ChallangeProblem. Characterize all the the positive integers such that . ( is Euler's Phi-Function.) Moderator edit: Approved challenge question.
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Originally Posted by melese ChallangeProblem. Characterize all the the positive integers such that . ( is Euler's Phi-Function.) Moderator edit: Approved challenge question. Spoiler: If primes, , and since , we get that , so the factors on the RHS are inverse to each other, and this means . But the only prime that divides is , unless and , in which case only the prime can possibly be so that , so n has to be of the form . Tonio
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