Consecutive Square-Free Positive Integers
There are consecutive positive integers, each of which is square-free.
What is the maximum possible value of ?
Details and Assumptions:
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A positive integer is square-free if there is no positive integer such that .
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After solving this, you may want to solve this .
The answer is 3.
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1 solution
If 4 is a divisor of a number, then it is not square free.
Hence, the maximum of k is smaller than 4.
A example 5 , 6 , 7 shows the maximum is 3.