*Nobody knows for sure how big it is, but we have some pretty big sofas that do work, so we know it has to be at least as big as them. "But no one has ever been able to prove that for certain."The Beal conjecture The Beal conjecture basically goes like this...*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.

*Nobody knows for sure how big it is, but we have some pretty big sofas that do work, so we know it has to be at least as big as them. "But no one has ever been able to prove that for certain."The Beal conjecture The Beal conjecture basically goes like this...*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.

Yet as I persisted with it for a long time it eventually started to click - ‘it’ referring to being able to solve problems much more easily.

This happens because your brain starts to recognise that problems fall into various categories and you subconsciously remember successes and pitfalls of previous ‘similar’ problems." A Problem-solving Heuristic for STEP Below you will find some questions you can ask yourself while you are solving a problem.

The Moving Sofa Problem This is something most of us have struggled with before - you're moving into a new apartment and trying to bring your old sofa along.

But, of course, you have to maneuver it around a corner before you can get comfy on it in your living room.

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

And you can be sure mathematicians aren't going to stop looking until they find it.

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.

So 15, 10, and 5 all have a common prime factor of 5 (they're all divisible by the prime number 5).

So hard, in fact, that there's literally a whole Wikipedia page dedicated to unsolved mathematical problems, despite some of the greatest minds in the world working on them around the clock.

from the outset at least, some of these problems seem surprisingly simple - so simple, in fact, that anyone with some basic maths knowledge can understand them... Unfortunately, it turns out that proving them is a little harder.

## Comments Maths Problem Solve

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