Why are there so many legendary mathematical geniuses, but only one solved the seven millennium problems?

Seven Important Problems that Mathematical Geniuses Cannot Solve

Causality is reversed. It is because there have been so many mathematical geniuses who have researched these seven problems, but they are unable to solve them. These seven problems are also significant enough to merit these seven reward questions.

The Difficulty of Mathematical Problems

Because ordinary people only know that these 7 problems are difficult, but they do not know how difficult they are.

For people who have only received undergraduate or lower-level mathematical education, it is almost impossible to even imagine the difficulty of these problems.

So there will be questions like the one you asked.

The work that mathematicians have done on these problems is already very complex and profound. Many of these works already involve extremely ingenious thinking. However, these problems are really too difficult, difficult to imagine.

Historical Verification of Mathematical Conundrums

Many problems are not meant to be solved by people in our current era, but rather by humans of the 22nd century or even further in the future.

Looking back at history, many famous mathematical conundrums were not immediately solved after they were first proposed. It often took several months or even years for mathematicians in relevant fields to provide answers, and sometimes even deeper generalizations. These types of conundrums can hardly be considered difficult problems; they might just be profound conclusions that happened to go undiscovered. However, the seven famous problems of the world often require the continuous accumulation and discovery of new mathematical tools by multiple generations of mathematicians in order to solve the various smaller problems embedded within the overarching conundrum. In the end, the resolution process might still not yield a definitive solution.

Specifically, for example, Fermat’s Last Theorem was officially solved by the American mathematician Andrew Wiles in 1995. However, the mathematical conclusions he used were the latest achievements from the past few decades since 1995, such as elliptic functions and the Taniyama-Shimura conjecture. Yet, concentrating solely on mathematical conclusions within one’s own field is still far from sufficient. It is necessary to learn and apply relevant conclusions from other fields in order to complete such weighty historical tasks. However, in reality, those who truly believe they have solved a mathematical conundrum will most likely be disappointed, as even if they are aware of the necessary mathematical tools and conclusions, there is a high likelihood of logical loopholes or a hastily overlooked simple conclusion leading to a lack of detailed deduction, which in turn results in a case of losing the whole game for a single move…

Mathematics is rigorous and also a driving force behind the development of the world. If an unknown mathematical genius claims to have proven or cracked a certain mathematical conundrum, I am highly skeptical and believe they are a pseudo-scientist. After all, both the supposed genius and their conclusions must undergo historical verification by people of our generation and future mathematicians in related fields.