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Millennium Prize Problems

The Clay Mathematics Institute (http://www.claymath.org/millennium/) of Cambridge, Massachusetts (CMI) has named seven "Millennium Prize Problems," selected by focusing on important classic questions in mathematics that have resisted solution over the years. A $7 million prize fund has been established for the solution to these problems, with $1 million allocated to each

The problems consist of the

Riemann hypothesis

Poincaré conjecture

Hodge conjecture

Swinnerton-Dyer Conjecture solution of the Navier-Stokes equations, formulation of Yang-Mills theory, and determination of whether NP-problems are actually P-problems


Please keep this thread on topic , thanks
[Oct 27, 2007 4:22:40 PM]   Link   Report threatening or abusive post: please login first  Go to top 
dustydave
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Re: Millennium Prize Problems

I find the Riemann hypothesis fascinating, particularly how the zeta function can be graphed. As has been reported on http://mathworld.wolfram.com/RiemannZetaFunctionZeros.html
the function has been proven to a depth of 10,000,000,000,000 by X. Gourdon and P. Demichel in 2004.

This would seem to be a good candidate for research using further grid computing, as has been done previously but the latest effort mentioned on the web site was back in 2005.

"ZetaGrid is a distributed computing project attempting to calculate as many zeros as possible. It had reached 1029.9 billion zeros as of Feb. 18, 2005. "

I know that WCG is more concerned with medical advances, but is there any possibility that we might be able to further develop research in this area?


[Jan 22, 2013 8:21:30 PM]   Link   Report threatening or abusive post: please login first  Go to top 
twilyth
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Re: Millennium Prize Problems

I've taken a stab at the fermat conjecture by using the binomial expansion to break down the individual variables. Unfortunately in this attempt, I made the fatal mistake of assuming my conclusion.
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[Jan 22, 2013 9:34:52 PM]   Link   Report threatening or abusive post: please login first  Go to top 
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