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MathNet 2026 — Part 03 Question 95

Math Olympiad Vault · MathNet 2026 — Part 03

Question 95

Consider the positive integer
$$
n=2^{r}-16^{s}
$$
where $r$ y $s$ They are also positive integers. Find the conditions they must meet $r$ y $s$ so that the rest of the division of $n$ by 7 Let 5. Find the smallest number that meets this condition.