Henry Ernest Dudeney/Puzzles and Curious Problems/126 - Making Squares/Solution

by : $126$

 * Making Squares
 * Find three whole numbers in arithmetic progression,
 * the sum of every two of which shall be a square.

Solution
We have the set:
 * $\set {482, 3362, 6242}$

which have a common difference of $2880$.

We see that: