Difference between revisions of "2012 UNCO Math Contest II Problems/Problem 5"

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== Solution ==
 
== Solution ==
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<math>0</math>
  
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Use Fermat's little theorem in mod 7
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-EVKV
  
 
== See Also ==
 
== See Also ==
{{UNC Math Contest box|n=II|year=2012|num-b=4|num-a=6}}
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{{UNCO Math Contest box|n=II|year=2012|num-b=4|num-a=6}}
  
 
[[Category:Introductory Number Theory Problems]]
 
[[Category:Introductory Number Theory Problems]]

Latest revision as of 03:33, 2 November 2024

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