Fermat's Last Theorem/The Theorem
The Last Theorem
Fermat's Last Theorem can be stated simply as follows:
- It is impossible to separate any power higher than the second into two like powers,
or, more precisely:
- If an integer n is greater than 2, then the equation an + bn = cn has no solutions in non-zero integers a, b, and c.
If you let n = 2, the equation takes the form used in the Pythagorean Theorem.
Since this equation can be satisfied by non-zero integers, the requirement that n be greater than 2 is necessary.