verification in systems like Lean, expert scrutiny, and conceptual breakthroughs for abstract conjectures still require substantial time. Hodge Conjecture leads among specific problems due to its algebraic geometry structure, where AI systems have shown relative strength in pattern recognition and formalization tasks. Birch and Swinnerton-Dyer and Riemann Hypothesis follow, reflecting ongoing number-theory work, while P versus NP and Yang-Mills remain low-probability given their computational and physical complexity barriers.
Polymarketデータを参照したAI生成の実験的な要約。これは取引アドバイスではなく、このマーケットの解決方法には一切関係ありません。 · 更新日2027年12月31日までに解決なし 37%
ホッジ予想 27%
バーチ・スウィンナートン＝ダイアー 20%
リーマン予想 17%
新規
新規
2027/12/31
2027年12月31日までに解決なし
37%
ホッジ予想
27%
バーチ・スウィンナートン＝ダイアー
20%
リーマン予想
17%
ヤン・ミルズ
4%
P対NP
4%
2027年12月31日までに解決なし 37%
ホッジ予想 27%
バーチ・スウィンナートン＝ダイアー 20%
リーマン予想 17%
新規
新規
2027/12/31
2027年12月31日までに解決なし
$422 Vol.
37%
ホッジ予想
$1,449 Vol.
27%
バーチ・スウィンナートン＝ダイアー
$81 Vol.
20%
リーマン予想
$370 Vol.
17%
ヤン・ミルズ
$81 Vol.
4%
P対NP
$61 Vol.
4%
This market will resolve according to the first qualifying Millennium Prize Problem for which an eligible AI lab announces a solution by December 31, 2027, 11:59 PM ET.
If no eligible AI lab announces a solution to a qualifying problem by December 31, 2027, 11:59 PM ET, this market will resolve to "No solution by Dec 31, 2027". If solutions to two or more qualifying problems are announced on the same calendar day (ET), this market will resolve to the problem whose name, as listed below, comes first in alphabetical order.
The qualifying problems are, in alphabetical order, the Birch and Swinnerton-Dyer Conjecture, the Hodge Conjecture, P versus NP, the Riemann Hypothesis, and the Yang-Mills existence and mass gap problem (https://www.claymath.org/millennium-problems/). Announcements concerning the Navier-Stokes existence and smoothness problem will not qualify.
A qualifying announcement must be made by an eligible AI lab or an official representative of the lab, and 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.Recent AI advances in theorem-proving, including OpenAI’s September 2026 multi-agent solution to the Navier-Stokes equations and Anthropic’s Claude-driven improvements on Riemann zeta bounds, have raised expectations for rapid progress on remaining Millennium problems. Traders assign the highest implied probability to no additional solution by December 2027 because full verification in systems like Lean, expert scrutiny, and conceptual breakthroughs for abstract conjectures still require substantial time. Hodge Conjecture leads among specific problems due to its algebraic geometry structure, where AI systems have shown relative strength in pattern recognition and formalization tasks. Birch and Swinnerton-Dyer and Riemann Hypothesis follow, reflecting ongoing number-theory work, while P versus NP and Yang-Mills remain low-probability given their computational and physical complexity barriers.
This market will resolve according to the first qualifying Millennium Prize Problem for which an eligible AI lab announces a solution by December 31, 2027, 11:59 PM ET.
If no eligible AI lab announces a solution to a qualifying problem by December 31, 2027, 11:59 PM ET, this market will resolve to "No solution by Dec 31, 2027". If solutions to two or more qualifying problems are announced on the same calendar day (ET), this market will resolve to the problem whose name, as listed below, comes first in alphabetical order.
The qualifying problems are, in alphabetical order, the Birch and Swinnerton-Dyer Conjecture, the Hodge Conjecture, P versus NP, the Riemann Hypothesis, and the Yang-Mills existence and mass gap problem (https://www.claymath.org/millennium-problems/). Announcements concerning the Navier-Stokes existence and smoothness problem will not qualify.
A qualifying announcement must be made by an eligible AI lab or an official representative of the lab, and 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.
If no eligible AI lab announces a solution to a qualifying problem by December 31, 2027, 11:59 PM ET, this market will resolve to "No solution by Dec 31, 2027". If solutions to two or more qualifying problems are announced on the same calendar day (ET), this market will resolve to the problem whose name, as listed below, comes first in alphabetical order.
The qualifying problems are, in alphabetical order, the Birch and Swinnerton-Dyer Conjecture, the Hodge Conjecture, P versus NP, the Riemann Hypothesis, and the Yang-Mills existence and mass gap problem (https://www.claymath.org/millennium-problems/). Announcements concerning the Navier-Stokes existence and smoothness problem will not qualify.
