Fermat's Last Theorem - Wikipedia
https://en.wikipedia.org/wiki/Fermat's_Last_TheoremIn ancient times it was known that a triangle whose sides were in the ratio 3:4:5 would have a right angle as one of its angles. This was used in construction and later in early geometry. It was also known to be one example of a general rule that any triangle where the length of two sides, each squaredand then added together (3 + 4 = 9 + 16 = 25), equals the square of the length of the third side (…
The Solving of Fermat's Last Theorem
www.math.uci.edu › ~krubin › lecturesSuppose Fermat’s Last Theorem is false, so there are a;b;c, and n 3 such that an +bn = cn. Define an elliptic curve E a;b;c: y 2 = x(x nan)(x +b ): Idea (Frey, 1985) The elliptic curve E a;b;c has such strange properties that it cannot exist! If correct, Frey’s idea shows that no such a, b, c, and n can exist, and hence Fermat’s Last ...