Euler 006 javascript Solution

Sum square difference

Problem

https://projecteuler.net/problem=6

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.

Answer: 25164150

Solution

solution006.js

module.exports = {
  answer : () => {
    var sum_square = 0;
    var square_sum = 0;
    var size = 100;

    for(i = (size + 1); --i ;)
    {
      sum_square += (i * i);
      square_sum += i;
    }

    return ((square_sum * square_sum) - sum_square);
  }
};

See Also

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