# 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?

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You forgot the +100 association bonus. Furthermore, there is the +200 reputation cap which may cause you to get only a part of some reputation (edit, answer, accepted answer) score when you hit that cap. –  azimut Nov 4 '13 at 10:52
if one downvotes something one gets -1. –  miracle173 Nov 4 '13 at 13:38
No. The universe will experience a heat death, so time is finite, and hence the total number of possible MSE posts is finite. Your reputation cannot be any positive integer. –  nayrb Jun 5 '14 at 18:03

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.