According to Science alert, the Boolean Pythagorean Triples problem, which has around 200 terabytes of text and was first presented in the 1980s by the mathematician Ronald Graham of California, is the longest arithmetic equation.
Hardest Problems

Mathematicians have cracked a challenging arithmetic problem in 2019 that had baffled them for years. Diophantine Equation, also referred to as the “sum of three cubes,” is what it is: Determine x, y, and z such that, for any k between one and 100, x3+y3+z3=k.

It appears simple at first glance. Can you come up with the x, y, and z integers such that x3+y3+z3=8? Sure. X = 1, Y = 1, and z = 2 are one solution. What about the integers x, y, and z, though, to make x3+y3+z3=42?

It turned out to be far more difficult; in fact, it took 65 years for anyone to solve for those integers before a supercomputer discovered the answer to 42. x = 80538738812075974, y = 80435758145817515, and z = 12602123297335631, just for the record. Obviously.)
3 Hardest Math Problems
The Poincaré Conjecture

A nonprofit organisation called the Clay Mathematics Institute challenged the public to solve seven mathematical puzzles in 2000 and promised $1,000,000 to anyone who could solve even one of them. Apart for the Poincaré hypothesis, they have all remained unanswered to this day.

French mathematician Henri Poincaré laid the groundwork for what is today known as topology at the turn of the 20th century. Here’s the thought: Topologists seek mathematical instruments for classifying abstract forms. It wasn’t too difficult to categorise all of the 3D shapes, such as a ball or a donut. A ball is the most basic of these shapes in a certain sense.
Fermat’s Last Theorem

French jurist and mathematician Pierre de Fermat lived in the 17th century. Fermat seems to have considered mathematics more of a pastime, therefore one of the greatest mathematicians in history conveyed many of his theorems through casual communication. He asserted assertions without providing evidence for them, leaving it to other mathematicians to provide evidence decades or even centuries afterwards. The hardest of them is now referred to as Fermat’s Last Theorem.

This one is easy to write. Many integer trios (x, y, and z) meet x2+y2=z2. The Pythagorean Triples, which include (3,4,5) and (5,12,13). What trios (x, y, z) meet the equation x3+y3=z3? The final theorem of Fermat states that the answer is no.
The Classification of Finite Simple Groups

Abstract algebra has many uses, from resolving Rubik’s Cube to establishing a Futurama fact about bodyswapping. Algebraic groups are collections that adhere to a few fundamental rules, such as having a “identity element” that adds 0.

Groups can be infinite or finite, and depending on your choice of n, it can be very difficult to describe what a group of a certain size n looks like.

There is just one possible way that group can look whether n is 2 or 3. There are two possibilities when n equals 4. Mathematicians naturally desired a complete list of all feasible groups for each given size.
The Arithmetic Formula That Attempts to Fool the Internet

We can all agree to follow the same set of guidelines for “the order of operations” in order to receive a clear and definitive answer to the issue above. The sequence in which we conduct certain mathematical operations, such as evaluating parenthetical expressions, performing multiplications or divisions, or performing additions or subtractions, can have a significant impact.

Everyone on Twitter concurred that the 2+2 in the parentheses should be assessed first when faced with the equation 8 2(2+2). Our teachers always instructed us to take care of the items in parenthesis first. Obviously, 2 + 2 = 4. Hence, the answer to the question is 8 2 4.
Summary
In 1995, Andrew Wiles (UK), who is presently studying at Princeton University in New Jersey, the United States, proved Fermat’s Last Theorem. He demonstrated that for n equal to or larger than 3, there are no integer solutions to the equation xn+yn=zn. Fermat posed the theorum in 1630, and it stood for 365 years.
FREQUENTLY ASKED QUESTIONS (FAQS) :
1. What math problem is the most difficult?
The world’s best mathematicians have been baffled by a mathematical problem for decades. The Diophantine equation x3+y3+z3=k, where k is the sum of all the numbers from 1 to 100, is also referred to as the “sum of three cubes.”
2. What math problem is the world’s most difficult?
The Riemann Hypothesis is arguably the most important open topic in all of mathematics today, according to mathematicians of today. It is one of the seven Millennium Prize Problems, and whomever can solve it will receive a $1 million award.
3. What is the kissing number problem?
A simple geometric conundrum known as the “kissing number problem” is named after the game of pool, in which two balls “kiss” if they come into contact. How many blue balls can contact a certain red ball at once if all the balls are the same size? This is the kissing number problem.
4. What are the 7 hardest math problems?
Clay “to spread and develop understanding of mathematics.” The Riemann hypothesis, P versus NP problem, Birch and SwinnertonDyer conjecture, Hodge conjecture, NavierStokes equation, YangMills theory, and Poincaré conjecture are the seven issues that were announced in 2000.
5. Why is math so hard?
Math requires a lot more practise than other courses because it frequently entails employing multiple steps to solve issues. Some kids can become easily bored when a process must be repeated repeatedly, which may cause them to lose patience with math.
6. Who invented math?
The ancient Sumerians, who established the first civilisation in Mesopotamia, are responsible for the earliest examples of written mathematics. Beginning about 3000 BC, they created a sophisticated system of metrology.
7. Who is mathematics of father?
Pythagoras is therefore considered to be the father of mathematics based on his initial contributions.
8. Has 3X 1 been figured out?
Since then, the 3X + 1 issue has taken many different shapes. It is among the most infamous puzzles that have never been solved. Since more than 40 years ago, prizes have been offered for its solution, but no one has totally and satisfactorily done so [5].
Conclusion
The world’s best mathematicians have been baffled by a mathematical problem for decades. The Diophantine equation x3+y3+z3=k, where k is the sum of all the numbers from 1 to 100, is also referred to as the “sum of three cubes.”