The question is internally self contradictory.
There is no Prime number that is not prime.
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Neither. The concept of prime and composite applies only to positive whole numbers [greater than 1].
1 only has one factor, which is 1. Therefor it is neither prime or composite.
One.
49 is a composite number. A prime number has only 2 factors which are 1 and itself. Composite numbers are everything else except 1 and 0. 1 and 0 are neither prime, nor composite.
0 is neither a prime or a composite number. It can not be divided by any number, so it would be difficult to classify it as prime or composite. 0 and 1 are the only numbers that are not prime and are not composite.