Sweet 17
Number Theory
Level
3
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 \(17\).
by
Danish Ahmed