The Millennium Prize Problems are a set of seven unsolved mathematical problems, each with a prize of one million dollars for a correct solution, established by the Clay Mathematics Institute in 2000 to celebrate the turn of the millennium and to stimulate interest in important mathematical questions. As of now, only one of the problems, the Poincaré Conjecture, has been solved, highlighting the complexity and significance of these challenges in the field of mathematics.

Millennium Prize Problems

unsolved mathematical problems

prize of one million dollars

Clay Mathematics Institute

turn of the millennium

Stimulate interest in mathematical questions

The Poincaré conjecture posits that any simply connected, closed 3-dimensional manifold is homeomorphic to the 3-dimensional sphere. It was proven by Grigori Perelman in 2003 using Richard S. Hamilton's theory of Ricci flow, marking a significant milestone in the field of topology and earning Perelman the prestigious Clay Millennium Prize, which he declined.

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