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Which Millennium Prize Problem will AI solve next?

Comparison of odds and platforms for "Which Millennium Prize Problem will AI solve next?" — sourced live from the Polymarket order book, curated by Kalshi vs Polymarket.

Hodge Conjecture 45% Birch and Swinnerton-Dyer 28% No solution by Dec 31, 2027 13% Yang-Mills 11% Volume: $63K Liquidity: $53K Closes: 1 Jan 2028
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Which Millennium Prize Problem will AI solve next?

Platform comparison

PlatformYES oddsNO oddsFeeKYCSettlement
Polymarket (via Kalshi vs Polymarket) Pick
polygram.ink (preferred broker)
45% 55% 0% (USDC on-chain) No-KYC up to $1,500 USDC, auto via UMA oracle View on Polymarket →
Polymarket (direct)
polymarket.com
45% 55% 0% Geo-blocked in US/UK/EU USDC, on-chain View on Polymarket →
Kalshi
kalshi.com
Up to 7% per trade US-only, KYC required USD View on Polymarket →
Betfair Exchange
betfair.com
2-5% commission Full KYC from first trade GBP / EUR View on Polymarket →
Manifold Markets
manifold.markets
Play-money (mana) None — play-money Mana (no cash-out) View on Polymarket →

Outcome probabilities

Current market-implied probability for each outcome, from the live order book.

OutcomeProbability
Hodge Conjecture45%
Birch and Swinnerton-Dyer28%
No solution by Dec 31, 202713%
Yang-Mills11%
Riemann Hypothesis4%
P versus NP1%

Market context

Traders on decentralised prediction markets give 45% probability to which millennium prize problem will ai solve next?. 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 announce…

Methodology

This page is a comparison snapshot: one live quote, four reference venues with their key attributes, and a single execution path — every trade button routes to Kalshi vs Polymarket, which mirrors the Polymarket order book directly.

Resolution & payout

Polymarket-based markets settle through the UMA Optimistic Oracle on Polygon. A proposer submits the outcome, a two-hour challenge window opens, and unchallenged proposals finalise the resolution. Payouts settle automatically in USDC the moment the result is final — no bookmaker, no delay.

Kalshi-based markets settle in USD via the CFTC-regulated clearinghouse. Betfair Exchange settles in GBP/EUR net of commission. Manifold is play-money and does not pay out real funds.

FAQ

Where can I trade this market with the lowest fees?
Polymarket is geo-blocked in the US/UK/EU. The easiest 0%-fee broker into the same order book is Kalshi vs Polymarket. Kalshi charges up to 7% per trade; Betfair Exchange takes 2-5% commission on net winnings.
How does resolution work?
Through the UMA Optimistic Oracle on Polygon: a proposer submits the outcome, a two-hour challenge window opens, and USDC payouts settle automatically once the result is final.
What's the difference between YES and NO shares?
A YES share pays $1.00 if the event happens, $0 otherwise. A NO share pays $1.00 if the event doesn't happen. The market price between 0¢ and 100¢ is the implied probability.
What does Polymarket cost to trade?
Polymarket itself charges 0% — the only cost is the Polygon network fee, typically under $0.01 per transaction. Off-chain venues like Kalshi or Betfair charge 2-7% commission.
How reliable are the quoted odds?
The YES/NO percentages are the live mid-prices of the Polymarket order book. On deep markets they move every few seconds; on thinner ones you'll see short plateaus.
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