2012 UNCO Math Contest II Problems/Problem 5

Problem

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


Solution

$0$

Use Fermat's little theorem in mod 7

-EVKV

See Also

2012 UNCO Math Contest II (ProblemsAnswer KeyResources)
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