Which math problems will AI solve in 2026?

As of Tue, 20 Oct 2026 12:49:45 UTC, Polymarket traders price Hodge Conjecture (22.5%), Ramsey Number R(5,5) (18.0%), Hadwiger-Nelson Problem (16.0%). The market has $62K in volume and closes on Fri, 01 Jan 2027.

Updated:

Current odds

OutcomeChanceYes priceNo price
Hodge Conjecture22.5%22.5¢77.5¢
Ramsey Number R(5,5)18.0%18.0¢82.0¢
Hadwiger-Nelson Problem16.0%16.0¢84.0¢
Hadamard Matrix Conjecture14.0%14.0¢86.0¢
Birch and Swinnerton-Dyer13.5%13.5¢86.5¢
Beal's Conjecture13.0%13.0¢87.0¢
Twin Prime Conjecture8.5%8.5¢91.5¢
Strong Goldbach Conjecture8.0%8.0¢92.0¢
Odd Perfect Number8.0%8.0¢92.0¢
Yang-Mills7.5%7.5¢92.5¢
Collatz Conjecture7.5%7.5¢92.5¢
Riemann Hypothesis7.0%7.0¢93.0¢
Legendre's Conjecture4.1%4.1¢95.9¢
P versus NP3.7%3.7¢96.3¢

Market details

Resolution rules

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.…

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