sum_square_difference

Sum square difference

The sum of the squares of the first ten natural numbers is, $$1^2+2^2+...+10^2=385$$

The square of the sum of the first ten natural numbers is, $$(1+2+...+10)^2=55^2=3025$$

Hence the difference between the sum of the squares of the first ten natural numbers and the square of the sum is $3025-385=2640$.

Find the difference between the sum of the squares of the first one hundred natural numbers and the square of the sum.