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“Will AI solve Legendre's conjecture in 2026?” is a prediction market on Polymarket with two tradeable outcomes, Yes and No. It belongs to the event “Which math problems will AI solve in 2026?”. The Yes price is the crowd's implied probability that the question resolves Yes; every trade on the public order book moves it.
Trading is open until Jan 1, 2027. As of Sep 14, 9:18 AM, Yes trades at 25.5¢, a 25.5% implied chance, $24 traded in the last 24 hours, $540.58 resting in the order book, a 1.0% bid-ask spread.
Vultax observes this market from Polymarket's public order book and data API and keeps its own record: 25 hourly price points from Sep 13, 2026 to Sep 14, 2026 (Yes between 25.5% and 25.5%); 2 loaded holder wallets, the largest ten holding 100.0% of the loaded shares; 2 recent public fills from 2 wallets. Each figure carries its observation time; nothing here is a return forecast.
Public Polymarket market/event context is available; Vultax source-pack coverage is tracked separately.
Current public quote is shown when Vultax depth snapshots are unavailable.
Nine stops, one per figure on this page. Each stop says what the number is, why it matters, and what it reads right now for this market.
Each outcome trades as a share that pays $1 if it wins and nothing if it loses. Prices are quoted in cents, and Yes plus No add up to about one dollar.
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.
Official listing: polymarket.com/event/will-ai-solve-legendres-conjecture-in-2026
The Yes price read as a chance. A share at 21.5¢ means the crowd gives Yes about a 21.5% chance right now. It moves with every trade, so it is a live forecast, not a verdict.
Dollar value of shares that changed hands in the last 24 hours. High volume means the price is being tested by real money; low volume means a few trades can move it.
Dollars resting in the order book, waiting to be traded against. Deep liquidity lets a large order fill near the quoted price; thin liquidity means the price jumps when someone trades size.
The gap between the best bid and the best ask. A tight spread makes entry and exit cheap; a wide spread is a cost paid on every round trip.
The wallets holding the most shares on each side, and how much of the loaded sample the largest ten control. Concentration shows whether a market is a crowd or a handful of large positions.
The public fills, newest first: which wallet bought or sold which outcome, at what price, and when. It is the market's own diary, and every wallet on it links to a trader profile.
Hourly closes of the Yes price. The range shows how sure or split the crowd has been; the move shows which way it has been changing its mind.
Trading stops at the close time. The outcome is then settled by the resolution source named in the rules. A closed market is not resolved until the venue reports it, so the two states are shown separately.
| Trader | Outcome | Shares |
|---|---|---|
| AJSV | Yes | 12 |
| Laribobibo | No | 12 |