Find all solutions of <f>(n) = 16 and (n) = 24.[Hint: If n = p1 p2 pr satisfies (n) = k

Chapter 7, Problem 18

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Find all solutions of (n) = 16 and (n) = 24.[Hint: If n = p1 p2 pr satisfies (n) = k, then n = [k/IT(p ; - l)]ITp;. Thus theintegers d; = p; - 1 can be determined by the conditions (1) di I k, (2) di + 1 is prime,and (3) k/ ITdi contains no prime factor not in ITp; .]

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