James says that if a prime number is doubled, then that new number is still a prime number.

State whether you agree or disagree, and explain why you think so (e.g. you may refer to a definition). If you agree, give an example that proves James's conjecture. If you disagree, give a counterexample that disproves James's conjecture.

in three sentences

1 answer

I disagree with James's statement. A prime number is defined as a natural number greater than 1 that has no positive divisors other than 1 and itself. When you double a prime number, such as 3 (which becomes 6), the result is an even number greater than 2, and thus it cannot be prime because it has divisors other than 1 and itself.