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There are 2*13 = 26 natural numbers between them.
152 = 225 and 312 = 961 so there are 16 square numbers between 200 and 1000
Infinitely many, since every number in that range is a square of some other number. There are 7 perfect square numbers.
There are (not counting 1) three square numbers between 1 and 20.
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