Calendar changes are pretty common through history. Since people have been trying to merge standards throughout the wrold, and there is definitely a long way to go, some countries had to pay the price. In this context, the United States had a pretty rough September in 1752, when they decided to adopt the Gregorian over the Julian calendar.
As a result, 1752 has only 355 days, since September 3 1752 through September 13 175 were omitted. No documented births occurred during that time, and the incident can be replicated in almost every digital calendar including Google Calendar and iOS.