Princeton University requires an SAT score in the range of 2080-2360 or better for admission. If you are looking at this without the writing section (the old way), its a 1390-1580 or better.
You can look at this, as well as ACT and GPA requirements at :
http://collegesearch.collegeboard.com/search/CollegeDetail.jsp?college Id=4221&profileId=6

