MathNet 2023-part-06 — 191 problems (EN–VI) Question 182

Positive integers $a_1, a_2, ..., a_{101}$ are such that $a_i + 1$ are divisible by $a_{i+1}$ for $1 \le i \le 101$ (we assume that $a_{102} = a_1$). What is the largest value that the maximum of these numbers can attain?