---
id: 5900f4791000cf542c50ff8b
title: >-
  問題 268：計算至少有四個不同的質因數小於 100 的數
challengeType: 1
forumTopicId: 301917
dashedName: >-
  problem-268-counting-numbers-with-at-least-four-distinct-prime-factors-less-than-100
---

# --description--

可以驗證，有 23 個小於 1000 的正整數可以被至少四個不同的小於 100 的素數整除。

Find how many positive integers less than ${10}^{16}$ are divisible by at least four distinct primes less than 100.

# --hints--

`fourDistinctPrimeFactors()` should return `785478606870985`.

```js
assert.strictEqual(fourDistinctPrimeFactors(), 785478606870985);
```

# --seed--

## --seed-contents--

```js
function fourDistinctPrimeFactors() {

  return true;
}

fourDistinctPrimeFactors();
```

# --solutions--

```js
// solution required
```
