---
id: 5900f4f11000cf542c510002
title: 'Problem 388: Distinct Lines'
challengeType: 5
forumTopicId: 302052
dashedName: problem-388-distinct-lines
---

# --description--

Consider all lattice points (a,b,c) with 0 ≤ a,b,c ≤ N.

From the origin O(0,0,0) all lines are drawn to the other lattice points. Let D(N) be the number of distinct such lines.

You are given that D(1 000 000) = 831909254469114121.

Find D(1010). Give as your answer the first nine digits followed by the last nine digits.

# --hints--

`euler388()` should return 831907372805130000.

```js
assert.strictEqual(euler388(), 831907372805130000);
```

# --seed--

## --seed-contents--

```js
function euler388() {

  return true;
}

euler388();
```

# --solutions--

```js
// solution required
```