a.) For which
![n>2](/media/m/b/8/a/b8a6d2bba9f17a4b18791eda0f2c0bf7.png)
is there a set of
![n](/media/m/a/e/5/ae594d7d1e46f4b979494cf8a815232b.png)
consecutive positive integers such that the largest number in the set is a divisor of the least common multiple of the remaining
![n-1](/media/m/e/5/3/e5321d0e9cb5571212aaf94c7ce333b2.png)
numbers?
b.) For which
![n>2](/media/m/b/8/a/b8a6d2bba9f17a4b18791eda0f2c0bf7.png)
is there exactly one set having this property?
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a.) For which $n>2$ is there a set of $n$ consecutive positive integers such that the largest number in the set is a divisor of the least common multiple of the remaining $n-1$ numbers?
b.) For which $n>2$ is there exactly one set having this property?