54th century

To the Ninth Doctor's recollection, the Cyber-Empire annexed Malleon in the early 54th century, in either the 5300s or 5310s. (COMIC: The Bidding War)

The Eleventh Doctor found himself in the year 5345 after passing through a portal on Earth in 1941. (TV: The Doctor, the Widow and the Wardrobe) The Twelfth Doctor visited Mendorax Dellora in 5343. (TV: The Husbands of River Song)

Humanity was confined to Mutter's Spiral until the discovery of the intergalactic drive in the 54th century. (AUDIO: The Star Men)