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MathNet 2007-part-03 — 185 problems (EN–VI) Question 153

Math Olympiad Vault · MathNet 2007-part-03 — 185 problems (EN–VI)

Question 153

Find all positive integers $n$ such that
$$
\sum_{k=1}^{n} \phi(k)=\frac{3 n^{2}+5}{8}
$$