152 = 225 and 312 = 961 so there are 16 square numbers between 200 and 1000
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There are 90 palindromic numbers between 100 and 1000
There are infinitely many numbers between them. Also there are infinitely many sequences that wil have two numbers between 1000 and 1.
Infinitely many.
02 + 02 = 0; all other numbers squared are greater than 0. Otherwise 25 (= 52) = 32 + 4262 + 82 = 100√100 = 10; √1000 ≈ 31.6, so largest square less than 1000 is 312Between 100 and 1000 there are 31-10 = 21 square numbers (22 if 100 itself is included since 100 = 102)
There are eight such numbers.