AZ-08 House winner? (2028): Republican party 91% ▲ 91AZ-09 House winner? (2028): Republican party 82% ▲ 82Big Bash League, Women: Sydney Sixers vs Syd… 9% ▼ 41Abu Dhabi T10 League: United Tigers vs Arabi… 9% ▼ 41Peak traffic through the Strait of Hormuz? (… 92% ▲ 39College Football Playoff Qualifiers: Ohio St. 14% ▼ 37Test Match: Afghanistan vs Zimbabwe: Zimbabwe 3% ▼ 29Test Match: Afghanistan vs Zimbabwe: Draw 77% ▲ 24Will Pete Hegseth be impeached: Before Apr 1… 83% ▲ 23Brazilian Grand Prix: Driver Winner: Max Ver… 13% ▼ 23Pete Hegseth impeached by...: March 31, 2027 78% ▲ 20Jonathan Taylor Next Team: New York G 31% ▼ 20Next Israeli government # of seats: <58 72% ▲ 20NCAA Football: 2026 Heisman Award Winner: CJ… 32% ▲ 19Khamenei # posts November 3 - November 10, 2… 85% ▲ 18Heisman Trophy Winner: CJ Carr 34% ▲ 18What will Trump say during 60 Minutes: Iran … 75% ▼ 17ATP Paris Winner: Carlos Alcaraz 77% ▲ 17NCAA Football: 2026 Heisman Award Winner: Je… 21% ▼ 17College Football Playoff Qualifiers: Texas 73% ▲ 17How much will Anthropic raise in its IPO: $6… 37% ▲ 17What will Trump say during 60 Minutes: Ukraine 69% ▼ 16Heisman Trophy Winner: Jeremiah Smith 23% ▼ 16Traffic through the Strait of Hormuz? (11/2 … 46% ▼ 15AZ-08 House winner? (2028): Republican party 91% ▲ 91AZ-09 House winner? (2028): Republican party 82% ▲ 82Big Bash League, Women: Sydney Sixers vs Syd… 9% ▼ 41Abu Dhabi T10 League: United Tigers vs Arabi… 9% ▼ 41Peak traffic through the Strait of Hormuz? (… 92% ▲ 39College Football Playoff Qualifiers: Ohio St. 14% ▼ 37Test Match: Afghanistan vs Zimbabwe: Zimbabwe 3% ▼ 29Test Match: Afghanistan vs Zimbabwe: Draw 77% ▲ 24Will Pete Hegseth be impeached: Before Apr 1… 83% ▲ 23Brazilian Grand Prix: Driver Winner: Max Ver… 13% ▼ 23Pete Hegseth impeached by...: March 31, 2027 78% ▲ 20Jonathan Taylor Next Team: New York G 31% ▼ 20Next Israeli government # of seats: <58 72% ▲ 20NCAA Football: 2026 Heisman Award Winner: CJ… 32% ▲ 19Khamenei # posts November 3 - November 10, 2… 85% ▲ 18Heisman Trophy Winner: CJ Carr 34% ▲ 18What will Trump say during 60 Minutes: Iran … 75% ▼ 17ATP Paris Winner: Carlos Alcaraz 77% ▲ 17NCAA Football: 2026 Heisman Award Winner: Je… 21% ▼ 17College Football Playoff Qualifiers: Texas 73% ▲ 17How much will Anthropic raise in its IPO: $6… 37% ▲ 17What will Trump say during 60 Minutes: Ukraine 69% ▼ 16Heisman Trophy Winner: Jeremiah Smith 23% ▼ 16Traffic through the Strait of Hormuz? (11/2 … 46% ▼ 15

Which Millennium Prize Problem will AI solve next Odds

Polymarket traders give No solution by Dec 31, 2027 a 30% chance.

Polymarket Volume $333K 24h $7.0K Liquidity $29.6K Ends Jan 1, 2028 Updated Nov 8, 6:00 AM EST
OutcomeChanceOdds24h
No solution by Dec 31, 2027
30% +239 —
Yang-Mills
26% +282 ▲ 5
Hodge Conjecture
19% +441 ▼ 1
Birch and Swinnerton-Dyer
7% +1329 ▼ 8
Riemann Hypothesis
4% +2253 ▲ 1
P versus NP
2% +5782 —

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Price history

0% 25% 50% 75% 100% Oct 16 Nov 8
No solution by Dec 31, 2027Yang-MillsHodge ConjectureBirch and Swinnerton-Dyer

Resolution rules

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.

Source: Polymarket. The venue's rules are final.

FAQ

Who is favored in Which Millennium Prize Problem will AI solve next?

As of Nov 8, 6:00 AM EST, traders on Polymarket price No solution by Dec 31, 2027 at 30%, about +239 in American odds. Prices move with every trade.

How are prediction market odds calculated?

Each contract pays $1 if the outcome happens and $0 if it doesn't, so its price is the market's implied probability: a 60¢ contract means roughly a 60% chance. We show the last trade, or the midpoint between the best bid and ask when the order book is tight.

When does this market close?

Polymarket lists Jan 1, 2028 as the end date. It can close earlier if the outcome is decided.

Where can I trade on Which Millennium Prize Problem will AI solve next?

This market trades on Polymarket. Availability depends on where you live: Kalshi is a CFTC-regulated US exchange, while Polymarket's international site isn't available to US users (Polymarket US is a separate app). You must be 18 or older.