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)