Difference between revisions of "2023 APMO Problems/Problem 2"

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Revision as of 21:51, 19 August 2023

Problem

Find all integers $n$ satisfying $n \ge 2$ and $\frac{\sigma(n)}{p(n)-1}, in which$\sigma(n)$denotes the sum of all positive divisors of$n$, and$p(n)$denotes the largest prime divisor of$n$.

Solution

https://youtu.be/xkIm0k1FE-8