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2021 GMC 10B Problems/Problem 19

Revision as of 12:19, 6 March 2022 by Pineconee (talk | contribs) (Created page with "==Problem== Find the remainder when <math>3^{18}-1</math> is divided by <math>811</math>. <math>\textbf{(A)} ~111 \qquad\textbf{(B)} ~142 \qquad\textbf{(C)} ~157 \qquad\text...")
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Problem

Find the remainder when $3^{18}-1$ is divided by $811$.

$\textbf{(A)} ~111 \qquad\textbf{(B)} ~142 \qquad\textbf{(C)} ~157 \qquad\textbf{(D)} ~221\qquad\textbf{(E)} ~229$

Solution

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