Millennium ProblemsIn order to celebrate mathematics in the new millennium, The Clay Mathematics Institute of Cambridge, Massachusetts (CMI) has named seven Prize Problems. The Scientific Advisory Board of CMI selected these problems, focusing on important classic questions that have resisted solution over the years. The Board of Directors of CMI designated a $7 million prize fund for the solution to these problems, with $1 million allocated to each. During the Millennium Meeting held on May 24, 2000 at the Coll?ge de France, Timothy Gowers presented a lecture entitled The Importance of Mathematics, aimed for the general public, while John Tate and Michael Atiyah spoke on the problems. The CMI invited specialists to formulate each problem. One hundred years earlier, on August 8, 1900, David Hilbert delivered his famous lecture about open mathematical problems at the second International Congress of Mathematicians in Paris. This influenced our decision to announce the millennium problems as the central theme of a Paris meeting. The rules for the award of the prize have the endorsement of the CMI Scientific Advisory Board and the approval of the Directors. The members of these boards have the responsibility to preserve the nature, the integrity, and the spirit of this prize. Paris, May 24, 2000 Please send inquiries regarding the Millennium Prize Problems to prize.problems@claymath.org.
Millennium Prize ProblemsOf the seven Millennium Prize Problems set by the Clay Mathematics Institute, the six ones yet to be solved are:P versus NPThe Hodge conjectureThe Riemann hypothesisYang-Mills existence and mass gapNavier-Stokes existence and smoothnessThe Birch and Swinnerton-Dyer conjectureOnly the Poincar? conjecture has been solved. The smooth four dimensional Poincar? conjecture is still unsolved. That is, can a four dimensional topological sphere have two or more inequivalent smooth structures.
