Millennium Prize Problems

Can you crack the most prestigious riddles in math? Test your knowledge of the seven problems that define the limits of human logic.

Identify the seven Millennium Prize Problems, each carrying a $1 million reward for a correct solution.

Millennium Prize Problems: A set of seven of the most challenging unsolved problems in mathematics established by the Clay Mathematics Institute in 2000.

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Last updated: April 14, 2026

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Status	Field	Problem Name
Unsolved	Number Theory	Birch and Swinnerton-Dyer Conjecture
Unsolved	Algebraic Geometry	Hodge Conjecture
Unsolved	Fluid Mechanics	Navier–Stokes Existence and Smoothness
Unsolved	Computer Science	P vs NP
Unsolved	Number Theory	Riemann Hypothesis
Unsolved	Quantum Physics	Yang–Mills Existence and Mass Gap
Solved	Topology	Poincaré Conjecture