53 lines
892 B
Markdown
53 lines
892 B
Markdown
---
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id: 5900f4d61000cf542c50ffe9
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title: 'Problem 362: Squarefree factors'
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challengeType: 5
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forumTopicId: 302023
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dashedName: problem-362-squarefree-factors
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---
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# --description--
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Consider the number 54.
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54 can be factored in 7 distinct ways into one or more factors larger than 1:
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54, 2×27, 3×18, 6×9, 3×3×6, 2×3×9 and 2×3×3×3.
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If we require that the factors are all squarefree only two ways remain: 3×3×6 and 2×3×3×3.
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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.
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Let S(n) be ∑Fsf(k) for k=2 to n.
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S(100)=193.
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Find S(10 000 000 000).
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# --hints--
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`euler362()` should return 457895958010.
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```js
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assert.strictEqual(euler362(), 457895958010);
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```
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# --seed--
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## --seed-contents--
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```js
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function euler362() {
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return true;
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}
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euler362();
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```
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# --solutions--
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```js
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// solution required
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```
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