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Which Millennium Prize Problem will AI solve next?

Five-platform snapshot of "Which Millennium Prize Problem will AI solve next?" — live Polymarket pricing, plus how Kalshi, Betfair and Manifold structure the same contract.

Hodge Conjecture 45% Birch and Swinnerton-Dyer 28% Yang-Mills 13% No solution by Dec 31, 2027 13% Volume: $63K Liquidity: $51K Closes: 1 Jan 2028
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Which Millennium Prize Problem will AI solve next?

Platform comparison

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

Outcome probabilities

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

OutcomeProbability
Hodge Conjecture45%
Birch and Swinnerton-Dyer28%
Yang-Mills13%
No solution by Dec 31, 202713%
Riemann Hypothesis4%
P versus NP1%

Market context

The Which Millennium Prize Problem will AI solve next? prediction market currently prices this outcome at 45% YES. 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

Methodologically we separate two layers: the live probability (Polymarket mid-price) and the platform attributes (fee, KYC, settlement currency, payment rails). That keeps the comparison honest — a single canonical probability across the row, with the venue-by-venue trade-offs spelt out in the columns next to it.

Resolution & payout

At resolution the UMA oracle takes over: a proposer posts the outcome with a bond, any token holder can dispute within two hours. Without dispute the result is accepted and the smart contract distributes USDC instantly.

On Kalshi (CFTC-regulated) resolution runs through their in-house clearing engine in USD. Betfair Exchange settles after match end in the account's local currency. Manifold pays no cash — only its in-platform "mana" currency.

UK Frequently Asked Questions

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 Prediction Today. Kalshi charges up to 7% per trade; Betfair Exchange takes 2-5% commission on net winnings.
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.
Is Polymarket legal in the UK?
Polymarket is accessible to UK traders but is not UKGC-licensed. It operates under US CFTC jurisdiction. UK residents face no domestic legal prohibition on using it, but UKGC consumer protections do not apply. For UKGC-regulated alternatives, Betfair Exchange and Smarkets offer similar prediction-style markets.
Do I pay tax on prediction market profits in the UK?
UKGC-licensed platform profits (Betfair, Smarkets) are typically tax-free gambling winnings for UK individuals. Polymarket profits involve USDC crypto transactions, which HMRC treats as Capital Gains Tax events. Keep full transaction records and report via Self Assessment if gains exceed £3,000 per tax year.
How do I deposit on Polymarket from the UK?
UK traders typically fund Polymarket via Coinbase UK, Kraken or Revolut — buying USDC with GBP and transferring to a Polygon-compatible wallet (MetaMask, Coinbase Wallet). Polymarket's onboarding walks you through the bridging process. Typical GBP-to-USDC conversion costs 0.5–1%.
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