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Which Millennium Prize Problem will AI solve next?

Which venue prices "Which Millennium Prize Problem will AI solve next?" best? Direct comparison of Polymarket, Kalshi, Betfair and Smarkets.

Hodge Conjecture 45% Birch and Swinnerton-Dyer 28% Yang-Mills 13% No solution by Dec 31, 2027 13% Volume: $63K Liquidity: $50K Closes: 1 Jan 2028
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Which Millennium Prize Problem will AI solve next?

Platform comparison

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

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

Which Millennium Prize Problem will AI solve next? — current market-implied probability: 45%. 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 compares Which Millennium Prize Problem will AI solve next? specifically across Polymarket, Kalshi, Betfair Exchange and Smarkets. The live probability is the Polymarket mid; the comparison columns summarise each venue's fee structure, KYC, settlement currency and payment rails. Every CTA routes to Polymarket Alternative, which mirrors the Polymarket order book at 0% fees.

Resolution & payout

Polymarket settles via UMA Optimistic Oracle on Polygon. A proposer posts the outcome with a bond, the two-hour window runs, then the smart contract pays USDC.

Kalshi settles USD through the CFTC-regulated clearinghouse — the cleanest variant, with heavier KYC. Betfair Exchange settles in account currency (GBP/EUR), net of 2-5% commission. Smarkets follows the same model as Betfair with a lower default 2% commission.

FAQ

Is Betfair a Polymarket alternative?
Only partially. Betfair Exchange is UK-focused with a sports-betting emphasis; they have politics markets but with thinner liquidity than Polymarket. Settlement in GBP/EUR, 2-5% commission on winnings.
What about Smarkets as an alternative?
Smarkets is a UK betting exchange with a lower default commission (2%) than Betfair. Liquidity on political markets is below Polymarket, comparable to Kalshi. Geo-blocked in many jurisdictions.
Which platform is accessible globally?
Polymarket is geo-blocked in the US/UK/EU. Kalshi is US-only. Betfair and Smarkets are UK-restricted. Polymarket Alternative has a different geo footprint and routes to Polymarket's order book at 0% fees.
Are all these platforms regulated?
No. Kalshi is CFTC-regulated (US). Betfair and Smarkets are UK Gambling Commission licensed. Polymarket operates without explicit regulation — a different risk profile than a regulated sportsbook.
Which platform supports Klarna/SOFORT?
Directly: none. Polymarket accepts only USDC on Polygon. Polymarket Alternative offers a fiat on-ramp via Klarna or SOFORT (DE/AT/CH) and converts internally to USDC for the Polymarket order book. T+1 processing.
and

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