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MathNet 2023-part-04 — 191 problems (EN–VI) Question 180

Math Olympiad Vault · MathNet 2023-part-04 — 191 problems (EN–VI)

Question 180

Determine all integers $n \ge 2$, having at least four positive divisors, with the property that for any two distinct divisors $d_1$ and $d_2$ of $n$, such that $1 \lt d_1 \lt d_2 \lt n$, the number $d_2 - d_1$ is also a divisor of $n$.

Lucian Petrescu