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Q: Are there prime numbers that are square numbers?

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Prime numbers cannot be square numbers.

They're not. Prime numbers and square numbers are different things.

No.

There are no prime numbers that are square numbers

An oxymoron. Prime numbers can't be square. Square numbers can't be prime. You can square a prime number: 3 x 3 - 32 = 9

no squaring numbers are prime as they all can be divided by their square root

A square number, by definition, cannot be a prime so the answer is there are no such numbers.A square number, by definition, cannot be a prime so the answer is there are no such numbers.A square number, by definition, cannot be a prime so the answer is there are no such numbers.A square number, by definition, cannot be a prime so the answer is there are no such numbers.

Because square numbers have more than two factors whereas prime numbers have only two factors

Square numbers can't be prime. They have too many factors.

Absolutely not. A square number has an integer square root, so by definition it has at least one factor. Prime numbers have no factors

No. By definition, the square root would be a factor so the number would not be a prime.

A [perfect] square number, by definition, has a factor which is its square root. As a result it CANNOT be a prime!

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