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Question Number 7149 by Master Moon last updated on 13/Aug/16

Find last digit P   P=(2017^k +2016)(2016^m +2015)(2015^n +2014)  where k,m,n∈N            Help me!!!

$$\mathrm{Find}\:\mathrm{last}\:\mathrm{digit}\:\mathrm{P} \\ $$$$\:\mathrm{P}=\left(\mathrm{2017}^{\boldsymbol{\mathrm{k}}} +\mathrm{2016}\right)\left(\mathrm{2016}^{\boldsymbol{\mathrm{m}}} +\mathrm{2015}\right)\left(\mathrm{2015}^{\boldsymbol{\mathrm{n}}} +\mathrm{2014}\right) \\ $$$$\mathrm{where}\:\boldsymbol{\mathrm{k}},\boldsymbol{\mathrm{m}},\boldsymbol{\mathrm{n}}\in{N} \\ $$$$\:\:\:\: \\ $$$$\:\:\:\:{Help}\:{me}!!! \\ $$

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