Question 130
For integers $2 \leq n \leq 100$, let $f(n)$ denote the unique integer $1 \leq a \lt n$ such that $101 a \equiv 1 \pmod{n}$. Estimate
$$
\sum_{n=2}^{100} \frac{f(n)}{n}
$$
$$
\sum_{n=2}^{100} \frac{f(n)}{n}
$$
MathNet 2024-part-06 — 165 problems (EN–VI) Question 130
Math Olympiad Vault · MathNet 2024-part-06 — 165 problems (EN–VI)