three possible answers to this one
11
44
99
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25 is the smallest two didgit squared number
64
' 100 ' is the square of 10.
Hint, but not your answer: You know your answer has to be between 11 and 99. Furthermore, it has to be a square. One, two, and three when squared are still single digit numbers. Four squared is 16, which is not squaring the ones digit. Keep going...
The only other single-digit number higher than 5 which is a prime number is 7 - 9 is equal to 3 squared, and is thus not a prime number.