Two given positive integers are raised to the same power and added. The power to which they are raised is an integer greater than 1. The sum is a power of 2. What is the maximum possible difference between the two given integers?
Sunday, April 8, 2012
Please email your solutions to email@example.com.
This puzzle is taken from:
- Hobson, Nick. "Solution to puzzle 142: Sum of two nth powers." Nick's Mathematical Miscellany. 29 Oct. 2006. 15 Apr. 2012 <http://www.qbyte.org/puzzles/p142s.html>.