"indigenous" now eh?  in·dig·e·nous /inˈdijənəs/ adjective
  1. originating or occurring naturally in a particular place.

At the time of Capt. Cook's arrival it is now accepted by the University of Hawaii that the Polynesians were only here for about 500 years.  Europeans have now been in North America for 500 years.  I guess then by your own definition Europeans are now Native, and indigenous, to North America.

read: http://www.hawaii.edu/malamalama/2011/04/polynesia/