Million Dollar Math Problems

March 20 2013 in ib maths real life maths tok maths tags.
Million dollar math problems. Given n cities to visit how can one do this without visiting a city twice. Typical of the np problems is that of the hamiltonian path problem. In 2000 the clay mathematics institute of cambridge mass identified seven math problems it deemed the most important classic questions that have resisted solution over the years several of them had in fact resisted solution for more than a century the riemann hypothesis for example has confounded. Mathematics millenium challenge teaching maths.
The problems are the birch and swinnerton dyer conjecture hodge conjecture navier stokes existence and smoothness p versus np problem poincaré conjecture riemann hypothesis and yang mills existence and mass gap. In 2000 the clay. A correct solution to any of the problems will result in a 1 million prize. During the 18 years since they have been published only one problem has been successfully solved the poincaré conjecture.
The millennium prize problems are a contest run by the clay mathematics institute. Before you run for the pen and paper to start working on your one million dollar dream you have been warned about how difficult the problems are. Read a longer version of this story on the arts and sciences website. This is the essence of the p vs np question.
Then maybe one day you ll be able to claim a 1million prize for solving some of the fiendishly difficult and important maths problems out there. If you give me a solution i can easily check that it. The problem was a topography theory posed by a french mathematician in. In may 2000 the institute identified seven longstanding math problems.