After 65 Years, Supercomputers Finally Solve This Unsolvable Math Problem (2024)

FAQs

What is the answer for x3, y3, z3, k? ›

Expert-Verified Answer

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." ∴ The required result will be 3xyz. Step-by-step explanation: Hope the answe 3xyz helps to answer your given question.

The 3x + 1 problem, is a math problem that has baffled mathematicians for over 50 years. It's easy to explain: take any positive number, if it's even, divide it by 2; if it's odd, multiply it by 3 and add 1. Repeat this process with the resulting number, and the conjecture says that you will eventually reach 1.

1. Riemann Hypothesis. The Riemann Hypothesis, proposed by Bernhard Riemann in 1859, is a central problem in number theory, and discusses the distribution of prime numbers. The hypothesis focuses on the zeros of the Riemann zeta function.

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.

Using the identity and proof: x^3+y^3+z^3-3xyz=(x+y+z)(x^2+y^2+z^2-xy-yz-zx).

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.

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.

Is calculus the hardest math? ›

Calculus is widely regarded as a very hard math class, and with good reason. The concepts take you far beyond the comfortable realms of algebra and geometry that you've explored in previous courses. Calculus asks you to think in ways that are more abstract, requiring more imagination.

The first million-dollar maths puzzle is called the Riemann Hypothesis. First proposed by Bernhard Riemann in 1859 it offers valuable insights into prime numbers but it is based on an unexplored mathematical landscape. If you can show that its mathematical path will always lie true, $1m (£600,000) is all yours.

The Riemann Hypothesis holds one of the seven unsolved problems known as the Millennium Prize Problems, each carrying a million-dollar prize for a correct solution. Its inclusion in this prestigious list further emphasizes its status as an unparalleled mathematical challenge.

The seven problems are the Birch and Swinnerton-Dyer Conjecture, the Hodge Conjecture, the Navier-Stokes Equations, P versus NP, the Poincaré Conjecture, the Riemann Hypothesis, and the Yang-Mills Theory. In 2003, the Poincaré Conjecture was proven by Russian mathematician Grigori Perelman.

The equation is called Diophantine equation and is also referred to as the summing of three cubes. It can be written as x3+y3+z3=k. The equation is called Diophantine equation and is also referred to as the summing of three cubes.

A solution to an equation is a value of a variable that makes a true statement when substituted into the equation. The process of finding the solution to an equation is called solving the equation. To find the solution to an equation means to find the value of the variable that makes the equation true.

Answer to the question (What is the hardest physics equation?): * The hardest general equation to arrive at is perhaps the relativistic mass-energy equation E = {m_0} c^2/ \sqrt{1 - {v^2}/{c^2}} . * The hardest specific equations to solve are perhaps the nonlinear Schrodinger equations or nonlinear solito…