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1. Show that if pi,. .., p, are the first n prime numbers then P1Pa + 1 is divisible by a prime numbers which is

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1. Show that if pi,. .., p, are the first n prime numbers then P1Pa + 1 is divisible by a prime numbers which is different from p1, . ..; Pn. Deduce that there are infinitely many prime numbers. 8

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