What is the hardest math question?

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 was the hardest math question in the world?

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's the answer to x3 y3 z3 K?

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?

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 Simplest Math Problem No One Can Solve - Collatz Conjecture

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 3x 1 called?

Abstract: (taken from the Introduction) The 3x+1 problem, also known as the Collatz problem, the Syracuse problem, Kakutani's problem, Hasse's algorithm, and Ulam's problem, concerns the behavior of the iterates of the function which takes odd integers n to 3n+1 and even integers n to n/2.

How many pages did it take to prove 1 1 2?

Now we can understand why it took them 379 pages just to prove 1+1=2. It's because they did not only intend to prove mathematics logically, but they also intended to give meaning to numbers like “1” and “2” as well as to symbols such as “+” and “=”.

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.

What does K equal in math?

K comes from the Greek word kilo which means a thousand. The Greeks would likewise show million as M, short for Mega.

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.

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 math is 111?

MATH 111 - College Algebra II.

What are numbers like 1 2 3 4 called?

Natural Numbers (N), (also called positive integers, counting numbers, or natural numbers); They are the numbers {1, 2, 3, 4, 5, …}

Who made the 3x+1 problem?

Whatever its exact origins, the 3x + 1 problem was certainly known to the mathematical community by the early 1950's; it was discovered in 1952 by B. Thwaites [69].

What is the oldest math problem?

Mathematicians worldwide hold the Riemann Hypothesis of 1859 (posed by German mathematician Bernhard Riemann (1826-1866)) as the most important outstanding maths problem.

What math problems Cannot be 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 longest math problems?

Andrew Wiles (UK), currently at Princeton University in New Jersey, USA, proved Fermat's Last Theorem in 1995. He showed that xn+yn=zn has no solutions in integers for n being equal to or greater than 3. The theorum was posed by Fermat in 1630, and stood for 365 years.

What is 0.33333333333 as a fraction?

0.33333333333… =1/3.

What is the answer for 1 3 1 2?

1/2 + 1/3 = 56 ≅ 0.8333333

Spelled result in words is five sixths.

What is the answer for 1 1 2 3 4?

1 1/2 + 3/4 = 94 = 2 14 = 2.25. Spelled result in words is nine quarters (or two and one quarter).