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How many more Millennium Prize Problems will AI solve in 2026?

Aired 14 September 2026 · written 14 September, when 0 was 44%

How many more Millennium Prize Problems will AI solve in 2026? — episode poster
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The market we based this episode on

The board on 14 September 2026, the day the script was written. A price is the market’s odds of that outcome.

044%
130%
214%
38%
42%
51%
Platform
Polymarket · real money
Resolves
1 January 2027
Volume traded
$172,628
Outcomes on the board
5
Resolution criteria. This market will resolve according to the number of distinct qualifying Millennium Prize Problems for which an eligible AI lab announces a solution by December 31, 2026, 11:59 PM ET. Each qualifying problem is counted once, regardless of how many eligible AI labs announce a solution to it or how many announcements are made. The qualifying problems are, in alphabetical order, the Birch and Swinnerton-Dyer Conjecture, the Hodge Conjecture, P versus NP, the…

Why we chose it

This market exists because on September 8 OpenAI claimed its internal model — "significantly more capable than GPT-6 Astra" — orchestrated roughly 10,000 agents over 88 hours (~$15M of compute) to produce a Lean-verified proof of finite-time singularity in Navier-Stokes, complete with a priority soap opera: OpenAI started after hearing a rumor tied to NYU's Tristan Buckmaster and Anthropic's Levent Alpöge, whose secret work turned out to be on forced Euler, not Navier-Stokes.

So this market asks: does lightning strike the other five? Crucially, OpenAI says it already launched the model at the remaining problems — the swarm is loose, and resolution only needs a lab *announcement*, not Clay's blessing.

The case for 0: Navier-Stokes was uniquely gettable — a checkable counterexample sitting atop years of DeepMind-adjacent singularity work, whereas P vs NP, Hodge and Yang-Mills have no "almost there" partial result to extend; Riemann got a real jump (an Anthropic bound Anthropic itself says won't scale to a proof). The case for 1+: a sister Polymarket board prices BSD at 46% to fall next, Hodge at 30.5%, with only 13.5% on nothing through 2027 — comedy angle: traders think elliptic curves crack before Christmas. Board sums to 98%, so no longshot juice to mock.

The show’s read Before making an episode we research the market to judge whether it is worth one. This is what that research said about this bet — our reasoning, not reporting.

What we thought

SalThe Handicapper
EddieThe Philosopher
Sal
Four of five have zero progress, the one with a scaling bound doesn't scale, and we've got three months. Fifty-six on 'at least one' is priced on vibes and a sleepless swarm.
Eddie
And the trigger isn't proof, Sal — it's a press conference. Somewhere a grad student on year six is watching the wire, waiting for a slide deck to end her thesis.

How it’s moved since

Daily price. The dotted line is the day the episode was written — the odds Sal and Eddie were looking at. The solid line is the day it aired.

0% 10% 20% 30% 40% 50% 60% 70% 80% written + aired 10 Sep 19 Sep 27 Sep 0 56% 1 28% 2 6% 3 3% 4 2%
Written 14 Sep Aired 14 Sep Source: POLYMARKET

Biggest move since: 0, up from 44% on the day the episode was written to 56% today.