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MathNet 2026 — Part 06 Question 167

Math Olympiad Vault · MathNet 2026 — Part 06

Question 167

The *runcible* positive integers are defined recursively as follows:
* $1$ and $2$ are runcible
* If $a$ and $b$ are runcible (where $a$ and $b$ are not necessarily distinct) then $2a + 3b$ is runcible.
Is $2024$ runcible?