CMO 2018 Problem 2


Define a function \(f(n)\) from the positive integers to the positive integers such that \(f((f(n))\) is the number of positive integer divisors of \(n\). Prove that if \(p\) is a prime, then \(f(p)\) is prime.

Write the problem neatly in mathematical terms. The first step is that only.


 


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