MathDB
I 20

Source:

May 25, 2007
floor function

Problem Statement

Find all integer solutions of the equation ⌊x1!⌋+⌊x2!⌋+⋯+⌊x10!⌋=1001.\left\lfloor \frac{x}{1!}\right\rfloor+\left\lfloor \frac{x}{2!}\right\rfloor+\cdots+\left\lfloor \frac{x}{10!}\right\rfloor =1001.
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