Show that the product of three consecutive positive integers cannot be the n-th power of an integer, for any integer n>1.

(In reply to Solution? by KC)

"If the product is an n-th power, then x=a^n for some integer a."

Shouldn't that be x=K.a^n, for integer K and a?

Posted by Old Original Oskar! on 2005-09-05 15:03:53