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Mymensingh higher secondary 2018 #4

Posted: Sun Feb 17, 2019 9:20 am
by samiul_samin
Let $S=1^1+2^2+3^3+4^4+...+2016^{2016}$.
What is the remainder when $S$ is divided by $2$?

Re: Mymensingh higher secondary 2018 #4

Posted: Sun Feb 17, 2019 10:06 am
by samiul_samin
Hint
$even^{even}=even$
$odd^{odd}=odd$
Answer
$\fbox 0$