2018-09-30 22:01:58 +00:00
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---
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id: 5900f42f1000cf542c50ff41
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title: 'Problem 193: Squarefree Numbers'
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2020-11-27 18:02:05 +00:00
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challengeType: 5
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2019-08-05 16:17:33 +00:00
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forumTopicId: 301831
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2021-01-13 02:31:00 +00:00
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dashedName: problem-193-squarefree-numbers
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2018-09-30 22:01:58 +00:00
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---
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2020-11-27 18:02:05 +00:00
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# --description--
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2021-07-15 13:52:14 +00:00
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A positive integer $n$ is called squarefree, if no square of a prime divides $n$, thus 1, 2, 3, 5, 6, 7, 10, 11 are squarefree, but not 4, 8, 9, 12.
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2018-09-30 22:01:58 +00:00
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2021-07-15 13:52:14 +00:00
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How many squarefree numbers are there below $2^{50}$?
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2018-09-30 22:01:58 +00:00
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2020-11-27 18:02:05 +00:00
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# --hints--
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2018-09-30 22:01:58 +00:00
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2021-07-15 13:52:14 +00:00
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`squarefreeNumbers()` should return `684465067343069`.
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2018-09-30 22:01:58 +00:00
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2020-11-27 18:02:05 +00:00
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```js
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2021-07-15 13:52:14 +00:00
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assert.strictEqual(squarefreeNumbers(), 684465067343069);
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2018-09-30 22:01:58 +00:00
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```
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2020-11-27 18:02:05 +00:00
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# --seed--
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2018-09-30 22:01:58 +00:00
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2020-11-27 18:02:05 +00:00
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## --seed-contents--
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2018-09-30 22:01:58 +00:00
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```js
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2021-07-15 13:52:14 +00:00
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function squarefreeNumbers() {
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2020-09-15 16:57:40 +00:00
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2018-09-30 22:01:58 +00:00
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return true;
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}
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2021-07-15 13:52:14 +00:00
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squarefreeNumbers();
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2018-09-30 22:01:58 +00:00
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```
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2020-11-27 18:02:05 +00:00
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# --solutions--
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2018-09-30 22:01:58 +00:00
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```js
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// solution required
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```
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