Track / Stage 5 / 79 of 400 #679 of 2000

4. Let $n$ be any given positive integer. Find the value of $\mu(n) \mu(n+1) \mu(n+2) \mu(n+3)$.

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Official solution

4. 0 , because $n, n+1, n+2, n+3$ must include one number that is divisible by 4.

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.