03
   
         
 
               the ring Z_{n}
 
               when is Z_{n} a field ?  


         

               Wilson's theorem      

                  example
                  the converse


          

               Fermat's little Theorem    


               Euler's totient function 
 


                  unique prime factorization
                  properties of the totient function
                  computation of the totient function
                                                      
                  
               Euler's generalization of Fermat's Little Theorem 

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