What is the name of the only skyscraper designed by Wright that was built?

The only skyscraper designed by Frank Lloyd Wright that was built is Price Tower.

Price Tower rises 19 stories in Bartlesville, Oklahoma, and was completed in 1956 for the H. C. Price Company. Wright nicknamed it “the tree that escaped the crowded forest,” a reference to its isolated prairie setting and its vertical, tree-like structural concept.

The tower grew from Wright’s long interest in skyscrapers. His earlier proposals—including the 1925 St. Mark’s-in-the-Bouwerie apartment project and the gigantic Mile-High Illinois—never advanced to construction. Price Tower therefore became his only realized skyscraper, even though he designed other tall structures.

A common mix-up is the Johnson Wax Research Tower in Racine, Wisconsin. That building is tall and vertically oriented, but it is generally classified as a research tower rather than a skyscraper. Price Tower is the accepted answer because it is Wright’s sole completed skyscraper and one of his most distinctive commercial buildings.