I got exactly the same thing, yesterday I took a visit to my aunt. She used to work at an ambulance. I asked her about something else, my skin cracks sometimes when I pinch it. She said that's a sign of a collapsed lung, besides that your chest should be slanting (?) when you inhale. That's because just one lung is filled with air, so just one side of your chest comes up... My chest was luckily normal so it's just some strange skin-thingy...
I hope I helped you a bit, just don't stress too much. I have the same thing as you but on the left side which scared me in the beginning but now anymore. I think my pain is more from stress, but I have to see a doctor in a few days...
Good luck!