It is difficult to determine the hardest math problem as there are many unsolved mathematical conjectures and problems in different fields of mathematics.

## Complete answer

Mathematics is a vast and complex field with numerous unsolved problems and conjectures. Hence, it is challenging to determine the hardest math problem. As Andrew Wiles, a mathematician who solved Fermat’s Last Theorem, once said, “There is no royal road to mathematics.”

However, some of the challenging math problems that have intrigued mathematicians for decades (even centuries) are the following:

Problem Field Difficulty

P vs. NP Computer Science Unknown

Riemann Hypothesis Number Theory Unsolved

Birch and Swinnerton-Dyer Conjecture Algebraic Geometry Unsolved

Hodge Conjecture Algebraic Geometry Unsolved

Navier-Stokes Equations Fluid Dynamics Unsolved

The P vs. NP problem, one of the most famous in computer science, asks whether every problem whose solution can be quickly verified by a computer can also be quickly solved by a computer. The Riemann Hypothesis is one of the most significant unsolved problems in mathematics, dealing with the distribution of prime numbers. Birch and Swinnerton-Dyer Conjecture, Hodge Conjecture, and Navier-Stokes Equations are also challenging and unsolved problems in algebraic geometry and fluid dynamics.

Despite numerous attempts by mathematicians worldwide to solve these critical math problems, they continue to remain elusive. Nevertheless, as stated in a recent article by The Guardian, “Mathematics will always continue to push the boundaries of human knowledge, and we will always be striving to solve the hardest problems.” Therefore, solving these problems still remains a significant research area for mathematicians worldwide.

Table: Some hardest math problems

In conclusion, there is no definitive answer to what the hardest math problem is, as numerous challenging math problems of distinct difficulty levels still remain unsolved. Nonetheless, tackling these problems remains crucial to advancing our knowledge of the world around us. As Arthur C. Clarke once said, “The only way to discover the limits of the possible is to go beyond them into the impossible.”

## A visual response to the word “What is the hardest math problem?”

The Collatz Conjecture is a problem in mathematics that is said to be incredibly difficult to solve. The problem involves determining whether or not a set of positive integers will eventually end up in a loop created by applying two rules. Professional mathematicians have been unable to solve the problem, but Jeffrey Lagarias is the world authority on the conjecture.

## Other answers to your question

The Riemann Hypothesis: Contemporary mathematicians would concur that the Riemann Hypothesis stands as the foremost unresolved problem in the entire field of mathematics. The problem in question is classified as one of the seven Millennium Prize Problems, and its resolution is accompanied by a monetary reward of $1 million.

Today’s mathematicians would probably agree that the Riemann Hypothesis is the most significant open problem in all of math. It’s one of the seven Millennium Prize Problems, with $1 million reward for its solution.

Back in the ‘70s and before, the Mathematics Department of the University of Moscow, the Soviet Union’s most prestigious math school, was actively engaged in discrimination against bright Jewish students to keep them out of the program. They did this in quite an insidious way. In place of the standard entrance exam, they gave these “undesirable” applicants a test from a set of special problems, called “coffins”, which had three very interesting (when taken together) properties:

1. They could be very simply stated in terms of only elementary concepts (i.e. what math one would normally learn in secondary school).

2. They had short, simple solutions that also involved only elementary concepts. That way, were someone to complain about the difficulty of the problems and raise the issue of discrimination, the examiners could show them the very simple solution as contradictory evidence.

3. The solution involved an ingenious leap of intuition or clever trick that would be unlikely to be disco…

## Surely you will be interested in these topics

Simply so, **What is the hardest math problem ever in the world?** Today’s mathematicians would probably agree that *the Riemann Hypothesis* is the most significant open problem in all of math. It’s one of the seven Millennium Prize Problems, with $1 million reward for its solution.

**What’s the answer to x3 y3 z3 K?** In mathematics, entirely by coincidence, there exists a polynomial equation for which the answer, *42*, had similarly eluded mathematicians for decades. The equation x3+y3+z3=k is known as the sum of cubes problem.

**What are the 7 most difficult math problems?**

Response: Clay “to increase and disseminate mathematical knowledge.” The seven problems, which were announced in 2000, are the *Riemann hypothesis, P versus NP problem, Birch and Swinnerton-Dyer conjecture, Hodge conjecture, Navier-Stokes equation, Yang-Mills theory, and Poincaré conjecture*.

**Has 3x 1 been solved?**

The answer is: In 1995, Franco and Pom-erance proved that the Crandall conjecture about the aX + 1 problem is correct for almost all positive odd numbers a > 3, under the definition of asymptotic density. However, *both of the 3X + 1 problem and Crandall conjecture have not been solved yet*.

Then, **What is the most complicated math problem ever?** Though difficult to understand, we will try and explain these two problems in the next section. Put forward by Bernhard Riemann in 1859, the Riemann’s Hypothesis is widely considered the most difficult math problem in the world. Riemann took forward the Euler’s zeta function to all complex numbers barring s =1.

**What is the most difficult mathematics?**

The most difficult mathematics is that which you do not know. A surprising amount of mathematics is actually easy once you’ve learned it. Of course, once you learn the easy stuff, then you have to start tacking the deep stuff, and that gets harder. One teacher I had was introducing a new concept, and we did an example in class.

Simply so, **What is the longest math problem ever?** The reply will be: Since the 1995 proof of Fermat’s Last Theorem, a problem which stood for 365 years, the current longest-standing maths problem is the conjecture posed by Christian Goldbach (1690-1764), a Russian mathematician, in 1742. Goldbach’s Conjecture states that every even positive integer greater than 3 is the sum of two (not necessarily distinct) primes.