Can a HashSet contain more than 2^31 -1 elements?

Question

In C# code dealing with any HashSet we need to know if it would be necessary to use the LongCount() method of IEnumerable in order to get the number of elements in the set, or should one always use the Count property, which is of type int32 and has a maximum value of 2^31 - 1.

If there exists such limitation on the maximum number of elements in a HashSet, then what type to use when we need to deal with a set that has numberOfElements >= 2^31 ?

Update: The exact answer can be found if one runs as part of their code this:

var set = new HashSet<bool>(Int32.MaxValue -1);

Then this exception is thrown -- note what the message says:

But anyway, one shouldn't be forced to experiment just to find a simple fact, whose place is in the language documentation!