Question: Discrete math Question 1: Prove that for all n > 2 there exists a prime number p between n and n!. (Hint: Consider n! -

Discrete math

Question 1: Prove that for all n > 2 there exists a prime number p between n and n!. (Hint: Consider n! - 1) Question 2: Prove that for any a, b E N (a * b) there exists infinitely many n E (N) such that god(a + n, b + n) = 1

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