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ATestforPrimalityisthefollowing: Given an integer n > 1, to test whether n is prime check to see if...

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Programming

  1. ATestforPrimalityisthefollowing:

    Given an integer n > 1, to test whether n is prime check tosee if it is divisible by a prime number less than or equal to it’ssquare root. If it is not divisible by an of these numbers then itis prime.

We will show that this is a valid test.

  1. prove

∀n, r, s ∈ N+, r s ≤ n → (r ≤ √n ∨ s ≤ √n)

b) Prove ∀ n ∈ N+ , n is not prime →∃p ∈ N ,(p prime ∧ (p≤√n) ∧p∣n )

(c) State the contrapositive of the statement of part(b).

Answer & Explanation Solved by verified expert
4.3 Ratings (558 Votes)
1 This statement in plain English says that for everypositive integer nrs if the product of r and s is less thanequal to n then this means either    See Answer
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