---
id: 5900f47d1000cf542c50ff8f
title: 'Problem 272: Modular Cubes, part 2'
challengeType: 5
forumTopicId: 301922
dashedName: problem-272-modular-cubes-part-2
---

# --description--

For a positive number n, define C(n) as the number of the integers x, for which 1

When n=91, there are 8 possible values for x, namely : 9, 16, 22, 29, 53, 74, 79, 81. Thus, C(91)=8.

Find the sum of the positive numbers n≤1011 for which C(n)=242.

# --hints--

`euler272()` should return 8495585919506151000.

```js
assert.strictEqual(euler272(), 8495585919506151000);
```

# --seed--

## --seed-contents--

```js
function euler272() {

  return true;
}

euler272();
```

# --solutions--

```js
// solution required
```