---
id: 5900f4551000cf542c50ff68
title: 'Problem 233: Lattice points on a circle'
challengeType: 5
forumTopicId: 301877
dashedName: problem-233-lattice-points-on-a-circle
---

# --description--

Let f(N) be the number of points with integer coordinates that are on a circle passing through (0,0), (N,0),(0,N), and (N,N).

It can be shown that f(10000) = 36.

What is the sum of all positive integers N ≤ 1011 such that f(N) = 420 ?

# --hints--

`euler233()` should return 271204031455541300.

```js
assert.strictEqual(euler233(), 271204031455541300);
```

# --seed--

## --seed-contents--

```js
function euler233() {

  return true;
}

euler233();
```

# --solutions--

```js
// solution required
```