"Prove the statement by example." is a horribly misguided demand. One can suggest or conjecture based on a few examples. Prove? No. (Well, unless there're very few possible examples.)
If stated properly, it should insist that you prove the statement by showing EVERY POSSIBLE example. (Look up the first proof of the 4-color problem.)
What do you suppose are your chances of showing an example for EVERY WHOLE NUMBER?