Please prove that there are infinitely many prime numbers

Suppose that the prime number is finite, suppose that there are only finite n prime numbers, and the largest prime number is p
Let Q be the product of all prime numbers plus 1, then q = (2 * 3 * 5 *...) *P) + 1 is not a prime
Then, Q can be divided into 2, 3 Integral division of numbers in, P
And Q is determined by these two, three Any division of P will result in 1, which contradicts it
So prime numbers are infinite

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