Mathematics is the language of pure logic. The way the universe and nature talk to us. Those who discovered it have lived the magic of mathematics for a lifetime. Mathematics has been their everything. They can't think of anything except him. One of them is the famous mathematician David Hilbert!
Maybe this is the man we can call "the greatest man of math." Hilbert thought and said, "Actually, math is problem-solving!". Yes, in fact, math is solving problems. It is the 'problem of the universe' that manifests itself entirely in mystery. Hilbert is one of the biggest of geometry, number theory, and even physics. He is also one of the architects of modern mathematics. He tried to connect mathematics to a quintessence with 23 very difficult and important problems. According to him, the most boring, exhausting and confusing questions about mathematics would be solved when all of them were solved or at least disproved. For example, the first problem is something called 'continuum hypothesis'. These problems are known as the most difficult and unsolved problems in history.
A significant portion of these problems was either solved or proved. Those who solve these problems will receive a $ 1,000,000 reward from the American Clay Institute. Of course, besides the motivation of money, the prestige of being recognized as a genius in the world of mathematics is indisputable. But you shouldn't just think of these problems as Hilbert's own problems. Mathematics, like other positive sciences, is the task of team and cooperation. Different minds have contributions. For example Poincare! One of these problems belongs to Poincare. This problem (Poincare Conjecture), which could not be solved for about 120 years, was solved in 2004 by an ordinary Russian mathematician who had a decent lifestyle. This genius mathematician did not accept either $ 1 million nor met with any journalist.
The most important of these problems is the 8th problem. This is the king of problems, the holy grail of mathematics. Who is the owner of this problem? !!: 'Riemann' !! When Riemann set forth this problem, it was extremely frightening for an ordinary person. Actually, the problem could be understood and regulated by Riemann a little. By so, he could present it as a function.
The Function Identifies The Problem Related To Prime Numbers
This madman was obsessed with primes (I think he's right about it). Because prime numbers are the building blocks of numbers in Mathematics, just as the building blocks of matter in Physics are atoms. All numbers in mathematics can be obtained by multiplying a prime number by any number or by themselves. But you can't divide the prime number by anything. It can be divided by only 1 and itself. So these prime numbers are very special structures. Prime numbers are the language of physics and nature. The universe itself may be telling us with these ones. Therefore, it is necessary to pay particular attention to prime numbers.
Once it is realized that the prime numbers cannot be divided by any number, it is started to be questioned and examined that with what kind of period or pattern they increase. As you can easily notice, the first few reveal a logical increment pattern as they go like 1, 3, 5, 7... But as they progress, they start to go crazy and give no meaningful pattern. Here's the pain of the mathematicians. If mathematicians cannot form a rational logic or system about something, the brain starts to suffer from pains. Riemann took the Fourier transform of this function. But he still couldn't have been successful enough to create a proper function. But then he put a complex number 'i' in the work. He saw a beautiful expression that could be valid for prime numbers.
This "i" comes from the word "imaginer". In his approach, Riemann reveals a nice series of functions using imaginary numbers. At that point Riemann made his statement and asked the question:
Any non-trivial value that makes the solution of the zeta function 'zero' is on the 1/2 line which intercepts the real axis in the plane of complex numbers.
That's what Riemann was wondering. If so, he wanted it to be proved that a very large value is on this axis or not. Or at least, he wanted a proof of that a very great value violates it.
What Will Happen When It Is Solved?
You know what's gonna happen? Something amazing will happen. An unsolvable mystery that will overwhelm mathematicians for over 150 years is going to disappear. In other words, the relationship between prime numbers and each other will be understood. I know that most of you say that ' I would love it to be solved. I'm very excited, I can not stand. But think about it. If the mystery and pattern of prime numbers are solved, all banks in the world leave banking and go into potato business or something. All the armies of the world become extremely insecure. You ask why? Because what makes all the banking transactions of humanity with great confidence and confidentiality is the unpredictability and complexity of prime numbers.
All military cryptography and bank cryptography are based on it: 'encryption'. Encryption means unpredictability. I know that the discovery of such an unknown in the name of science will be perfect. I would also like to point out that the splits in quantum energy levels exhibit a structure very similar to these incomprehensible distributions of prime numbers. In other words, the structure of these distributions can also be understood after solving the logic of prime number sequence. There are also opportunists who claim to have solved this problem. For example, recently a professor of mathematics from Nigeria named Enoch came up. He claimed to have solved this 150-year-old problem. But then, the Clay Institute stated that the solution was not correct, and refused Enoch. I do not know whether this problem can be solved in the near future, but the person who can solve such a problem will be the king of mathematicians. There's no doubt about that.