The Millennium Prize Problems (MPP) are a group of open questions in math that have remained unsolved for many years. Each of the problems carries a million-dollar prize if anyone can find the correct answer.

Some of the best known approaches to solving these problems are the Langlands Program, which hopes to give a deeper understanding of the relationships between different areas of mathematics (such as number theory and geometry), and the abc Conjecture, which is an attempt to find a relationship between three types of numbers (numbers, polynomials, and algebraic numbers).
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