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Integers between m^2 and m^2+m

Source: OME (Spain MO) Day 2 Problem 4

August 15, 2016
number theorySpain

Problem Statement

Let mm be a positive integer and aa and bb be distinct positive integers strictly greater than m2m^2 and strictly less than m2+mm^2+m. Find all integers dd such that m2<d<m2+mm^2 < d < m^2+m and dd divides abab.
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