2018 AMC 8 Problem 25

How many perfect cubes lie between 2^8+1 and 2^{18}+1, inclusive?

\textbf{(A) }4\qquad\textbf{(B) }9\qquad\textbf{(C) }10\qquad\textbf{(D) }57\qquad \textbf{(E) }58

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.