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When will the next Millennium Prize Problem be solved?
The Millennium Prize Problems consist of 7 profound, unsolved mathematical puzzles curated by the Clay Mathematics Institute of Cambridge, Massachusetts (CMI) in 2000. A prize fund of $7M has been allocated to award to winners, with $1M set aside for the solver(s) of each big problem.
All told, the set includes:
- Yang–Mills and Mass Gap
- Riemann Hypothesis
- P vs NP Problem
- Navier–Stokes Equation
- Hodge Conjecture
- Poincaré Conjecture
- Birch and Swinnerton-Dyer Conjecture
Of these monster math problems, only one has been officially solved--the Poincaré Conjecture, by Grigori Perelman. Per Medium:
[Perelman] is the first and only one to have solved one of the Millennium Problems and, according to many, this situation may not change for a long time. He is also the first and only to have declined both the Fields Medal and the Millennium prize. His justification highlights both his peculiar personality and his deep commitment to mathematics for their own sake: "I’m not interested in money or fame. I don’t want to be on display like an animal in a zoo. I’m not a hero of mathematics. I’m not even that successful; that is why I don’t want to have everybody looking at me."
At some point, one assumes, at least one of the other problems will fall. (Other geniuses have already come close and banged on the door of success.)
Metaculus help: Predicting
Predictions are the heart of Metaculus. Predicting is how you contribute to the wisdom of the crowd, and how you earn points and build up your personal Metaculus track record.
The basics of predicting are very simple: move the slider to best match the likelihood of the outcome, and click predict. You can predict as often as you want, and you're encouraged to change your mind when new information becomes available. With tachyons you'll even be able to go back in time and backdate your prediction to maximize your points.
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Metaculus help: Community Stats
Use the community stats to get a better sense of the community consensus (or lack thereof) for this question. Sometimes people have wildly different ideas about the likely outcomes, and sometimes people are in close agreement. There are even times when the community seems very certain of uncertainty, like when everyone agrees that event is only 50% likely to happen.
When you make a prediction, check the community stats to see where you land. If your prediction is an outlier, might there be something you're overlooking that others have seen? Or do you have special insight that others are lacking? Either way, it might be a good idea to join the discussion in the comments.