Prove that there are infinitely many prime numbers. Use contradiction: assume there are finitely many prime numbers p1......pn , then show the number q=p1p2.....pn +1 is not divisible by any of them

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Prove that there are infinitely many prime numbers. Use contradiction: assume there are finitely many prime numbers p1......pn , then show the number q=p1p2.....pn +1 is not divisible by any of them

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