- #1

- 5

- 0

So I suppose I'm having trouble doing computations in [itex]\mathbb{Z} / 7\mathbb{Z}[/itex], or [itex]\mathbb{Z} / n\mathbb{Z}[/itex] in general. I mean, I know that if [itex]a \equiv b \bmod{n}[/itex] then [itex]n \mid a-b[/itex], but in this case I'm not sure where to take it. Is it:

[itex]5^0 = 1 \equiv[/itex] something [itex]\bmod{7}[/itex], then [itex]5^1 = 5 \equiv[/itex] something [itex]\bmod{7}[/itex] etc?

Sorry if my question(s) is a bit hard to read; perhaps I didn't explain it as best I could. But any help would be appreciated.