MathDB
Floor Function Skipping Integers

Source:

December 28, 2006
functionfloor functionparameterizationalgebra

Problem Statement

Find the least positive integer kk for which the equation ⌊2002n⌋=k\lfloor \frac{2002}{n}\rfloor = k has no integer solutions for n.n. (The notation ⌊x⌋\lfloor x \rfloor means the greatest integer less than or equal to x.x.)
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