Exercise refers to the Euler phi function, denoted , which

Chapter 7, Problem 53E

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Exercise refers to the Euler phi function, denoted ?, which is defined as follows: For each integer n ? 1, ?(n) is the number of positive integers less than or equal to n that have no common factors with n except ±1. For example, ?(10) = 4 because there are four positive integers less than or equal to 10 that have no common factors with 10 except ±1; namely, 1, 3, 7, and 9.ExerciseProve that there are infinitely many integers n for which ?(n) is a perfect square.

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