Skip to content / Đến nội dung
ThichHocToan.com

MathNet 2016-part-07 — 182 problems (EN–VI) Question 115

Math Olympiad Vault · MathNet 2016-part-07 — 182 problems (EN–VI)

Question 115

Let $S$ be the set of all positive integers whose prime factorizations only contain powers of the primes $2$ and $2017$ (that is, $1$, powers of $2$, and powers of $2017$ are thus contained in $S$). Compute
$$
\sum_{s \in S} \frac{1}{s}.
$$