Primitive root mod p

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Millenium Problems Bet 26 January, 2008

Filed under: Mathematics, Science — Nikolas Karalis @ 1:46 am

Like the Hawking-Thorne bet, we have been talking with my good friend and fellow mathematician Primelude about the Clay Millennium Problems and if and how they are going to be solved. For a few of them we agree and for others not. So we decided to bet on that. We will post our predictions, and wait if and how some of these are going to be solved. The bet is a one year subscription to a (scientific? :-P ) magazine of the winners choice.

So here are my predictions…

It will be proved to be True, using tools from the Etale cohomology.

Probably False. Counterexample will be found.

Probably will be proved to be False. But even if it turns out to be True,
computationally (–> practically), P will still be not equal to NP.

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Grigori Perelman

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Smooth solutions always exist for both Navier-Stokes Equations and Euler Equations.

True. I can even predict who is going to prove it, if it happens in the next 30 years.

No! I’m not telling you! ;-)

My guess, it is going to happen by finding attributes of the distribution of the primes.

Com’ on! I almost said who! :-P

Btw, i think that if one of the 7 problems is unsolvable,then this is the one.




There exists a theory and it can explain the mass gap… True, true true! :-)


And now we sit and wait! Or try to win the bet (together with the 1.000.000$) :-P


P.S.
On Goldbach conjecture :

I believe it is true, but it will take us at least 100 more years before it is being solved.

 

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