# It's Totally Totative!

Define a positive integer $$n$$ to be totatively prime if the set of all positive integers less than $$n$$ that are relatively prime to $$n$$ contains no composite numbers. What is the largest totatively prime number?

For example, 9 is not totatively prime because 4 is less than 9 and is relatively prime to 9, but 4 is composite.

×