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MathNet 2014 Question 17

Math Olympiad Vault · MathNet 2014

Question 17

A positive proper divisor is a positive divisor of a number, excluding itself. For positive integers $n \geq 2$, let $f(n)$ denote the number that is one more than the largest proper divisor of $n$. Determine all positive integers $n$ such that $f(f(n))=2$.