Project Euler – Problem 6 Solution

Problem 6 from Project Euler is a great exercise that combines mathematical thinking and programming skills. In this article, we'll find the difference between the sum of the squares of the first hundred natural numbers and the square of their sum. I'll explain the problem step-by-step, share PHP and JavaScript solutions, and use my own experience to make the process easy to understand. Let's get started!

Problem Definition

The problem illustrates the difference between the sum of the squares of the first ten natural numbers and the square of their sum:

• The sum of the squares of the first ten natural numbers: 12+22+⋯+102=385 1^2 + 2^2 + \dots + 10^2 = 385 12+22+⋯+102=385
• Square of the sum of the first ten natural numbers: (1+2+⋯+10)2=552=3025 (1 + 2 + \dots + 10)^2 = 55^2 = 3025 (1+2+⋯+10)2=552=3025
• The difference is: $3025-385=2640$

What is required from us is the same process the first hundred natural numbers To do: Find the difference between the sum of the squares of the first hundred natural numbers and the square of their sum.

*https://projecteuler.net/problem=6

PHP;

$a = 385; $b = 55; for ($i = 11; $i <= 100; $i++) { $a += $i**2; $b += $i; } echo ($b**2) - $a;

Javascript;

'use strict'; let a = 325; let b = 55; for (let i = 11; i <= 100; i++) { a += i**2; b += i; } console.log((b**2) - a);