---
id: 5900f4791000cf542c50ff8b
title: >-
  问题 268：计算至少有四个不同的质因数小于 100 的数
challengeType: 1
forumTopicId: 301917
dashedName: >-
  problem-268-counting-numbers-with-at-least-four-distinct-prime-factors-less-than-100
---

# --description--

可以验证，有 23 个小于 1000 的正整数可以被至少四个不同的小于 100 的素数整除。

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
```
