---
id: 5900f4771000cf542c50ff89
title: 'Problem 266: Pseudo Square Root'
challengeType: 5
forumTopicId: 301915
dashedName: problem-266-pseudo-square-root
---

# --description--

The divisors of 12 are: 1,2,3,4,6 and 12.

The largest divisor of 12 that does not exceed the square root of 12 is 3.

We shall call the largest divisor of an integer n that does not exceed the square root of n the pseudo square root (PSR) of n.

It can be seen that PSR(3102)=47.

Let p be the product of the primes below 190. Find PSR(p) mod 1016.

# --hints--

`euler266()` should return 1096883702440585.

```js
assert.strictEqual(euler266(), 1096883702440585);
```

# --seed--

## --seed-contents--

```js
function euler266() {

  return true;
}

euler266();
```

# --solutions--

```js
// solution required
```