---
id: 5900f5311000cf542c510043
title: 'Problem 452: Long Products'
challengeType: 5
forumTopicId: 302125
dashedName: problem-452-long-products
---

# --description--

Define F(m,n) as the number of n-tuples of positive integers for which the product of the elements doesn't exceed m.

F(10, 10) = 571.

F(106, 106) mod 1 234 567 891 = 252903833.

Find F(109, 109) mod 1 234 567 891.

# --hints--

`euler452()` should return 345558983.

```js
assert.strictEqual(euler452(), 345558983);
```

# --seed--

## --seed-contents--

```js
function euler452() {

  return true;
}

euler452();
```

# --solutions--

```js
// solution required
```
