olymmath

KöMaL 2021 K690

    Having a positive integer in mind, Peti formulated twenty-three statements about it. Two consecutive statements are false, but the rest of them are true: 1. It is divisible by 2. 2. It is divisible by 3. 3. It is divisible by 4. ⋮\vdots 23. It is divisible by 24. Peti was thinking about the smallest such number. What is his number?

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