MathDB
Nice Floors

Source:

December 9, 2010
floor functionnumber theory unsolvednumber theory

Problem Statement

Solve the equation for positive integers m,nm, n: ⌊m2n⌋+⌊n2m⌋=⌊mn+nm⌋+mn\left \lfloor \frac{m^2}n \right \rfloor + \left \lfloor \frac{n^2}m \right \rfloor = \left \lfloor \frac mn + \frac nm \right \rfloor +mn
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