The perfect squares between 100 and 500 are:
100 (10²)
121 (11²)
144 (12²)
169 (13²)
196 (14²)
225 (15²)
256 (16²)
289 (17²)
324 (18²)
361 (19²)
400 (20²)
441 (21²)
and
484 (22²) .
The squares of odd numbers are odd.
The squares of even numbers are even.