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What is the remainder when 2013^13 is divided by 13?

 
 Apr 30, 2021

Best Answer 

 #1
avatar+1267 
+2

2013 in mod 13 = 11

11 

121 = 4

44 = 5

55 = 3

33 = 7

77 = 12

132 = 2

22 = 9

99 = 8

88 = 10

110 = 6

66 = 1

 

If you continue this cycle of 12, 13 times, our answer should be 11

 

=^._.^=

 
 Apr 30, 2021
 #1
avatar+1267 
+2
Best Answer

2013 in mod 13 = 11

11 

121 = 4

44 = 5

55 = 3

33 = 7

77 = 12

132 = 2

22 = 9

99 = 8

88 = 10

110 = 6

66 = 1

 

If you continue this cycle of 12, 13 times, our answer should be 11

 

=^._.^=

 
catmg Apr 30, 2021
 #2
avatar+19 
+3

Can confirm. also, the number is 685528825939742403772959575428195371930634×13 + 11, so the remainder is 11 :D :P

 
HighSchoolDx  Apr 30, 2021
 #3
avatar+1267 
+1

yayy

 

=^._.^=

 
catmg  Apr 30, 2021

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