# Your demand: why some math problems are unsolved?

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Some math problems are unsolved because they are incredibly complex and require a high level of mathematical knowledge and ingenuity to solve.

## A thorough response to a query

Mathematics is a field of study that has puzzled and challenged academics for centuries. The unsolved math problems that still exist are those that require a high level of mathematical knowledge and creativity to solve. These complex problems are known as “millennium problems,” and were first identified by the Clay Mathematics Institute in 2000. Solving any of these seven problems could lead to a significant revolution in mathematics and may come with a \$1 million prize.

One of the major reasons why some math problems are unsolved is that they require advanced mathematical knowledge and exceptional ingenuity to solve. As famed mathematician Andrew Wiles once said, “There’s a certain amount of luck and a certain amount of hard work in what I have done.” This statement shows just how much effort and dedication is required to solve these problems. For some, it could take years or even decades to come up with the solution.

Another reason why some math problems remain unsolved is due to their sheer complexity. One such example is Fermat’s Last Theorem, which took over 358 years to solve. The theorem, originally proposed by mathematician Pierre de Fermat in 1637, is a problem in number theory that states that no three positive integers a, b, and c can satisfy the equation a^n + b^n = c^n for any integer value of n greater than two.

Despite their challenging nature, unsolved math problems continue to inspire and challenge mathematicians around the world. There is still much to be learned from studying these problems, and the potential breakthroughs that could result from their solution are unmatched in other fields of study. As British mathematician Lord Kelvin once stated, “Mathematics is the only true science, for in pure mathematics we find the highest degree of certainty and evidence.”

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Here is a table listing the seven millennium problems:

Problem Field
P vs. NP Computer Science
Hodge Conjecture Algebraic Geometry
Riemann Hypothesis Number Theory
Birch and Swinnerton-Dyer Conjecture Number Theory
Yang-Mills Existence and Mass Gap Quantum Physics
Navier-Stokes Equation Fluid Mechanics
Solving the Poincaré Conjecture Topology

In conclusion, the complexity and difficulty of unsolved math problems often require a level of ingenuity and knowledge that requires years of dedication and hard work. Yet despite this challenge, the potential breakthroughs that come from solving these problems make them an important area of study for mathematicians worldwide.

The “4 Weird Unsolved Mysteries of Math” video has presented four intriguing mathematical problems that have yet to be solved, starting with the Moving Sofa Problem, which focuses on finding the largest sofa that can be turned around a 90-degree corner without lifting it. The video also mentioned the Worm Problem or the Mother Worm’s Blanket, which involves finding the smallest blanket that can cover a sleeping baby worm in any position. Another problem is the shortest forest path, which aims to find the shortest path out of a specific shape of the forest, while the Magic Square of Squares problem is to find a functional 3×3 magic square made solely of square numbers. Despite the endless efforts of scientists and mathematicians alike, these challenges still remain unresolved, and many believe that they may never be solved in the future.

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A maths problem can be “unsolved” for two reasons: No one has yet figured out how to solve it; For many years, Fermat’s Last Theorem (conjectured by Pierre de Fermat in 1637) was “unsolved”.

Most of the time, the actual result isn’t important as the theory. The reason why problems are unsolved is because either the math doesn’t exist yet, or some connection between current fields has not been established yet.

Unsolved problems are not just arithmetic problems no one can find the answers to. They are usually conjectures about some mathematical structure or group of structures, and they are usually impossible to solve by brute force because the structures involved are usually infinite. For example: The Collatz conjecture. Pick any positive integer. If it’s even, divide it by 2; otherwise, triple it and add 1. The Collatz conjecture is that if you repeat that process long enough, you will eventually reach 1. For example, if you start with 3 you’ll go through 10, 5, 16, 8, 4, and 2 before reaching 1. There are two infinities here. First, the number can take an arbitrarily long time to reach 1 – as long as it gets there eventually. Try starting with 27 and see how long it takes to get to 1. Second, the conjecture is about every positive integer – of which there are infinitely many. Another long-standing open problem involves perfect numbers. If you take all the numbers that divide 6 (except 6 it…

## In addition, people are interested

Are math problems unsolved?
In reply to that: The Collatz conjecture is one of the most famous unsolved mathematical problems, because it’s so simple, you can explain it to a primary-school-aged kid, and they’ll probably be intrigued enough to try and find the answer for themselves.
What are the 7 unsolved maths problems?
The reply will be: 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.
What math problem is never solved?
Answer to this: The Collatz Conjecture is the simplest math problem no one can solve — it is easy enough for almost anyone to understand but notoriously difficult to solve. So what is the Collatz Conjecture and what makes it so difficult? Veritasium investigates.
What is the most unsolved problem in math?
Response to this: 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 are some unsolved problems in mathematics?
In reply to that: There are many unsolved problems in mathematics. Some prominent outstanding unsolved problems (as well as some which are not necessarily so well known) include 1. The Goldbach conjecture. 2. The Riemann hypothesis. 3. The conjecture that there exists a Hadamard matrix for every positive multiple of 4. 4.
What are some of the most complicated math problems?
However, there are some math problems that has left the world collectively scratching their heads, some for over 100 years! Here is a list of some of the most complicated, unsolved math problems the world has ever seen: Goldbach Conjecture: Goldbach asserts that all positive even integers >=4 can be expressed as the sum of two primes.
Why are some math equations not solved?
Answer to this: Mathematics has played a major role in so many life-altering inventions and theories. But there are still some math equations that have managed to elude even the greatest minds, like Einstein and Hawkins. Other equations, however, are simply too large to compute. So for whatever reason, these puzzling problems have never been solved.
Is Maths really hard?
We all know that maths is really hard. So hard, in fact, that there’s literally a whole Wikipedia page dedicated to unsolved mathematical problems, despite some of the greatest minds in the world working on them around the clock.

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