The mathematical equation that has never been solved is the Riemann Hypothesis, which proposes a pattern in the distribution of prime numbers.
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The Riemann Hypothesis, proposed by German mathematician Bernhard Riemann in 1859, remains one of the most famous unsolved problems in mathematics.
At its core, the Riemann Hypothesis concerns the distribution of prime numbers — those indivisible by any number except one and themselves. It proposes a pattern in the distribution of primes that, if true, would revolutionize number theory and have far-reaching implications for cryptography and computer security.
Despite decades of effort by some of the world’s most brilliant minds, no one has been able to prove or disprove the Riemann Hypothesis. As mathematician Dan Rockmore notes, “The Riemann Hypothesis is like a giant black hole in the mathematics universe; it’s a problem of such gravitational pull that no one has been able to escape from it.”
The implications of the Riemann Hypothesis go beyond mathematics. As mathematician John Derbyshire explains, “If the Riemann Hypothesis is true, then a way to break the most common encryption algorithms in use today would become available…Conversely, if anyone ever does find a way to break current encryption algorithms, it will almost certainly be based on a violation of the Riemann Hypothesis.”
Despite its unsolved status, the Riemann Hypothesis continues to captivate mathematicians and the public alike. In fact, it has inspired a wealth of creative works, from novels to music.
Interesting facts:
- The proof or disproof of the Riemann Hypothesis would earn the solver $1 million from the Clay Mathematics Institute.
- The Riemann Hypothesis is often called the “greatest unsolved problem in mathematics.”
- The hypothesis has connections to physics, particularly in the study of black holes and quantum mechanics.
- Its potential implications for computer security make it an important topic in cryptography.
- A 2008 poll found that 25% of British mathematicians believed that the Riemann Hypothesis would be solved within the next 100 years.
Quote:
“The Riemann hypothesis is the most important unsolved problem in mathematics, and has been for over a hundred years.” – Marcus du Sautoy, mathematician and author.
Table:
| Proposed by | Bernhard Riemann |
|---|---|
| Proposed in | 1859 |
| What it concerns | The distribution of prime numbers |
| Potential implications | Revolutionizing number theory, implications for cryptography and computer security |
| Status | Unsolved |
| Reward for proof/disproof | $1 million from the Clay Mathematics Institute |
Associated video
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.
There are other opinions
3x+1 popularly called the Collatz conjecture is the simplest math problem no one can solve. Even though it’s easy for almost anyone to understand it’s also at the same time impossible to solve. It’s was named after Lothar Collatz in 1973. This problem has many origin stories and many names.
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.
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. So here’s how it goes: pick a number, any number. If it’s even, divide it by 2.
What unsolved math equation would change the world if it was solved today?
The vast majority of math problems are not “equations”. A whole important field of mathematics started with the question “Is it possible to go on a walk that goes over each of the 7 bridges in Königsberg exactly once and returns you back where you started?”. No equation there. Of the seven “Millennium Problems” that the Clay Institute is offering a $1M prize to solve, only one is an equation.
And that one is my answer to this question: The Navier-Stokes Equation:
[math]\displaystyle \dfrac{\partial \mathbf{u}}{\partial t} + (\mathbf{u}\cdot
abla)\mathbf{u} –
u
abla^2\mathbf{u} = –
abla w + \mathbf{g}[/math]In this equation, which is a non-linear, non-homogeneous partial differential equation, the [math]\mathbf{u}[/math] is the flow velocity of an incompressible fluid (a function of time and space which tells how fast, and in what direction, the fluid is flowing), the [math]
u[/math] is the kinematic viscosi…
Also, individuals are curious
What math equation has never been solved?
The response is: 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?
Which math is not solved?
The response is: Of the original seven Millennium Prize Problems listed by the Clay Mathematics Institute in 2000, six remain unsolved to date: Birch and Swinnerton-Dyer conjecture. Hodge conjecture. Navier–Stokes existence and smoothness.
Similar
What are the 7 unsolved maths problems?
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?
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.
What are the 7 unsolved math problems?
What are the 7 unsolvable math problems? The problems are the Birch and Swinnerton-Dyer conjecture, Hodge conjecture, Navier–Stokes existence and smoothness, P versus NP problem, Poincaré conjecture, Riemann hypothesis, and Yang–Mills existence and mass gap.
What is the hardest maths equation ever?
Answer: What is the hardest math equation? In 2019, mathematicians finally solved a math puzzle that had stumped them for decades. It’s called a Diophantine Equation, and it’s sometimes known as the “summing of three cubes”: Find x, y, and z such that x³+y³+z³=k, for each k from 1 to 100.
What are the 7 unsolvable math problems?
What are the 7 unsolved problems? The problems are the Birch and Swinnerton-Dyer conjecture, Hodge conjecture, Navier–Stokes existence and smoothness, P versus NP problem, Poincaré conjecture, Riemann hypothesis, and Yang–Mills existence and mass gap.
What is the world’s hardest math equation?
The Navier-Stokes equation, for me is the hardest of all. This is the full Navier-Stokes equation in conservative form. It looks pretty simple, but as one will dig in, they will notice why it is the hardest one.