# Your demand — is Fermat’s theorem the hardest math problem in the world?

No, Fermat’s theorem is not the hardest math problem in the world.

So let’s look deeper

No, Fermat’s theorem is not the hardest math problem in the world. While it was a famously difficult problem for a long time, it was eventually proven in the 1990s by Andrew Wiles. Since then, many other challenging math problems have emerged, some of which are still unsolved.

As stated by mathematician Marcus du Sautoy, “There are many famous problems out there in maths. Some are unsolved and still attract the attention of mathematicians around the world, while others have been solved in recent decades.” Here are some examples:

• The Riemann Hypothesis: This is a conjecture regarding the distribution of prime numbers. It has remained unsolved since it was proposed in 1859 by Bernhard Riemann.

• P vs. NP: This problem deals with determining whether or not certain problems can be solved quickly or efficiently. It has implications for many fields, including cryptography and computer science.

• The Birch and Swinnerton-Dyer Conjecture: This relates to elliptic curves and their associated L-functions. While there has been progress made on this problem, it is still unsolved.

• The Hodge Conjecture: This is a question in algebraic geometry that deals with the relationship between topology and geometry. It was proven in some special cases but remains unsolved in general.

These are just a few examples of math problems that are currently being studied by mathematicians around the world. As new ideas and techniques emerge, we may see progress made in these areas and others.

Math Problem Brief Description Status
Riemann Hypothesis Conjecture about prime number distribution Unsolved
P vs. NP Question of efficient problem solving Unsolved
Birch and Swinnerton-Dyer Conjecture Relates to elliptic curves and L-functions Unsolved
Hodge Conjecture Relationship between topology and geometry Proven in some cases, unsolved in general

In conclusion, while Fermat’s theorem was a challenging problem, it has since been solved and other math problems have taken its place as some of the hardest and most interesting challenges in the field.

## A visual response to the word “Is Fermat’s theorem the hardest math problem in the world?”

Fermat’s Last Theorem had been unsolved for 350 years, which stated that no solutions existed for an equation where X to the N plus Y to the N equals Z to the N when N is bigger than 2. Andrew Wiles was motivated to prove it, not for potential applications to cryptography, but to have his name on something that mathematicians have been trying to prove for centuries. With his solution, he opened up a new area of mathematics and allowed us to understand many new equations.

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It is among the most notable theorems in the history of mathematics and prior to its proof was in the Guinness Book of World Records as the "most difficult mathematical problem", in part because the theorem has the largest number of unsuccessful proofs.

Fermat’s Last Theorem is one of the most notable theorems in the history of mathematics and was once considered the "most difficult mathematical problem". It has the largest number of unsuccessful proofs. Along with the yet unproven Riemann’s hypothesis, Fermat’s Last Theorem is considered to be one of the hardest math problems in the world.

It is among the most notable theorems in the history of mathematics and prior to its proof was in the Guinness Book of World Records as the "most difficult mathematical problem", in part because the theorem has the largest number of unsuccessful proofs.

Fermat’s Last Theorem, along with the unsolved Riemann’s hypothesis is so far the worlds hardest math problem.

Along with the yet unproven Riemann’s hypothesis, Fermat’s last theorem is without doubt the hardest math problem in the world.

It is among the most notable theorems in the history of mathematics and prior to its proof was in the Guinness Book of World Records as the "most difficult mathematical problem", in part because the theorem has the largest number of unsuccessful proofs.

While I agree with Alan Bustany’s answer [ https://www.quora.com/What-is-the-most-difficult-math-problem-ever-solved-that-is-not-Fermats-last-theorem-or-Poincares-conjecture/answer/Alan-Bustany ] that “most difficult” is impossible to answer objectively, there are nonetheless a great many difficult mathematical theorems that probably should be mentioned.

