## Overview

### Question

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.

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25164150