TH-TMO 2006 Problem 9

Compute the largest integer not exceeding $\frac{2549^3}{2547\cdot 2548} -\frac{2547^3}{2548\cdot 2549}$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.