Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

2021 GMC 10B Problems/Problem 19

Revision as of 11:19, 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...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

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

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=2021_GMC_10B_Problems/Problem_19&oldid=172370"