Prove that there does not exist any triplet (A, B, C) of positive integers, that satisfy this equation:

                                (36A + B)(36B + A) = 2^C

That's neat, Gamer.

My solution was to express both factors as powers of 2, subtract, and derive a division contradiction, but your solution is much slicker.

 

Posted by xdog on 2008-07-12 22:37:13