# Project Euler Problem 6: Sum Square Difference¶

The source code for this problem can be found here.

## Problem Statement¶

The sum of the squares of the first ten natural numbers is,
$$1^2 + 2^2 + \dots + 10^2 = 385$$
The square of the sum of the first ten natural numbers is,
$$(1 + 2 + \dots + 10)^2 = 55^2 = 3025$$

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.

## Solution Discussion¶

Simply iteratively build and sum the components of the two sequences:

• sum of the squares
• square of the sums

for the natural numbers $$1,2,\dots,100$$

Return the absolute value of the difference of these two sums.

## Solution Implementation¶

from math import fabs

def solve():
""" Compute the answer to Project Euler's problem #6 """
upper_bound = 100
sum_of_squares = 0
square_of_sums = 0
for i in range(1, upper_bound + 1):
sum_of_squares += i * i
square_of_sums += i
square_of_sums = square_of_sums * square_of_sums


solutions.problem6.solve()

Compute the answer to Project Euler’s problem #6