Which Millennium Prize problem will be solved in the year 2025 with the help of AI?

Basic

Ṁ548

2025

Birch and Swinnerton-Dyer conjecture

Hodge conjecture

Navier–Stokes existence and smoothness

Riemann hypothesis

P versus NP

Yang–Mills existence and mass gap

see https://manifold.markets/strutheo/will-a-millennium-prize-problem-be?play=true

The Millennium Prize Problems are seven well-known complex mathematical problems selected by the Clay Mathematics Institute in 2000. The Clay Institute has pledged a US$1 million prize for the first correct solution to each problem.

https://en.wikipedia.org/wiki/Millennium_Prize_Problems

If none are solved by AI in 2025, then all options will resolve NO

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quite low compare to https://manifold.markets/strutheo/will-a-millennium-prize-problem-be

Will a Millennium Prize problem be solved in the year 2025 with the help of AI?

10% chance.

also https://manifold.markets/strutheo/which-of-the-millenium-prize-proble

Which of the Millenium Prize problems will be solved next?

Other = a prize yet to be added to the Millenium prize list https://www.claymath.org/millennium-problems/

@LCBOB Doesn't seem low to me. Imagining these are independent events, at 5% each the probability that at least one occurs is >20%. Of course these events are not exactly independent, but also I think the probability that we resolve a millennium problem next year (regardless of AI's role in a potential solution) is well below 10%.

If none are solved by AI in 2025, then all options resolve NO?

@diracdeltafunk yes

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