TITLE: Can my MSE reputation be any positive integer?
QUESTION [14 upvotes]: 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?

REPLY [13 votes]: 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.)

REPLY [10 votes]: 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.