data/problems/6.yml
---
:id: 6
:name: Sum square difference
:url: https://projecteuler.net/problem=6
:content: |+
The sum of the squares of the first ten natural numbers is,
1<sup>2</sup> + 2<sup>2</sup> + ... + 10<sup>2</sup> = 385
The square of the sum of the first ten natural numbers is,
(1 + 2 + ... + 10)<sup>2</sup> = 55<sup>2</sup> = 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.