Determine, with proof, the minimum positive value of 33^m - 7ⁿ, where each of m and n is a positive integer.

33^m mod 48=33

7^n mod 48 = {1,7}

So the minimum positive value of the difference is either 32, or it is 26. Since 26 is less than 32, the answer is 26.

Edited on November 6, 2011, 1:55 pm

Posted by broll on 2011-11-06 13:51:34