## USAJMO 2016

For discussing Olympiad Level Number Theory problems
Kazi_Zareer
Posts: 86
Joined: Thu Aug 20, 2015 7:11 pm
Location: Malibagh,Dhaka-1217

### USAJMO 2016

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.
We cannot solve our problems with the same thinking we used when we create them.

joydip
Posts: 48
Joined: Tue May 17, 2016 11:52 am

### Re: USAJMO 2016

The first principle is that you must not fool yourself and you are the easiest person to fool.