Barnard's star
Barnard's Star will make its closest approach to the Sun around AD 11,700, when it approaches to within about 3.8 light-years. However, at that time, it will not be the nearest star, since Proxima Centauri will have moved even closer to the Sun. Barnard's Star will still be too dim to be seen with the naked eye at the time of its closest approach, since its apparent magnitude will be about 8.5 then. After that it will gradually recede from the Sun.