NOTE: This should really be posted in the DB forum.
The following query will work, however the column names have been changed to protect the innocent:
SELECT auto_id FROM players WHERE auto_id > $someNumber ORDER BY auto_id ASC LIMIT 1;
BUT, do you really need to do this? If you're going to be working with more than one per page, just get all the results you need in one query to begin with instead of doing lots of small querries. If that's really what you need though, by all means use it, but when weirdness like this pops up, it's usually a good idea to take another look at your layout and the assumptions you've made.