34th century
The 34th century was defined in the calendar of Earth as being from 3301 until 3400.

Events 

 According to Obrist, if the Krenim weapon ship continued to alter time to this point, full restoration of the Krenim Imperium would not have been achieved. ()
 According to Karr, no one would remember the name "Hirogen" by this point had their culture continued to stagnate. ()