MathCastle
Proof Writing & Problem SolvingChallenge

Proof Writing & Problem Solving · Challenge problem

For how many integers nn with 1≤n≤1001 \le n \le 100 is ⌊n2⌋+⌊n3⌋+⌊n6⌋=n−1\left\lfloor \dfrac{n}{2} \right\rfloor + \left\lfloor \dfrac{n}{3} \right\rfloor + \left\lfloor \dfrac{n}{6} \right\rfloor = n - 1?

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