No. That isn't possible: A Prime number, by definition, has no smaller factors. A square number does have a smaller factor - the number that is squared.
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Absolutely not. A square number has an integer square root, so by definition it has at least one factor. Prime numbers have no factors
Every square number (except 1) is composite. Prime numbers only have two factors, one and the numbers themselves. Since square numbers also have at least the square roots as factors, they have to be composite.
There are no other prime numbers that are even but 2.
The only even prime number is 2.
They are prime numbers when you reverse the first one, the second one is prime also.