A qualifying announcement must be made by an eligible AI lab or an official representative of the lab, and 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.
マーケット開始日： Sep 9, 2026, 3:43 PM ET
音量
$2,465終了日
2028/01/01マーケット開始日
Sep 9, 2026, 3:43 PM ETリゾルバー
0x69c47De9D...This market will resolve according to the first qualifying Millennium Prize Problem for which an eligible AI lab announces a solution by December 31, 2027, 11:59 PM ET.
If no eligible AI lab announces a solution to a qualifying problem by December 31, 2027, 11:59 PM ET, this market will resolve to "No solution by Dec 31, 2027". If solutions to two or more qualifying problems are announced on the same calendar day (ET), this market will resolve to the problem whose name, as listed below, comes first in alphabetical order.
The qualifying problems are, in alphabetical order, the Birch and Swinnerton-Dyer Conjecture, the Hodge Conjecture, P versus NP, the Riemann Hypothesis, and the Yang-Mills existence and mass gap problem (https://www.claymath.org/millennium-problems/). Announcements concerning the Navier-Stokes existence and smoothness problem will not qualify.
A qualifying announcement must be made by an eligible AI lab or an official representative of the lab, and 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.Recent AI advances in theorem-proving, including OpenAI’s September 2026 multi-agent solution to the Navier-Stokes equations and Anthropic’s Claude-driven improvements on Riemann zeta bounds, have raised expectations for rapid progress on remaining Millennium problems. Traders assign the highest implied probability to no additional solution by December 2027 because full verification in systems like Lean, expert scrutiny, and conceptual breakthroughs for abstract conjectures still require substantial time. Hodge Conjecture leads among specific problems due to its algebraic geometry structure, where AI systems have shown relative strength in pattern recognition and formalization tasks. Birch and Swinnerton-Dyer and Riemann Hypothesis follow, reflecting ongoing number-theory work, while P versus NP and Yang-Mills remain low-probability given their computational and physical complexity barriers.
This market will resolve according to the first qualifying Millennium Prize Problem for which an eligible AI lab announces a solution by December 31, 2027, 11:59 PM ET.
If no eligible AI lab announces a solution to a qualifying problem by December 31, 2027, 11:59 PM ET, this market will resolve to "No solution by Dec 31, 2027". If solutions to two or more qualifying problems are announced on the same calendar day (ET), this market will resolve to the problem whose name, as listed below, comes first in alphabetical order.
The qualifying problems are, in alphabetical order, the Birch and Swinnerton-Dyer Conjecture, the Hodge Conjecture, P versus NP, the Riemann Hypothesis, and the Yang-Mills existence and mass gap problem (https://www.claymath.org/millennium-problems/). Announcements concerning the Navier-Stokes existence and smoothness problem will not qualify.
A qualifying announcement must be made by an eligible AI lab or an official representative of the lab, and 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.
If no eligible AI lab announces a solution to a qualifying problem by December 31, 2027, 11:59 PM ET, this market will resolve to "No solution by Dec 31, 2027". If solutions to two or more qualifying problems are announced on the same calendar day (ET), this market will resolve to the problem whose name, as listed below, comes first in alphabetical order.
The qualifying problems are, in alphabetical order, the Birch and Swinnerton-Dyer Conjecture, the Hodge Conjecture, P versus NP, the Riemann Hypothesis, and the Yang-Mills existence and mass gap problem (https://www.claymath.org/millennium-problems/). Announcements concerning the Navier-Stokes existence and smoothness problem will not qualify.
A qualifying announcement must be made by an eligible AI lab or an official representative of the lab, and 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.
音量
$2,465終了日
2028/01/01マーケット開始日
Sep 9, 2026, 3:43 PM ETリゾルバー
0x69c47De9D...Recent AI advances in theorem-proving, including OpenAI’s September 2026 multi-agent solution to the Navier-Stokes equations and Anthropic’s Claude-driven improvements on Riemann zeta bounds, have raised expectations for rapid progress on remaining Millennium problems. Traders assign the highest implied probability to no additional solution by December 2027 because full verification in systems like Lean, expert scrutiny, and conceptual breakthroughs for abstract conjectures still require substantial time. Hodge Conjecture leads among specific problems due to its algebraic geometry structure, where AI systems have shown relative strength in pattern recognition and formalization tasks. Birch and Swinnerton-Dyer and Riemann Hypothesis follow, reflecting ongoing number-theory work, while P versus NP and Yang-Mills remain low-probability given their computational and physical complexity barriers.
Polymarketデータを参照したAI生成の実験的な要約。これは取引アドバイスではなく、このマーケットの解決方法には一切関係ありません。 · 更新日
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