Prove or disprove each of the following statements. (a) There exists a prime number x such...

Prove or disprove each of the following statements.

(a) There exists a prime number x such that x + 16 and x + 32 are also prime numbers.

(b) ∀a, b, c, m ∈ Z +, if a ≡ b (mod m), then c a ≡ c b (mod m).

(d) There exist 100 consecutive composite integers.

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Expert Solution

Colby Messinger answered 1 year ago

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