There are three perfect squares between 0 and 50 that are even.
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The only even prime number is... 2 !
Just the one and it is 2
Only one number can be both even and prime, and that is the number 2.
The nearest number whose square ≤ 10000 is 100. Then the greatest odd number less that 100 is 99 so there are 50 odd numbers in the range 1- 99 inclusive whose squares are less than 10000.
There are 41 square numbers less than 1694 and an infinite number greater than 5929. There are 35 square numbers between 1694 and 5929, 36 if you count 5929 itself.