What are the 5 unsolved math problems?

The problems consist of the Riemann hypothesis, Poincaré conjecture, Hodge conjecture, Swinnerton-Dyer Conjecture, solution of the Navier-Stokes equations, formulation of Yang-Mills theory, and determination of whether NP-problems are actually P-problems.

Who solved the Poincare Conjecture?

Grigori “Grisha” Perelman
Russian mathematician Grigori “Grisha” Perelman was awarded the Prize on March 18 last year for solving one of the problems, the Poincaré conjecture – as yet the only one that’s been solved. Famously, he turned down the $1,000,000 Millennium Prize.

Is chess a NP?

For two-player games, one encounters a similar phenomenon at a higher level of complexity. For this reason games like chess cannot themselves be NP-complete, as they only have a finite (albeit unthinkably large) number of possible positions.

Is Sudoku NP hard?

Introduction. The generalised Sudoku problem is an NP-complete problem which, effectively, requests a Latin square that satisfies some additional constraints. In addition to the standard requirement that each row and column of the Latin square contains each symbol precisely once, Sudoku also demands block constraints.

What is the 7th problem in topology still being solved?

The seventh problem, the Poincaré conjecture, has been solved; however, a generalization called the smooth four-dimensional Poincaré conjecture —that is, whether a four-dimensional topological sphere can have two or more inequivalent smooth structures —is still unsolved.

What are some examples of unsolved problems?

Unsolved problems remain in multiple domains, including physics, computer science, algebra, additive and algebraic number theories, analysis, combinatorics, algebraic, discrete and Euclidean geometries, graph, group, model, number, set and Ramsey theories, dynamical systems, partial differential equations, and miscellaneous unsolved problems.

How many mathematical problems are unsolved?

Since the Renaissance, every century has seen the solution of more mathematical problems than the century before, yet many mathematical problems, both major and minor, still remain unsolved.