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n^3-1 is divisible by 10^6 n−1

Source: 2011 Argentina OMA Finals L3 p5

January 15, 2023
number theorydividesdivisible

Problem Statement

Find all integers nn such that 1<n<1061<n<10^6 and n3−1n^3-1 is divisible by 106n−110^6 n-1.
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