MathDB

2

Part of 2012 Regional Olympiad of Mexico Center Zone

Problems(1)

Mexico Regional Olympiad 2012.

Source:

8/1/2013
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
modular arithmeticnumber theory unsolvednumber theory