# Geometric Subsets (Big Number Challenge)

Find the number of 17-element subsets of the set $\{1, 2, 3, \dots, 33^{33}\}$ that form a geometric sequence. Some examples of such 17-element subsets: $\{1, 2, 4, 8, 16, \dots, 65536\}$ and $\{2, 6, 18, 54, \dots, 86093442\}.$

(Solution)