Find the remainder of $\dfrac{2^{2014}}{7}$
I am new to the modular arithmetic, Any suggestions to solve this question?
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As $2^3\equiv1\pmod7$ and $2014\equiv1\pmod3$
$\implies2^{2014}\equiv2^1\pmod7$
lab bhattacharjee
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What is the remainder the OP asked for ?. – Felix Marin Mar 13 '17 at 21:31
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@Felix, I think so as OP has accepted the answer – lab bhattacharjee Mar 14 '17 at 01:46
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$= 2$. Thanks. $\left(\bullet\quad\bullet \atop {\mid \atop \smile}\right)$ – Felix Marin Mar 14 '17 at 02:01