## 49^m – 33^n

Posted by Chris under MathsChallenge (21 Responds)

I can’t stand the lack of activity, so here’s a semi-rubbish problem.

1. If x = 49^m – 33^n, where m and n are positive integers, what is the smallest (in magnitude) positive and negative value of x, and what are the corresponding values of m and n? Prove your answer.

2. The above is easy. [...]