(a) For any integer k > 0, establish that the arithmetic progression
where gcd(a, b)= 1, contains k consecutive terms that are composite.
[Hint: Put n=(a + b)(a + 2b)⋯ (a + kb) and consider the k terms a + (n + 1)b, a + (n + 2)b,…, a + (n + k)b.]
(b) Find five consecutive composite terms in the arithmetic progression
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