# Fermat's Last Theorem/The Theorem

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## The Last Theorem[edit | edit source]

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*a*has no solutions in non-zero integers^{n}+ b^{n}= c^{n}*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.