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By definition, every integer greater than one is either a prime or a composite number.

Indeed, a composite number is defined to be a positive integer which has a positive divisor other than one or itself. And a prime number is defined to be a integer greater than one which has the contrary property (exactly two divisors - one and itself). So any number greater than one is either composite or prime.

Among the natural numbers, it remains the number 1, which is neither composite nor prime. 0 is composite, since has all positive integer as divisors.

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Q: What number is not a composite or prime?

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