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For a certain positive integer m, the equation $\lfloor \frac{n}{m} \rfloor = 1$ has 137 solutions in integers n. Find m.

 Oct 30, 2021
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m==137 

 

All values of n from 137 to 273 give: floor [n / 137]==1

 

[273 - 137 + 1]==137 solutions.

 Oct 31, 2021

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