What is the hardest math puzzle?

x³+y³+z³=k, with k being all the numbers from one to 100, is a Diophantine equation

Diophantine equation

Diophantine problems have fewer equations than unknowns and involve finding integers that solve simultaneously all equations. As such systems of equations define algebraic curves, algebraic surfaces, or, more generally, algebraic sets, their study is a part of algebraic geometry that is called Diophantine geometry.

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Diophantine equation - Wikipedia

that's sometimes known as "summing of three cubes."

What does x3 y3 z3 k equal?

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.

What is the hardest math task?

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.

Why is 3X 1 a problem?

The 3x+1 problem concerns an iterated function and the question of whether it always reaches 1 when starting from any positive integer. It is also known as the Collatz problem or the hailstone problem. . This leads to the sequence 3, 10, 5, 16, 4, 2, 1, 4, 2, 1, ... which indeed reaches 1.

The hardest problem on the hardest test

What is the 1 3 2 3 problem?

The 1/3–2/3 conjecture states that one can choose two elements x and y such that, among this set of possible linear extensions, between 1/3 and 2/3 of them place x earlier than y, and symmetrically between 1/3 and 2/3 of them place y earlier than x.

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.

What is the biggest math problem ever solved?

Mathematicians worldwide hold the Riemann Hypothesis of 1859 (posed by German mathematician Bernhard Riemann (1826-1866)) as the most important outstanding maths problem. The hypothesis states that all nontrivial roots of the Zeta function are of the form (1/2 + b I).

What is the hardest math problem never solved?

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?

What is the square √ 64?

What is the Square Root of 64? The square root of 64 is 8, i.e. √64 = 8. The radical representation of the square root of 64 is √64. Also, we know that the square of 8 is 64, i.e. 8² = 8 × 8 = 64.

How hard is calculus?

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.

What is the hardest algebra 1 problem?

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."

What is 42 as sum of cubes?

Now, two mathematicians, Andrew Sutherland of MIT and Andrew Booker of Bristol, have jointly proven that 42 is indeed the sum of three cubes. For years, mathematicians have worked to demonstrate that x³+y³+z³ = k, where k is defined as the numbers from 1-100.

Who created math?

The Greek mathematicians are credited with developing mathematics. Several topics from different parts of the world were contributed at the same time by numerous mathematicians. So, nobody is called an inventor of mathematics. But the father of mathematics, Archimedes, is widely regarded.

Who is the human calculator girl?

Shakuntala Devi (4 November 1929 – 21 April 2013) was an Indian mental calculator and writer, popularly known as the "Human Computer". Her talent earned her a place in the 1982 edition of The Guinness Book of World Records.

How does 3x 1 work?

The 3x+1 Conjecture asserts that, starting from any positive integer n, repeated iteration of this function eventually produces the value 1. The 3x+1 Conjecture is simple to state and apparently intractably hard to solve.

What is a crazy math equation that equals 1?

Sin(x)² + cos(x)² = 1. This is a trigonometric identity. Could also be written like sin² (x) + cos² (x).

What is the 1 million dollar math problem?

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.

What math problems have never been solved?

What is the most mysterious number in math?

Simply put, pi is weird. Mathematicians call it a "transcendental number" because its value cannot be calculated by any combination of addition, subtraction, multiplication, division, and square root extraction.