Informal Exercise 40: Modify the above proof as follows. Suppose P is finite. Then P must have a maximum (Chapter 3). Let q be the maximum prime. Let n = 1 + q!, and derive a contradiction. Theorem 58: Let P be the set of prime numbers. Then P is infinite.

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A: Let us prove the above result.

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A:

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A: The given question has two parts. The solution is explained below.

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A:

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A:

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A:

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A:

Q: If A ∩ B = ∅ Find P(A) ∩ P(B)?] With all the steps

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A: Solution:

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A: a. Given that d is an integer such that d|n+5 and d|n2+1.

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A: PROOF :

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.