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The definition of a prime number is that it is an integer

Question: The definition of a prime number is that it is an integer greater than 1 whose only positive integer factors are itself and 1. Find two ways to write this definition so that all quantifiers are explicit. (It may be convenient to introduce a variable to stand for the number and perhaps a variable or some variables for its factors.)

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Mathematics: The definition of a prime number is that it is an integer

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