Unsolved problems in mathematics | Millennium Prize Problems

Millennium Prize Problems

The Millennium Prize Problems are seven well-known complex mathematical problems selected by the Clay Mathematics Institute in 2000. The Clay Institute has pledged a US$1 million prize for the first correct solution to each problem. To date, the only Millennium Prize problem to have been solved is the Poincaré conjecture. The Clay Institute awarded the monetary prize to Russian mathematician Grigori Perelman in 2010. However, he declined the award as it was not also offered to Richard S. Hamilton, upon whose work Perelman built. The remaining six unsolved problems are the Birch and Swinnerton-Dyer conjecture, Hodge conjecture, Navier–Stokes existence and smoothness, P versus NP problem, Riemann hypothesis, and Yang–Mills existence and mass gap. (Wikipedia).

Millennium Prize Problems
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3-sphere | Zero of a function | Theoretical computer science | 3-manifold | Hodge cycle | Riemann hypothesis | Poincaré conjecture | Algebraic variety | Yang–Mills existence and mass gap | Yang–Mills theory | Fermat's Last Theorem | Projective space | Triviality (mathematics) | David Hilbert | Geometrization conjecture | Rational number | Cryptography | Closed manifold | Riemannian geometry | Algebraic cycle | Geometric topology | Ricci flow | Mathematics | Riemann zeta function | Smale's problems | Diffeomorphism | Boolean satisfiability problem | Sphere | Algebraic geometry | Arithmetic geometry | Henri Poincaré | Navier–Stokes existence and smoothness | Number theory | Linear combination | Hilbert's tenth problem | Asymptotic freedom | Birch and Swinnerton-Dyer conjecture | Prime number | Navier–Stokes equations | Bernhard Riemann | Elliptic curve | P versus NP problem | Correlation function (quantum field theory) | Computation | List of unsolved problems in mathematics | Partial differential equation | Hodge conjecture | Simply connected space