In a right-angled triangle the square of the hypotenuse is equal to the sum of the squares on the other two sides - this is Pythagoras' Theorum.Fermat attempted to find a theorum that would provide integer only values for the lengths of the the sides of a right-angled triangle.
In number theory Fermat's last theorem states that no three positive integers a, b, and c can satisfy the equation a^n + b^n = c^n for any integer value of n greater than two. This simple statement was a conjecture made by French mathematician Pierre de Fermat in 1637. The first successful proof only arrived 358 years later in 1994 by British mathematician Andrew Wiles, making use of 20th century developments in algebraic number theory.
The equation a^n+b^n=c^n has no solution for n>2.
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