43 lines
794 B
Markdown
43 lines
794 B
Markdown
---
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id: 5900f4d11000cf542c50ffe4
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title: 'Problem 357: Prime generating integers'
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challengeType: 5
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forumTopicId: 302017
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dashedName: problem-357-prime-generating-integers
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---
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# --description--
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Consider the divisors of 30: 1, 2, 3, 5, 6, 10, 15, 30.
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It can be seen that for every divisor $d$ of 30, $d + \frac{30}{d}$ is prime.
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Find the sum of all positive integers $n$ not exceeding $100\\,000\\,000$ such that for every divisor $d$ of $n$, $d + \frac{n}{d}$ is prime.
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# --hints--
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`primeGeneratingIntegers()` should return `1739023853137`.
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```js
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assert.strictEqual(primeGeneratingIntegers(), 1739023853137);
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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 primeGeneratingIntegers() {
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return true;
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}
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primeGeneratingIntegers();
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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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