Question 1151144
<pre>
That's false because, as you can see below, SIX, not five, integers between 440
and 500 can be written as the sum of two squares in two different ways. If we
include 500, then SEVEN integers can be.

1² + 21² = 442
9² + 19² = 442

 2² + 21² = 445
11² + 18² = 445

 3² + 21² = 450
15² + 15² = 450

 9² + 20² = 481
15² + 16² = 481

 1² + 22² = 485
14² + 17² = 485

 3² + 22² = 493
13² + 18² = 493

 4² + 22² = 500
10² + 20² = 500

Edwin</pre>