2018-10-10 18:03:03 -04:00
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---
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id: 5900f4651000cf542c50ff77
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2021-02-06 04:42:36 +00:00
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title: 'Problem 248: Numbers for which Euler’s totient function equals 13!'
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2018-10-10 18:03:03 -04:00
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challengeType: 5
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2021-02-06 04:42:36 +00:00
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forumTopicId: 301895
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2021-01-13 03:31:00 +01:00
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dashedName: problem-248-numbers-for-which-eulers-totient-function-equals-13
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2018-10-10 18:03:03 -04:00
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---
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2020-12-16 00:37:30 -07:00
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# --description--
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2018-10-10 18:03:03 -04:00
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2021-02-06 04:42:36 +00:00
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The first number n for which φ(n)=13! is 6227180929.
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Find the 150,000th such number.
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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# --hints--
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2018-10-10 18:03:03 -04:00
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2021-02-06 04:42:36 +00:00
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`euler248()` should return 23507044290.
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2018-10-10 18:03:03 -04:00
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```js
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2020-12-16 00:37:30 -07:00
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assert.strictEqual(euler248(), 23507044290);
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2018-10-10 18:03:03 -04:00
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```
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2021-01-13 03:31:00 +01:00
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# --seed--
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## --seed-contents--
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```js
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function euler248() {
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return true;
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}
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euler248();
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```
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2020-12-16 00:37:30 -07:00
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# --solutions--
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2020-08-13 17:24:35 +02:00
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2021-01-13 03:31:00 +01:00
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```js
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// solution required
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```
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