You need to have the bioload to run that skimmer. You can go with the 3000 or the 5000 but if you go with the higher skimmer, you need to have the bioload. That means you feed your tank more and you have biopellets. So yes, you can use the 5000 as Jeremy stated but you need the bioload to do so.
Skimmer will not work if there are no organic (or not enough) to work. If the bioload is not there, the skimmer will not work.