freeCodeCamp/curriculum/challenges/en/08-coding-interview-prep/project-euler/problem-273-sum-of-squares.en.md

id, challengeType, title

id	challengeType	title
5900f47e1000cf542c50ff90	5	Problem 273: Sum of Squares

Description

Consider equations of the form: a2 + b2 = N, 0 ≤ a ≤ b, a, b and N integer.

For N=65 there are two solutions: a=1, b=8 and a=4, b=7. We call S(N) the sum of the values of a of all solutions of a2 + b2 = N, 0 ≤ a ≤ b, a, b and N integer. Thus S(65) = 1 + 4 = 5. Find ∑S(N), for all squarefree N only divisible by primes of the form 4k+1 with 4k+1 < 150.

Instructions

Tests

- text: <code>euler273()</code> should return 2032447591196869000.
  testString: 'assert.strictEqual(euler273(), 2032447591196869000, ''<code>euler273()</code> should return 2032447591196869000.'');'

Challenge Seed

function euler273() {
  // Good luck!
  return true;
}

euler273();

Solution

// solution required