Date: Jun 26, 2006 6:09 AM Author: cuthbert Subject: Pythagorean triples There are some Pythagorean triples ( = integers {a,b,c}: a^2+b^2-c^2=0) such that the shorter two sides differ by only 1. E.g. 20, 21, 29 ; 119, 120, 169.

Is there a finite number of such triples? If so, how many?

Or

Show that there is an infinite number.