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MathNet 2022-part-04 — 197 problems (EN–VI) Question 150

Math Olympiad Vault · MathNet 2022-part-04 — 197 problems (EN–VI)

Question 150

Find an example of a sequence of natural numbers $1 \le a_1 \lt a_2 \lt \dots \lt a_n \lt a_{n+1} \lt \dots$ with the property that every positive integer $m$ can be uniquely written as $m = a_i - a_j$, with $i \gt j \ge 1$.