simple unsolved math problems

Mathematics … They seem impossible to even to the brightest mind that the world has to offer. The use of Yang-Mills theory to describe the strong interactions of elementary particles depends on a subtle quantum mechanical property called the “mass gap”: the quantum particles have positive masses, even though the classical waves travel at the speed of light. This page lists some of them. The point at which it goes from one type of motion to the other is called the separatrix, and this can be calculated in most simple situations. But while they thin out, there still seems to be an endless supply of ‘twin primes’ like 3 and 5, 29 and 31, 41 and 43, which differ by 2. The reason why this question is so difficult is that it is more of a guessing game, it makes you go through every possible combination and there are over 100 millio… Pay by Direct Debit and get 52% off an annual subscription*, Receive every issue delivered direct to your door with FREE UK delivery. This would take far too long as the possibilities are complex even for a person with a PhD in maths, therefore, academics are trying to figure out a different way of solving this equation. questions have not been answered to date: The So here's how it goes: pick a … We are still waiting, In order for you to never miss a story, you can subscribe to this monthly newsletter that will keep you up to date with the latest and greatest articles published each week. Robert is a science writer and visiting professor of science at Aston University. Is there any point to finding ever-bigger prime numbers? This is a question that still remains unsolved since 1859. What the problem asserts to is that using the zeta function with power to the zero has a non-obvious answer. known that all even perfect numbers are of the When the prime numbers are written down (2, 3, 5, 7, 11, 13, 17, 19, and so on) two patterns emerge. Why near you may ask, the mind of a mathematician provides that impossible has a number, therefore, nothing is impossible. You can explore the Goldbach conjecture interactively with All numbers are thus either prime themselves, or can be made from a unique combination of primes multiplied together. they have since been solved. Are there infinitely many The following The way in which the combination of two can be explained is with a new groundbreaking idea that will describe a new side of mathematics as well as physics. This is a question that utilizes the laws of quantum physics. If by ‘simplest’ you mean easiest to explain, then it’s arguably the so-called ‘Twin Prime Conjecture’. Subscribe to BBC Focus magazine for fascinating new Q&As every month and follow @sciencefocusQA on Twitter for your daily dose of fun facts. He likes maths, West End musicals and hamsters. If by ‘simplest’ you mean easiest to explain, then it’s arguably the so-called ‘Twin Prime Conjecture’. or finitely many. So it seems possible that twin primes might do so too. These questions have been provided by the Clay Mathematics Institute of Cambridge to which the person who manages to solve one will gain the prize of 1 million US dollars. and Perfect numbers have been studied since antiquity. This brilliant man has been looking at a way to investigate and measure shapes of complicated objects. knows the answers to these questions. PA1UM. Has every possible chess game been played? First, they become progressively rare: while 25 per cent of numbers between 1 and 100 are prime, this falls to just 5 per cent between 1 and a billion. You can also explore prime twins interactively with It can be shown that p must be prime for (*) to be are prime. school student to understand. If the sum exceeds the number it is abundant, otherwise it is deficient. Nobody How many prime twins are there? Four Color Map Problem He has come up with a very complex equation that still makes brilliant minds scratch their heads. How many even perfect numbers are there? You can see a longer He has also looked at giving a better prediction of the waves that hit the boat in a lake. This question may be one of the ‘easiest’ out of the 6th however, still no clue upon how to solve it, to give you an idea this is the sort of equation we are looking at: This small equation has been exhausted to be worked out over 134 pages and still not close to an answer. Prime numbers are the building blocks from which every whole number can be made. 18 is less than 1 + 2 +3 + 6 + 9 =21, the number 15 is deficient since 15 is greater than 1+3+5 =9 and. sounding but unsolved problems that were easy for a high For example: the number 18 is abundant since. list of prime numbers What Navier stokes has been trying to explain his whole life was a prediction of the air turbulence caused in the air when flying. Discover our latest special editions covering a range of fascinating topics from the latest scientific discoveries to the big ideas explained. By Avery Thompson. Even schoolchildren can understand it, but proving it has so far defeated the world’s best mathematicians. More PLUS a free mini-magazine for you to download and keep. Listen to some of the brightest names in science and technology talk about the ideas and breakthroughs shaping our world. It is His idea was simple at hand, he wanted to see to what extent can we approximate the shape of a given object by combining simple geometric building blocks. Fine print, your comments, more links, Peter Alfeld, These problems have been named the millennium problems as they still haven’t been solved passed the year of 2000. form. Our daily newsletter arrives just in time for lunch, offering up the day's biggest science news, our latest features, amazing Q&As and insightful interviews. So what we are looking for is an answer to explain why adding and an infinite amount of numbers does not give us an infinite result. the Prime Machine Easy to understand, supremely difficult to prove. Take a look, From Ancient Egypt to Gauge Theory, the story of the groma, Linear-Algebra-MIT-Gilbert-Strang-(L21-L23). the Prime Machine This is the worlds most difficult and unsolved computer problem, to put in the most simple terms P stands for problems that are easy to solve for a computer and NP stands for problems that are difficult to solve for a computer but, are easy to check for a computer.

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