IMO 2015 Shortlist N5
Determine all triples pa,b,cq of positive integers for which ab ´ c, bc ´ a, and ca ´ b are powers of 2. Explanation: A ...
Category: Number Theory
Problem
Determine all triples pa,b,cq of positive integers for which ab ´ c, bc ´ a, and ca ´ b are powers of 2. Explanation: A power of 2 is an integer of the form 2n , where n denotes some nonnegative integer. (Serbia)