# Thread: primitive element of Zp

1. ## primitive element of Zp

Hi there, could you please help me to find primitive elements fo $\displaystyle Z 24960^*$ and for Z 458009^*

thanks all,

2. Hello.

I dropped those groups into Mathematica and found the primitive root 3 for $\displaystyle \mathbb{Z}_{458009}^*$. The order of the other group is not of the form 2, 4, p^n, 2p^n, for some prime p, so it does not have any primitive roots.

Good luck.