When p is prime number, explain all the elements of $S_p$, whose the order is not divisible by any prime numbers less than p

Question

I'm studying a first course in abstract algebra, and currently I'm stuck with this problem.

The problem is that, when p is prime number, explain all the elements of $S_p$, whose the order is not divisible by any prime numbers less than p.

I just know that the group $S_p$ is generated by any transposition and any p-cycle.

Can you suggest possible approaches or ideas?

Answer 1

In fact, every element of $S_p$ is, for example, if $2< p$, $[2]=\{n \in \Bbb Z: n\mod(p) =2\}.$ All the numers of $[2]$ are viewed as the same element of $S_p$, i.e., $[2]$.