Prove that there exists a positive integer $n < 10^6$ such that $5^n$ has six consecutive zeros in its decimal representation.
This problem was proposed by Evan Chen.
USAJMO 2016
- Kazi_Zareer
- Posts:86
- Joined:Thu Aug 20, 2015 7:11 pm
- Location:Malibagh,Dhaka-1217
We cannot solve our problems with the same thinking we used when we create them.
Re: USAJMO 2016
The first principle is that you must not fool yourself and you are the easiest person to fool.