# Did I do something wrong?

I had been working on Fermat's Last Theorem and decided to try this equation:

$$3987^{12} + 4365^{12}=n^{12}$$.

Using a calculator, I got the value of $$n$$ as $$4472$$, which is impossible since Fermat's Last Theorem clearly states that $$x^n + y^n = z^n$$ is not possible for any positive integer value of $$x, y$$ and $$z$$ provided that $$n > 2$$. What did I do wrong?

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