Exercise 4.3.1 (Find $n$ such that $\mu(n) + \mu(n+1) + \mu(n+2) = 3$)

Question

Find a positive integer $n$ such that $\mu(n) + \mu(n+1) + \mu(n+2) = 3$.

Richard Ganaye · Accepted Answer

\begin{proof} 
Since $33 = 3 \cdot 11, 34 = 2 \cdot 17, 35 = 5 \cdot 7$,
$$\mu(33) + \mu(34) + \mu(35) = 3.$$
So
$$n = 33$$
is a positive integer $n$ such that $\mu(n) + \mu(n+1) + \mu(n+2) = 3$.

Other examples are  $n = 85$ or $n = 93$.

\end{proof}

Exercise 4.3.1 (Find $n$ such that $\mu(n) + \mu(n+1) + \mu(n+2) = 3$)

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Exercise 4.3.1 (Find $n$ such that $\mu(n) + \mu(n+1) + \mu(n+2) = 3$)

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