1, Riemann conjecture: Riemann conjecture is a conjecture about the zero distribution of Riemann zeta function zeta (s), which was put forward by mathematician bernhard Riemann in 1859. Riemann conjecture is not as famous as Fermat conjecture and Goldbach conjecture, but its importance in mathematics far exceeds the latter two, and it is the most important mathematical problem in mathematics today.

2. Hodge's conjecture: Hodge's conjecture can be said that almost all mathematicians, conjecture expressions can stick specific object shapes together when adding dimensions, which looks very clever, but in the actual operation process, components without geometric explanation must be added.

3.BSD conjecture: BSD conjecture is the full name of Behr and Swinaton-Dale conjecture, which describes the relationship between the arithmetic properties and analytical properties of Abelian clusters.

4. Euclid's fifth postulate: Euclid's fifth postulate: two straight lines in the same plane intersect with the third straight line. If the sum of two internal angles on one side is less than two right angles, then the two straight lines must intersect on this side. Because it is equivalent to parallel axiom, it is also called Euclidean parallel postulate, or parallel postulate for short.

5.NP complete problem: NP complete problem can be said to be a complex mathematical problem. Simply put, all the problems of complete polynomials in uncertainty can be transformed into logical operation problems, which is called satisfiability. Mathematicians want to know if there is any certainty.

6. Poincare conjecture: Poincare conjecture has been put forward for a long time. It is mentioned in the conjecture that if you keep pulling a rubber band and then let it move slowly and expand into a point, can you finally prove all the problems far from the origin in the three-dimensional sphere or four-dimensional space? This is simply too difficult.

7. Naville-Stokes equation: This mathematical problem was originally used by mathematicians to study whether in breeze or turbulence, the corresponding data can be solved by Naville-Stokes equation. But so far, few people can fully understand the Naville-Stokes equation, and the substantive progress of some theories is very subtle.