72 lines
1.2 KiB
Markdown
72 lines
1.2 KiB
Markdown
---
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id: 5900f4c81000cf542c50ffd9
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challengeType: 5
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title: 'Problem 347: Largest integer divisible by two primes'
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forumTopicId: 302006
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---
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## Description
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<section id='description'>
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The largest integer ≤ 100 that is only divisible by both the primes 2 and 3 is 96, as 96=32*3=25*3.
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For two distinct primes p and q let M(p,q,N) be the largest positive integer ≤N only divisible
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by both p and q and M(p,q,N)=0 if such a positive integer does not exist.
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E.g. M(2,3,100)=96.
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M(3,5,100)=75 and not 90 because 90 is divisible by 2 ,3 and 5.
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Also M(2,73,100)=0 because there does not exist a positive integer ≤ 100 that is divisible by both 2 and 73.
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Let S(N) be the sum of all distinct M(p,q,N).
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S(100)=2262.
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Find S(10 000 000).
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</section>
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## Instructions
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<section id='instructions'>
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</section>
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## Tests
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<section id='tests'>
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```yml
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tests:
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- text: <code>euler347()</code> should return 11109800204052.
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testString: assert.strictEqual(euler347(), 11109800204052);
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```
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</section>
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## Challenge Seed
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<section id='challengeSeed'>
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<div id='js-seed'>
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```js
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function euler347() {
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return true;
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}
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euler347();
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```
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</div>
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</section>
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## Solution
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<section id='solution'>
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```js
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// solution required
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```
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</section>
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