From your description, what you need is an entity bean that contains the entire list of numbers.
The bean acts as a singleton (if you know the Gang of Four book) with only one bean ever present in the server. You enforce the singleton rule by using a published primary key with a constant value.
Your browser clients can access the data in the entity bean directly, but access through a stateless session bean will give better performance.
See the discussion and code samples at topic :-
This is exactly what I looking for. Thank you very much James.