Can my MSE reputation be any positive integer?
As far as I know there are five kinds of vote
- $+2$ for an edit
- $-2$ for a downvote
- $+10$ for an answer
- $+15$ for an accepted answer
- $+5$ for a question
Suppose that this is true. Can a MSE reputation take any positive integer value? How do you prove it?
Yes. Just note that one upvote on a question, and then two downvotes equal $1$ point in reputation.
(Also note that $+2$ for edits only hold below a certain limit; and you can lose a point by downvoting an answer.)
Yes, since $\gcd(2,15)=1.$ Then use that $15-7(2)=1=15+7(-2)$ Multiply this by any $n$ to get $n$ points.