Sweet 17

Let $x$ be any positive integer greater than $17^{17}$ , which is not divisible by $17$.

Then which of the following is always true :

A: either $x^8-1$, or $x^8+1$, is divisible by $17$.

B: either $x^9-1$, or $x^9+1$, is divisible by $17$.

C: either $x^8-1$, or $x^9+1$, is divisible by $17$.

D: either $x^8+1$, or $x^9-1$, is divisible by $17$.

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