For example, Ernie Cohen’s [ https://www.quora.com/What-is-the-most-difficult-math-problem-ever-solved-that-is-not-Fermats-last-theorem-or-Poincares-conjecture/answer/Ernie-Cohen-1 ] example of the classification of finite simple groups is very good—that result was very important in group theory, and has been used to prove many more results since. It was a real triumph, as it took dozens of mathematicians working over fifty years to finally finish a complete proof. For those wondering what a finite simple group is, Alon Amit [ https://www.quora.com/Intuitively-what-is-a-finite-simple-group/answer/Alon-Amit ] has a nice answer.

Perhap…

More intriguing questions on the topic

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What is the most hardest math problem in the world?
Answer will be: 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 is the hardest solved math?
Response: Continue reading the article to explore the world’s hardest math problems, listed below.

• The Poincaré Conjecture.
• The Prime Number Theorem.
• Fermat’s Last Theorem.
• The Reimann Hypothesis.
• Classification of Finite Simple Groups.
• Four Color Theorem.
• Goldbach’s Conjecture.
• Inscribed Square Problem.

How hard is Fermat's last theorem proof?
The answer is: Both Fermat’s Last Theorem and the modularity theorem were almost universally considered inaccessible to prove by contemporaneous mathematicians, meaning that they were believed to be impossible to prove using current knowledge.
What is the hardest math problem the Riemann Hypothesis?
In reply to that: In mathematics, the Riemann hypothesis is the conjecture that the Riemann zeta function has its zeros only at the negative even integers and complex numbers with real part 12. Many consider it to be the most important unsolved problem in pure mathematics.
What is Fermat's Last Theorem?
Fermat’s Last Theorem, named after the French mathematician Pierre de Fermat, is a famous statement in mathematics, stating that there are no positive integers a, b, and c that satisfy the equation an + bn = cn for any integer value of n greater than 2.
What are the hardest math problems in the world?
In reply to that: There are two maths problems in the world that have received a lot of recognition and attention because they have remained unsolved for several years. While Riemann’s Hypothesis still remains unsolved, Fermat’s theorem which is one of the hardest math problems in the world, was solved only in 1995.
Did Fermat have a proof?
The answer is: Although other statements claimed by Fermat without proof were subsequently proven by others and credited as theorems of Fermat (for example, Fermat’s theorem on sums of two squares ), Fermat’s Last Theorem resisted proof, leading to doubt that Fermat ever had a correct proof.
How long has Fermat been unsolved?
Response will be: This problem had been unsolved by mathematicians for 300 years. It looked so simple, and yet all the great mathematicians in history couldn’t solve it. Here was a problem, that I, a 10 year old, could understand, and I knew from that moment that I would never let it go. I had to solve it. Who was Fermat and what was his Last Theorem?
What is Fermat's Last Theorem?
Response will be: Fermats Last Theorem, named after the French mathematician Pierre de Fermat, is a famous statement in mathematics, stating that there are no positive integers a, b, and c that satisfy the equation an + bn = cn for any integer value of n greater than 2.
What are the hardest math problems in the world?
As an answer to this: There are two maths problems in the world that have received a lot of recognition and attention because they have remained unsolved for several years. While Riemann’s Hypothesis still remains unsolved, Fermat’s theorem which is one of the hardest math problems in the world, was solved only in 1995.
Did Fermat have a valid proof?
The answer is no, and that’s Fermat’s Last Theorem. Fermat famously wrote the Last Theorem by hand in the margin of a textbook, along with the comment that he had a proof, but could not fit it in the margin. For centuries, the math world has been left wondering if Fermat really had a valid proof in mind.
How did Fermat prove that 26 is the only number?
This is pure mathematics—a game of wits: for example, Fermat showed that 26 is the only number “trapped” between a square (5 2 = 25) and a cube (3 3 = 27). He used mathematical logic to prove that no other number between zero and infinity meets that condition (x 2 + 1 = z = y 3 – 1), and he challenged his friends and rivals to prove it too.

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