Well, honey, let me break it down for you. The sum of two prime numbers can definitely be composite. Take 2 and 3 for example - both prime, but when you add them together, you get 5, which is still prime. But toss in 2 and 4, both prime, and you get 6, which is as composite as it gets. So, yes, the sum of two prime numbers can absolutely be composite.
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