733 B
733 B
id | title | challengeType | forumTopicId | dashedName |
---|---|---|---|---|
5900f4c31000cf542c50ffd5 | Problem 342: The totient of a square is a cube | 5 | 302001 | 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 < n < 1010 such that φ(n2) is a cube.
1 φ denotes Euler's totient function.
--hints--
euler342()
should return 5943040885644.
assert.strictEqual(euler342(), 5943040885644);
--seed--
--seed-contents--
function euler342() {
return true;
}
euler342();
--solutions--
// solution required