The Millennium Prize Problems are a set of seven unsolved mathematical problems that were selected by the Clay Mathematics Institute in 2000. These problems are considered to be some of the most challenging and important problems in mathematics, and the Clay Mathematics Institute offers a cash prize of one million US dollars for the resolution of each problem.
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Birch and Swinnerton-Dyer conjecture

Birch and Swinnerton-Dyer conjecture illustration
The Birch and Swinnerton-Dyer conjecture problem relates to studying elliptic curves, essential objects in number theory. The conjecture states a mathematical connection between the number of rational points on an elliptic curve and the behavior of its associated mathematical function.
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