Wonder if they will get some kind of bonus points in heaven for the streak of daily prayers for more than a thousand years uninterrupted. Don't lose the streak! ;)
There's a great book "The Way of the Pilgrim" that explores a man's journey to discover what 'prayer without ceasing' means and how it could be possible.
There's also a monastery that was called 'the unsleeping ones' where they divided the hours of the day into shifts and had monastics in prayers throughout the day and night continuously.