MathDB

2.3

Part of 2013 Saudi Arabia Pre-TST

Problems(1)

exists a power of a whose last n digits are 0...01

Source: 2013 Saudi Arabia Pre-TST 2.3

9/13/2020
The positive integer aa is relatively prime with 1010. Prove that for any positive integer nn, there exists a power of aa whose last nn digits are 0...0⏟n-11\underbrace{0...0}_\text{n-1}1.
number theoryPowerlast digits