41 lines
753 B
Markdown
41 lines
753 B
Markdown
---
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id: 5900f3fe1000cf542c50ff11
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title: 'Problem 146: Investigating a Prime Pattern'
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challengeType: 5
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forumTopicId: 301775
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dashedName: problem-146-investigating-a-prime-pattern
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---
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# --description--
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The smallest positive integer $n$ for which the numbers $n^2 + 1$, $n^2 + 3$, $n^2 + 7$, $n^2 + 9$, $n^2 + 13$, and $n^2 + 27$ are consecutive primes is 10. The sum of all such integers $n$ below one-million is 1242490.
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What is the sum of all such integers $n$ below 150 million?
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# --hints--
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`primePattern()` should return `676333270`.
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```js
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assert.strictEqual(primePattern(), 676333270);
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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 primePattern() {
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return true;
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}
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primePattern();
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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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