olymmath

IrMO 2013 Problem 8

  • Paper 2

Find the smallest positive integer NN for which the equation (x2−1)(y2−1)=N(x^2 -1)(y^2 -1)=N is satis ed by at least two pairs of integers (x,y)(x, y) with 1<x≤y1 < x \le y .

Dataset text AI-MO AoPS. Quoted with source.

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