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 re: Solution? by Old Original Oskar!)

Since x doesn't share any common factors with x-1 and x+1, it must itself be an entirely n-th power...(am I correct in stating this?)

Posted by Tan Kiat Chuan on 2005-09-05 17:55:50