How To Create Exception

I use this piece of code to automatically timestamp a row if any data in that row is updated. I however, do not want this to apply to column 1. I figure there is a way to create an exception but I am having difficulty figuring out how.

Private Sub Worksheet_Change(ByVal Target As Range)
  If Target.Column = 1 Or Target.Column > 17 Then Exit Sub
    Application.EnableEvents = False
    Cells(Target.Row, "H") = Now
    Application.EnableEvents = True

I appreciate any insight anyone can offer.

Thanks!