- #1
math_grl
- 49
- 0
I was just browsing for some small problems the other day and came across this problem and I am unsure if it should be obvious and have a quick answer. In any case, I couldn't figure it out.
If [tex]p[/tex] is a prime that divides [tex]a - b[/tex], then show that [tex]p^2[/tex] divides [tex]a^p - b^p[/tex], where [tex]a, b \in \mathbb{Z}[/tex].
If [tex]p[/tex] is a prime that divides [tex]a - b[/tex], then show that [tex]p^2[/tex] divides [tex]a^p - b^p[/tex], where [tex]a, b \in \mathbb{Z}[/tex].