PROVE THAT 1^2013+2^2013+3^2013+........+2012^2013 IS DIVISIBLE BY 2013.
PROVE THAT 1^2013+2^2013+3^2013+........+2012^2013 IS DIVISIBLE BY 2013.
Piyush Jain , 12 Years ago
Grade 10
Algebra> number-systems...
1 Answers
mycroft holmes
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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