If you can solve one of these problems, you will pay million dollars
• If you can solve one of these problems, you will pay million dollars.
Above explanation of some of the hypotheses for many years fighting the best in mathematics. But even they were unable to resolve these six tasks!
shows the reader the most complex mathematical problems. And what exactly are you able to solve them and get a million dollars?
The hypothesis Birch - Svinerton Dyer
Two scientists: Svinerton-Dyer and Burch came up with a way to solve the equations xn + zn + yn + ... = tn, which previously did not exist some universal method. Thanks to him, every equation of this kind may lead to a simpler zeta function. And if its value in point 1 is equal to zero, we get an infinite number of solutions, and it is true for the reverse condition. However, so far no one has denied or proved this hypothesis.
In solving any problem, scientists first laid it on the components. But it does not always work, often turn out new pieces or missing original. A Hodge described the conditions in his theory, according to which extra part does not arise, so it is absolutely possible to study any object as an algebraic equation. This hypothesis is not confirmed seventy years.
The problem Cook - Levin
It sounds like this: can check the veracity of solving the problem is more time consuming than the process of getting an answer regardless of its algorithm checks? If this hypothesis ever prove that a major breakthrough will happen in the encryption system.
Navier - Stokes
This equation is directly related to the aerodynamic parameters of the aircraft, ships and vehicles. As you know, flying plane creates turbulence and sailing ship - wave affecting the speed. And that is the Navier - Stokes extracted as early as 1882, is still used by all designers. But nobody in the world does not understand how they should be solved properly. If the answer is still there, all the test vehicle in a wind tunnel will not need them.
Yang - Mills
These two physicists have found a way that can unite the theory of strong, weak and electromagnetic effects. With this theory, scientists were able to predict the discovery of new particles, but it was not possible to predict their correct weight. Also, so far no one has not been understood as a specific work composed by Yang and Mills equation and whether it is true in fact.
The Riemann Hypothesis
Mathematicians do not know in what way prime numbers are distributed according to the number series. Mathematician Bernhard Riemann back in 1859 published its own method of searching and testing, which is subsequently applied to one and a half trillion primes. But this hypothesis has not yet been proved.