ASK: Tanning beds without a bathing suit bad for breasts?

Recently I've thought about going to a tanning salon for the first time because of the gloomy summer weather and the fact I can't get out much because of work. I won't be excessively tanning, only 1-3 15 minute sessions, but I'm curious to know if it's safe to go 100% nude while tanning. In particular, is it dangerous to tan your breasts? Can your nipples burn more easily/faster than the surrounding skin?