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Since we assume there are finitely many prime numbers, we can multiply them to get a new prime number that isn't in our original list. So we get a contradiction, and the proof is done.
Since we assume there are finitely many prime numbers, we can add them up to get a new prime number that isn't in our original list. So we get a contradiction, and the proof is done.
Since we assume there are finitely many prime numbers, we can list them in order. This means we have a maximum prime number
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