Prove there are infinitely many primes by showing that Qn = n! + 1 must have a prime factor greater than n whenever n is a positive integer.

SolutionStep 1In this problem we have to prove that there are infinitely many primes by showingmust have a prime factor greater than n where n is positive integers.Step 2Let us assume that .Now, consider that there are many finite primes number then have as many bigger factor of primes than .Hence, it doesn't follow the fundamental...