In the proof of Theorem 4.7 (Euclid’s proof that there are infinitely many primes), the argument...

In the proof of Theorem 4.7 (Euclid’s proof that there are infinitely many primes), the argument uses calculation of a number N. In each case below, suppose for the sake of demonstrating a contradiction, that the given list is the entire list of prime numbers. Calculate N and then factor N into primes to see that you do get a contradiction.

(a) 2, 3, 5, 7, 11

(b) 2, 3, 5, 7, 11, 13, 17, 19

(c) 2, 3, 5, 7, 11, 13, 17, 19, 23, 29

Expert Solution

Colby Messinger answered 2 years ago

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