Wrapped in [latex] shortcodes

Morty Morterson and Mark

In the 17th century, Pierre de Fermat had discovered many intriguing results about them, such as the fact that every prime number of the form 4n + 1 for some integer n is a sum of two squares. For example, 5 = 4 \times 1 + 1 = 2^2 + 1^2  and 13 = 4 \times 3 + 1 = 3^2 + 2^2. He also had a proof that there are no integers x, y, z greater than 1, such that

x^4 + y^4 = z^4.

He had even incautiously committed himself to the statement that there are no integers x, y, z greater than 1, such that

x^n + y^n = z^n.

for any integer n other than 1 or 2.

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