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What is the smallest positive integer n such that 3n1356(mod22)?

 Jul 13, 2020
 #1
avatar+773 
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 only try to post a few or a single questions at a time, please

 Jul 13, 2020
 #3
avatar+288 
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yeah forumofweb2.0cal do your own homework

madyl  Jul 13, 2020
 #4
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I think this is Alcumus....

CalTheGreat  Jul 13, 2020
 #2
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I think it is 12.

 Jul 13, 2020
 #5
avatar+26396 
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What is the smallest positive integer n such that  3n1356(mod22)

 

3n1356(mod22)3n13566122(mod22)3n14(mod22)n143(mod22)n1431(mod22)31(mod22)=3ϕ(22)1(mod22)|ϕ(22)=22(112)(1111)=10=3101(mod22)=39(mod22)=19683(mod22)=1968389422(mod22)=15(mod22)31(mod22)=15(mod22)n1415(mod22)n210(mod22)n210922(mod22)n12(mod22)

 

The smallest positive integer n is 12

 

laugh

 Jul 14, 2020
edited by heureka  Jul 14, 2020

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