47 lines
920 B
Markdown
47 lines
920 B
Markdown
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---
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id: 5900f4381000cf542c50ff4b
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title: 'Problem 204: Generalised Hamming Numbers'
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challengeType: 5
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forumTopicId: 301845
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dashedName: problem-204-generalised-hamming-numbers
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---
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# --description--
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A Hamming number is a positive number which has no prime factor larger than 5.
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So the first few Hamming numbers are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15.
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There are 1105 Hamming numbers not exceeding 108.
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We will call a positive number a generalised Hamming number of type n, if it has no prime factor larger than n. Hence the Hamming numbers are the generalised Hamming numbers of type 5.
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How many generalised Hamming numbers of type 100 are there which don't exceed 109?
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# --hints--
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`euler204()` should return 2944730.
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```js
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assert.strictEqual(euler204(), 2944730);
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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 euler204() {
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return true;
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}
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euler204();
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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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