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PROVE THAT 1^2013+2^2013+3^2013+........+2012^2013 IS DIVISIBLE BY 2013.

Piyush Jain , 11 Years ago
Grade 10
anser 1 Answers
mycroft holmes

Last Activity: 11 Years ago

From Fermat''s Theorem we know that  is divisible by p where p is any prime.

 

Hence

 

is divisible by 2013.

Since 1006*2013 is divisible by 2013, so is 

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