OK, patenees are not the only smart people, but here are the cities with the most patents per capita:

Alpine
Fruit Heights
Hyde Park
Lindon
Park City

The top cities by the number of patents are:

Draper
Orem
Provo
Salt Lake
Sandy
Spanish Fork

These are in alphabetical order.  To find out how the rank, come to Utah Genius, Tuesday, May 12, 2009 at the Grand America.