You should see a doctor. A cough could be caused by smoking and a lot of other causes. If you smoke, I recommend stopping that. See your doctor and explain your symptoms so tests can be done.
If you have a cough for anything more than a few days you should be concerned. For taht matter, anything unusual happening to your body for more than a few days should cause you to get checked out by a professional.
A person should absolutely be concerned if they have had a chronic cough for that long. However some things to consider: Do you smoke? Have you been ill? Is the cough production or not? Give your doctor a call.