---
id: 5900f4111000cf542c50ff23
title: >-
  Problem 164: Numbers for which no three consecutive digits have a sum greater than a given value
challengeType: 5
forumTopicId: 301798
dashedName: >-
  problem-164-numbers-for-which-no-three-consecutive-digits-have-a-sum-greater-than-a-given-value
---

# --description--

How many 20 digit numbers n (without any leading zero) exist such that no three consecutive digits of n have a sum greater than 9?

# --hints--

`euler164()` should return 378158756814587.

```js
assert.strictEqual(euler164(), 378158756814587);
```

# --seed--

## --seed-contents--

```js
function euler164() {

  return true;
}

euler164();
```

# --solutions--

```js
// solution required
```