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By definition, a Prime number only has two factors - 1 and itself. For example, 13 only has 2 factors - 1 and 13.

A square number (x2) has the factor x. For example, 9 has the factors 1, 9, and 3.

The only way that a square number could possibly be prime is if x=1.

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Q: Why are there no square prime numbers?
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