## Sum square difference

### Problem 6

Published on Friday, 14th December 2001, 06:00 pm; Solved by 288782; Difficulty rating: 5%The sum of the squares of the first ten natural numbers is,

1

^{2}+ 2^{2}+ ... + 10^{2}= 385The square of the sum of the first ten natural numbers is,

(1 + 2 + ... + 10)

^{2}= 55^{2}= 3025Hence 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.