There are 2*13 = 26 natural numbers between them.
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They are from 11 squared to 22 squared making a total of 12 square numbers between 100 and 500
There are 20 natural numbers between 32 and 53.
152 = 225 and 312 = 961 so there are 16 square numbers between 200 and 1000
999 of them.
11