Which Millennium Prize Problem will AI solve next? Polymarket odds
On Polymarket, the favourite is No solution by Dec 31, 2027, at 41%. The market settles by Dec 31, 2027, and $10K traded in the last 24 hours. Each contract pays $1 if it is right, so 41¢ reads as a 41% chance.
Polymarket · odds · updated
Polymarket odds on every outcome
| Outcome | Chance | Yes price | 24h volume | |
|---|---|---|---|---|
| No solution by Dec 31, 2027 | 41% | 41¢ | $6K | Trade |
| Hodge Conjecture | 35% | 35¢ | $1K | Trade |
| Birch and Swinnerton-Dyer | 21% | 21¢ | $801 | Trade |
| Yang-Mills | 4% | 4¢ | $534 | Trade |
| P versus NP | 2% | 2¢ | $466 | Trade |
| Riemann Hypothesis | 2% | 2¢ | $460 | Trade |
Chance is each outcome's Yes price on Polymarket. A Yes contract at 41¢ pays $1 if that outcome wins.
How the odds have moved
Polymarket's own series for the outcome the headline prices, from where its history starts; one venue, not a blend.
How this market resolves
Polymarket's own settlement wording, in full. This, not the headline, decides who gets paid.
Show the full 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.
Scheduled resolution: Dec 31, 2027.
How to trade this market on Polymarket
- Check your state first. A few states restrict some contracts.
- Open a Polymarket account. Americans trade on Polymarket US. Our Polymarket review covers sign-up and payouts.
- Buy Yes or No at the price shown, 41¢ for No solution by Dec 31, 2027 right now. Each contract pays $1 if you are right.
- Sell any time before it settles, or hold to the result. Polymarket's fees apply to each trade.
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Common questions
What are the Polymarket odds on “Which Millennium Prize Problem will AI solve next?”?
On Polymarket, the favourite is No solution by Dec 31, 2027, at 41%. That is a market-implied probability, not a forecast, and it moves as traders buy and sell.
How does this market resolve?
By Polymarket's own settlement rules for this market. Two venues can word the same question differently and settle differently, so read them before you trade.
Is this question on Kalshi too?
We have not matched it to a Kalshi market yet. When we do, both prices appear side by side here.
Can I trade this market in my state?
In most states, yes, on Polymarket US. A few states have acted against some contracts. Check your state first.
How accurate are Polymarket odds?
Often more accurate than polls, though never certain. A price of 70% should lose three times in ten. How accurate prediction markets are has the research.
What does it cost to trade on Polymarket?
A taker fee on most markets, largest near 50¢, and some categories charge nothing. Polymarket's fees has the detail.