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Mathematics
Theoretical Problems
Millennium Prize Problems
The Millennium Prize Problems are a set of seven unsolved mathematical problems that were announced by the
Clay Mathematics Institute
in 2000. Each problem carries a reward of one million dollars for a correct solution. These problems are significant in various fields of mathematics and have puzzled mathematicians for years. The seven problems include the
P vs NP problem
, the
Hodge conjecture
, the
Navier-Stokes existence and smoothness
, the
Riemann hypothesis
, the
Yang-Mills existence and mass gap
, the
Birch and Swinnerton-Dyer conjecture
, and the
Poincaré conjecture
. While the
Poincaré conjecture
has been solved, the other six remain open challenges in the mathematical community.
Poincaré Conjecture
Clay Mathematics Institute
Navier-Stokes Existence and Smoothness