8 divides for all integers n greater than or equal to 1.

Proof:

Basis step:

n = 1

= 0

0/8 = 0

8 divides if n=1

Induction step:

Assume is divisible by 8 (induction hypothesis)

[show 5^(n+1) - 4(n+1) - 1 is divisible by 8]

...now im not sure where to go