# There's Cubic Residues As Well?

$x^3\equiv 1 \pmod{2016}$

How many positive integer solutions $$x<2016$$ does the above congruency have?

Bonus Problem: Looking ahead, what about $$x^3\equiv 1 \pmod{2017}$$ or even $$x^3\equiv 1 \pmod{2017^{2017}}$$?

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