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2012 UNCO Math Contest II Problems/Problem 5

Revision as of 04:31, 2 November 2024 by Evkv (talk | contribs) (→‎Solution)

Problem

What is the remainder when $12^{2011}+11^{2012}$ is divided by seven?


Solution

$0$ Use Fermat's little theorem in mod 7

See Also

2012 UNCO Math Contest II (Problems • Answer Key • Resources)
Preceded by
Problem 4 		Followed by
Problem 6
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10
All UNCO Math Contest Problems and Solutions
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