Mathematics, 14.09.2019 11:30 Weser17

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) va, b, c, m € z+, if a = b (mod m), then c = c (mod m). (c) for any positive odd integer n, 3]n or nº = 1 (mod 12). (d) there exist 100 consecutive composite integers.

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