See the article on Patience at Wikipedia.
Patience opened at the Opera Comique on 23 April 1881 and played until 8 October 1881 for 170 performances.
Patience re-opened at the new Savoy Theatre on 10 October 1881 and played until 22 November 1882 for 408 more performances.
The total run for the original production was therefore 578 performances.