a. Use proof by exhaustion to prove that for all prime numbers p, 3 < p <

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a. Use proof by exhaustion to prove that for all prime numbers p, 3 < p < 20, p2 is one greater than a multiple of 24.

b. Find a counterexample that disproves the statement ‘All numbers which are one greater than a multiple of 24 are the squares of prime numbers.’

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