44 lines
882 B
Markdown
44 lines
882 B
Markdown
---
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id: 5900f4791000cf542c50ff8b
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title: >-
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Problem 268: Counting numbers with at least four distinct prime factors less
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than 100
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challengeType: 5
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forumTopicId: 301917
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dashedName: >-
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problem-268-counting-numbers-with-at-least-four-distinct-prime-factors-less-than-100
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---
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# --description--
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It can be verified that there are 23 positive integers less than 1000 that are divisible by at least four distinct primes less than 100.
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Find how many positive integers less than ${10}^{16}$ are divisible by at least four distinct primes less than 100.
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# --hints--
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`fourDistinctPrimeFactors()` should return `785478606870985`.
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```js
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assert.strictEqual(fourDistinctPrimeFactors(), 785478606870985);
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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 fourDistinctPrimeFactors() {
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return true;
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}
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fourDistinctPrimeFactors();
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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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