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Introduction and explanation of seven major mathematical problems in the world
1. These seven "world puzzles" are NP complete problem, Hodge conjecture, Poincare conjecture, Riemann hypothesis, existence and poor quality of Yang-Mills, Naville-Stoke equation and BSD conjecture. All seven questions were awarded a million dollars.

2. Asking questions: david hilbert, a master mathematician, gave a famous speech at the Second World Congress of Mathematicians held in Paris on August 8, 1900, and asked 23 mathematical questions. Hilbert problem has inspired the wisdom of mathematicians and guided the direction of mathematics in the past hundred years, and its influence and promotion on the development of mathematics is enormous and immeasurable.

The 20th century is a century of great development of mathematics. Many important problems in mathematics have been satisfactorily solved, such as the proof of Fermat's last theorem and the completion of the classification of finite simple groups, thus making the basic theory of mathematics develop unprecedentedly.

4. At the beginning of 2000, the Scientific Advisory Board of Clay Institute of Mathematics in the United States selected seven "Millennium Prize Questions", and the board of directors of Clay Institute of Mathematics decided to set up a grand prize fund of 7 million dollars, and each "Millennium Prize Question" could be awarded1000000 dollars.

The purpose of choosing "Millennium Prize Problem" by Clay Institute of Mathematics is not to form a new direction of mathematics development in the new century, but to focus on major problems that are crucial to mathematics development and mathematicians dream of and expect to solve.

5. On May 24th, 2000, the Millennium Mathematics Conference was held in the famous French Academy. At the meeting, 1997 Fields Prize winner Gavos gave a speech on the topic of "the importance of mathematics". Later, Tate and Atia announced and introduced these seven "Millennium Prize Issues". Clay Institute of Mathematics also invited experts in related research fields to elaborate on each issue. Clay Institute of Mathematics has made strict regulations on the answer and award of the "Millennium Prize Question". Every "Millennium prize problem" is not solved immediately. Any solution must be published in a world-renowned mathematical magazine for two years and recognized by the mathematical community before it can be examined and decided by the scientific advisory Committee of Clay Institute of Mathematics whether it is worth winning a million dollars.

One of them has been solved (Poincare conjecture, solved by Russian mathematician grigory perelman), and there are six left.

6. Since the Millennium Prize was issued, it has had a strong response in the field of mathematics. These problems are all about the basic theory of mathematics, but the solution of these problems will greatly promote the development and application of mathematical theory. Understanding and studying the "Millennium Prize" has become a hot spot in mathematics. Mathematicians in many countries are organizing joint research. The "Millennium Prize Problem" will change the historical process of mathematics development in the new century.