Fermat’s Last Theorem states that no three positive integers a, b, and c can satisfy the equation an + bn = cn for any integer value of n greater than two.

First problem.

1. Write a function named check_fermat that takes four parameters—a, b, c and n and that checks to see if Fermat’s theorem holds. If n is greater than 2 and it turns out to be true that an + bn = cn the program should print, “Fermat was right!” Otherwise the program should print, “No, that doesn’t work.”

2. Write a function that prompts the user to input values for a, b, c and n, converts them to integers, and uses check_fermat to check whether they violate Fermat’s theorem.


Second problem.

In addition to the first problem, your code should let user make input and therefore to produce result.

Hint: use the built-in function <<raw_input>> and make the user input always be an integer.