Question 26
Determine all triples $(a, b, c)$ of positive integers for which $a b-c, b c-a$, and $c a-b$ are powers of 2 .
Explanation: A power of 2 is an integer of the form $2^{n}$, where $n$ denotes some nonnegative integer.
Explanation: A power of 2 is an integer of the form $2^{n}$, where $n$ denotes some nonnegative integer.