# Hardest Math Problem Ever Solved Englisch Essay Schreiben 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.Only one of these problems has been solved and it is the Poincaré conjecture, which states that if every loop in a three dimensional manifold can be shrunk to a point, then the manifold can be deformed into a three-dimensional sphere.According to the inscribed square hypothesis, inside that loop, you should be able to draw a square that has all four corners touching the loop, just like in the diagram above. but mathematically speaking, there are a whole lot of possible loop shapes out there - and it's currently impossible to say whether a square will be able to touch all of them."This has already been solved for a number of other shapes, such as triangles and rectangles," writes Thompson, "But squares are tricky, and so far a formal proof has eluded mathematicians."Goldbach's conjecture Similar to the Twin Prime conjecture, Goldbach's conjecture is another seemingly simple question about primes and is famous for how deceptively easy it is.The question here is: is every even number greater than 2 the sum of two primes?The Twin Prime conjecture Prime numbers are those magical unicorns that are only divisible by themselves and 1.

or ones that defy all the rules and logic we have so far.

We also have some sofas that don't work, so it has to be smaller than those. If AAnd A, B, C, x, y, and z are all positive integers (whole numbers greater than 0), then A, B, and C should all have a common prime factor.

All together, we know the sofa constant has to be between 2.2195 and 2.8284." 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. A common prime factor means that each of the numbers needs to be divisible by the same prime number.

For example, let's use our numbers with the common prime factor of 5 from before....5This one requires a little drawing.

On a piece of paper, draw a loop - it doesn't have to be any set shape, just a closed loop that doesn't cross itself.

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