No, there is no way to treat a dry socket at home if it is indeed a dry socket. It typically involves a Dentist inserting a medicated material into the dry socket daily to help relieve the pain and heal the area. Typically, when inspecting the area where the tooth was extracted you will see an empty hole or even bone can be seen because the blood clot is no longer there.
Pain will be your guide. If the pain gets severe enough, you will be searching for someone to help you and If you do indeed have a dry socket, it will also delay the healing process.
Pain 5 days out is completely normal and so is the 'hole' you are feeling. Since you have taken all of your medicine and have basically kept the pain at bay since the extraction, feeling the discomfort at this stage is expected.
So basically, the hallmart sign of a dry socket is terrible pain and a bad odor and taste coming from the area.
Dry sockets will eventually heal on it's own, but most times the pain gets too unbearable for the patient to endure and sometimes infection will also be a factor with a dry socket.
I would suggest that if you are still having pain that increases or does not improve in the next 2 days to give your oral surgeon a call and see if they can work you in to be looked at.
Hope this helps
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