The hardest equation ever is subjective and depends on individual opinions, but some contenders include Navier-Stokes equations, the Riemann hypothesis, and Fermat’s Last Theorem.
So let us investigate the query more attentively
The question of what the hardest equation ever is has been of interest to mathematicians and enthusiasts for decades. While there are many difficult equations, there are several contenders for the title of the hardest equation ever.
The Navier-Stokes equations are one contender for this title. These equations describe the motion of fluids, and their complexity makes them difficult to solve. As Nobel laureate physicist Richard Feynman once said, “If you can solve Navier-Stokes, you will have won the Millennium Prize.”
Another equation that is often cited as one of the hardest is the Riemann hypothesis. This hypothesis deals with the distribution of prime numbers, and if proven, it would have profound implications for the entire field of mathematics. As mathematician Barry Mazur notes, “If the Riemann hypothesis is true, then mathematics is not just an abstraction detached from reality, but is at the core of our understanding of the physical world.”
Finally, there is Fermat’s Last Theorem, which was famously solved by mathematician Andrew Wiles in 1994. This theorem deals with the equation xn + yn = zn, and for over 350 years, it stumped mathematicians around the world. As Wiles himself said, “I knew that the problem was important, but I never knew that it would take me seven years to solve it.”
Here is a table comparing the three equations:
| Equation Name | Field of Study | Central Question |
|---|---|---|
| Navier-Stokes Equations | Fluid Dynamics | How do fluids move? |
| Riemann Hypothesis | Number Theory | What is the distribution of prime numbers? |
| Fermat’s Last Theorem | Number Theory/Algebraic Geometry | Are there integer solutions to the equation xn + yn = zn? |
In conclusion, the question of what the hardest equation ever is remains a matter of opinion. However, the Navier-Stokes equations, the Riemann hypothesis, and Fermat’s Last Theorem are often cited as some of the most challenging equations in mathematics. As John Derbyshire wrote in his book Prime Obsession, “Mathematics is not a careful march down a well-cleared highway, but a journey into a strange wilderness, where the explorers often get lost.”
I found further information on the Internet
“There are no whole number solutions to the equation xn + yn = zn when n is greater than 2.” Otherwise known as “Fermat’s Last Theorem,” this equation was first posed by French mathematician Pierre de Fermat in 1637, and had stumped the world’s brightest minds for more than 300 years.
There are several equations that are considered to be the hardest in mathematics and physics. One of the most famous is the Diophantine equation x3+y3+z3=k, with k being all the numbers from one to 100, which has stumped mathematicians for decades. Another famous equation is the Continuum Hypothesis, which involves the concept of infinity and the size of infinite sets. The Navier-Stokes equation is also considered to be one of the hardest equations in physics.
For decades, a math puzzle has stumped the smartest mathematicians in the world. x3+y3+z3=k, with k being all the numbers from one to 100, is a Diophantine equation that’s sometimes known as "summing of three cubes." When there are two or more unknowns, as is the case here, only the integers are studied.
The Continuum Hypothesis is a mathematical problem involving the concept of infinity and the size of infinite sets. It was first proposed by Georg Cantor in 1878 and has remained one of the unsolvable and hardest math problems ever since.
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.
Well by most complex I assume you mean the hardest to understand. The hardest might be a string theory equation, or something deep in quantum mechanics.
The hardest one I could find was the Standard Model Lagrangian. [ https://en.wikipedia.org/wiki/Standard_Model_(mathematical_formulation) ]
It is truly monstrous, and I doubt anyone has any kind of tangible grasp of the equation. After all, this is just the converted form of a load of physics equations into coordinate form, so I doubt this equation serves much purpose on its own.
Scary huh?
In this video, you may find the answer to “What is the hardest equation ever?”
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.
I am sure you will be interested in these topics as well
Hereof, What’s the answer to x3 y3 z3 K?
Response will be: 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.
Has 3X 1 been solved? The response 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.
Keeping this in consideration, What are the 7 hardest math equations?
The answer is: 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 is x3 y3 z3?
The equation x3+y3+z3=k is known as the sum of cubes problem. While seemingly straightforward, the equation becomes exponentially difficult to solve when framed as a "Diophantine equation" — a problem that stipulates that, for any value of k, the values for x, y, and z must each be whole numbers.
One may also ask, What makes the hardest equations in physics so difficult? Response to this: What Makes the Hardest Equations in Physics So Difficult? The Navier-Stokes equations describe simple, everyday phenomena, like water flowing from a garden hose, yet they provide a million-dollar mathematical challenge. Physics contains equations that describe everything from the stretching of space-time to the flitter of photons.
What’s the hardest physics equation?
The answer is: Answer to the question (What is the hardest physics equation?): The hardest general equation to arrive at is perhaps the relativistic mass-energy equation . The hardest interdisciplinary equations to understand are perhaps the quantum algorithms, such as Grover’s quantum search algorithm. Which is the most complicated equation in the world?
Similarly one may ask, What is the most complicated equation in math? Response to this: 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 hardest math problem ever?
Answer to this: What is the hardest math question in the world? 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 hardest algebra problem in the world?
In this regard, What makes the hardest equations in physics so difficult? In reply to that: What Makes the Hardest Equations in Physics So Difficult? The Navier-Stokes equations describe simple, everyday phenomena, like water flowing from a garden hose, yet they provide a million-dollar mathematical challenge. Physics contains equations that describe everything from the stretching of space-time to the flitter of photons.
Then, What’s the hardest physics equation? Answer to the question (What is the hardest physics equation?): The hardest general equation to arrive at is perhaps the relativistic mass-energy equation . The hardest interdisciplinary equations to understand are perhaps the quantum algorithms, such as Grover’s quantum search algorithm. Which is the most complicated equation in the world?
Hereof, What is the most complicated equation in math?
Answer will be: 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.
In this regard, What is the hardest math problem ever? Response to this: What is the hardest math question in the world? 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 hardest algebra problem in the world?