Which Millennium Prize Problem will be solved next?
In the year 2000 the the Clay Mathematics Institute offered $1 million for solving any of these 7 math problems: https://en.wikipedia.org/wiki/Millennium_Prize_Problems The Poincaré conjecture is the only one solved so far, so there's still 6 unsolved problems. Which one of these do you think is the closest one to being solved?
<p>There’s been a lot of activity around Navier-Stokes in the past several years. People went from thinking that solutions stayed smooth to thinking that it’s possible to construct solutions which blow up in finite time, after Terry Tao proved blowup for a modified version of Navier-Stokes. Tarek Elgindi also constructed blowup solutions (in a rather narrow class of initial data) for the Euler equations in 3D. It seems like we’re still pretty far away, but these results are promising.</p>
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