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Fermats Last Theorem

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I finished reading Simon Singh's 'Fermat's Enigma' and had earlier read his 'Fermats Last Theorem ( FLT )'. I am yet to come across a problem which a ten year old can understand, appears deceptively simple and yet has been one of the toughest problems in mathematics and and took over 300 years to prove. Simon obviously makes it an interesting read, a racy thriller so to say. This is going to be a long one. I want to talk about certain things in detail, which I liked, though I will keep it simple. Let me start with, what is FLT and why its called so ? We all know whats Pythagoras Theorem. One of the most fundamental theorems which everyone has to learn irrespective of which stream they study. Its says for a right angled triangle, the square of the hypotenuse equals sum of the square of the two other sides. Mathematically presented x^2 + y^2 = z^2 where The above equation in a general form would look like x^n + y^n = z^n [ has no whole no. solutions for n>2 ] F...