As we all know, a prime number consists of two factors only, 1 and itself, and a composite number consists of more than two factors. Therefore, it is logical to assume that the product of two distinct prime numbers is a composite number. So, if we multiplied the first 100 prime numbers together, the product would be a composite number. However, if we add the first n prime numbers together, sometimes we will get a prime number, but other times we will get a composite number.

If we were to add the first 100 prime numbers, would the sum also be composite?

Yes
No

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