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Mexico Regional Olympiad 2012.

Source:

August 1, 2013
modular arithmeticnumber theory unsolvednumber theory

Problem Statement

Let m,nm, n integers such that: (nāˆ’1)3+n3+(n+1)3=m3(n-1)^3+n^3+(n+1)^3=m^3 Prove that 4 divides nn
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