Show that there is an infinite sequence of distinct positive integers a, b, c, d, ... for which ab+1, bc+1, cd+1, ... are all squares.

For every number n, n(n+2)+1 = (n+1)², therefor for the series of odd numbers or the series of even numbers, any pair can be used as n and (n+2) therby fufilling the requirement of ab+1 for a=n and b=(n+2).

Posted by Erik O. on 2004-06-23 08:26:26