In Example 4.22, we disproved the following claim by giving a counterexample: Claim 1: No positive integer is expressible in two different ways as the sum of two perfect squares. Let’s consider a...

In Example 4.22, we disproved the following claim by giving a counterexample:

Claim 1: No positive integer is expressible in two different ways as the sum of two perfect squares. Let’s consider a related claim that is not disproved by our counterexamples from Example 4.22:

Claim 2: No positive integer is expressible in three different ways as the sum of two perfect squares. Disprove Claim 2 by giving a counterexample

Example 4.22