Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

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.

Grade:10

1 Answers

mycroft holmes
272 Points
8 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 

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free