freeCodeCamp/curriculum/challenges/english/08-coding-interview-prep/project-euler/problem-342-the-totient-of-a-square-is-a-cube.english.md

id, challengeType, title

id	challengeType	title
5900f4c31000cf542c50ffd5	5	Problem 342: The totient of a square is a cube

Description

Consider the number 50. 502 = 2500 = 22 × 54, so φ(2500) = 2 × 4 × 53 = 8 × 53 = 23 × 53. 1 So 2500 is a square and φ(2500) is a cube.

Find the sum of all numbers n, 1 &lt n < 1010 such that φ(n2) is a cube.

1 φ denotes Euler's totient function.

Instructions

Tests

tests:
  - text: <code>euler342()</code> should return 5943040885644.
    testString: assert.strictEqual(euler342(), 5943040885644, '<code>euler342()</code> should return 5943040885644.');

Challenge Seed

function euler342() {
  // Good luck!
  return true;
}

euler342();

Solution

// solution required