Million Dollar Question

A miniseries of explainers on each of the Clay Mathematics Institute’s seven Millennium Prize Problems, some of the biggest mathematical mysteries of our day, each carrying a $1 million prize for whoever can solve them.

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Million Dollar Question: The Birch and Swinnerton-Dyer Conjecture

/ by Nathan AG

Sitting at the heart of the Clay Mathematics Institute’s seven Millennium Prize Problems, each carrying a bounty of $1 million, is the Birch and Swinnerton-Dyer (BSD) Conjecture, a riddle that proposes a stunning connection between two seemingly unrelated universes of mathematics – algebraic geometry and complex analysis.

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Million Dollar Question: The Yang-Mills Existence and Mass Gap

/ by Nathan AG

A million-dollar mystery of the universe, the Yang-Mills Existence and Mass Gap is one of the seven Millennium Prize Problems set by the Clay Mathematics Institute. This problem demands a rigorous mathematical proof for the quantum version of the Yang-Mills equations, which form the foundation for the Standard Model of particle physics.

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Million Dollar Question: The Poincaré Conjecture

/ by Nathan AG

The Poincaré Conjecture, formulated by the great French mathematician Henri Poincaré in 1904, is a central question in topology, the study of shapes that can be stretched or bent without tearing, and the only Millennium Prize problem to have been solved.

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The Millennium Prize Problems

/ by Ryan G

Established by the Clay Mathematics Institute in 2000 to herald a new millennium of mathematics, the seven Millennium Prize Problems are among the most challenging and significant in the world of maths. Each problem brings with it a reward of $1 million for the first correct solution, a prize to inspire all kinds of mathematician to solve these notorious problems.

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Million Dollar Question: The Riemann Hypothesis

/ by Charlton C

A mathematical conjecture said to be one of the most important unsolved problems in mathematics — carrying a $1 million reward.

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