The 7 Unsolved Mathematical Problems

The 7 Unsolved Mathematical Problems

The Millennium Prized Problem pertains to the seven unsolved mathematical problems that have existed through generations. Many tech blogs have already talked about these problems and discussed heavily on what could be the possible solutions to these equations. Some even build a website to compile all the provided solutions by different website visitors from around the world.

In this article, we are providing a list of the seven unsolved problems in mathematics and a brief description of each.

Poincaré conjecture

This is the only problem that was solved ever since the Clay Mathematics Institute stated the seven unsolved problems. It was solved by a Russian mathematician named Grigori Perelman.

Birch and Swinnerton-Dyer conjecture

This conjecture defines a set of rational solutions to equations clearing up an elliptic curve. It is named after Bryan Birch and Peter Swinnerton-Dyer. They arrived at this conjecture through the help of machine computation.

Hodge conjecture

It is a conjecture in the field of algebraic geometry. It refers to the topology of non-singular complex algebraic variety to its subvarieties. It was William Vallance Douglas Hodge who developed this conjecture during the mid-1930s.

Navier–Stokes existence and smoothness

This is a little different from the other equations because it describes the mathematical properties of partial differential equations about the movement of fluid in space. Even though it is still a proposition with incomplete calculations, it is still used in a variety of applications.

P versus NP problem

This is a problem in theoretical computer science. To put it simply, the equation refers to the algorithm that runs in polynomial time. For some questions, they cannot be verified quickly. But if provided with answers, some questions can be determined speedily.

Riemann hypothesis

Riemann Hypothesis was developed by Bernhard Riemann in 1859. The hypothesis states that the Riemann zeta function only has its zeros at the negative even integers. The complex numbers, in the meantime, are with real part 1/2.

Yang-Mills existence and mass gap

Yang-Mills theory is basically a quantum field theory which is the same as that underlying the Standard Model of particle physics. It also refers to contemporary mathematical physics.