9 and 16
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The square numbers between 1 and 20 are 1,4,9 and 16.
All whole numbers between 1 and 400 (=20 square).
There are (not counting 1) three square numbers between 1 and 20.
4
The even square numbers between 20 and 120 are 36, 64, and 100. These correspond to the squares of the even integers 6, 8, and 10, respectively.