MathDB
2012-2013 Winter OMO #17

Source:

January 16, 2013
Online Math Opennumber theoryrelatively prime

Problem Statement

Determine the number of ordered pairs of positive integers (x,y)(x,y) with y<x≤100y < x \le 100 such that x2−y2x^2-y^2 and x3−y3x^3 - y^3 are relatively prime. (Two numbers are relatively prime if they have no common factor other than 11.)
Ray Li
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