# Thread: Primitive root modulo 121

1. ## Primitive root modulo 121

How to find all primitive roots modulo $11^2$?
I can find some of its primitive roots (e.g: 2), can we find the others by using the found ones?

2. Originally Posted by le_su14
How to find all primitive roots modulo $11^2$?
I can find some of its primitive roots (e.g: 2), can we find the others by using the found ones?
If $2$ is a primitive root all other primitive roots are $\{ 2^k | \gcd(k,\phi(121)) = 1\}$.