freeCodeCamp/problem-362-squarefree-factors.english.md at 81a0c0c8e07a6c3a4f99228a8af10967fa0c53d9

Valeriy 79d9012432 fix(curriculum): quotes in tests (#18828 )

* fix(curriculum): tests quotes

* fix(curriculum): fill seed-teardown

* fix(curriculum): fix tests and remove unneeded seed-teardown

2018-10-20 23:32:47 +05:30

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id, challengeType, title

id	challengeType	title
5900f4d61000cf542c50ffe9	5	Problem 362: Squarefree factors

Description

Consider the number 54. 54 can be factored in 7 distinct ways into one or more factors larger than 1: 54, 2×27, 3×18, 6×9, 3×3×6, 2×3×9 and 2×3×3×3. If we require that the factors are all squarefree only two ways remain: 3×3×6 and 2×3×3×3.

Let's call Fsf(n) the number of ways n can be factored into one or more squarefree factors larger than 1, so Fsf(54)=2.

Let S(n) be ∑Fsf(k) for k=2 to n.

S(100)=193.

Find S(10 000 000 000).

Instructions

Tests

tests:
  - text: <code>euler362()</code> should return 457895958010.
    testString: assert.strictEqual(euler362(), 457895958010, '<code>euler362()</code> should return 457895958010.');

Challenge Seed

function euler362() {
  // Good luck!
  return true;
}

euler362();

Solution

// solution required

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