---
id: 5900f4771000cf542c50ff89
challengeType: 5
title: 'Problem 266: Pseudo Square Root'
forumTopicId: 301915
---

## Description
<section id='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.
</section>

## Instructions
<section id='instructions'>

</section>

## Tests
<section id='tests'>

```yml
tests:
  - text: <code>euler266()</code> should return 1096883702440585.
    testString: assert.strictEqual(euler266(), 1096883702440585);

```

</section>

## Challenge Seed
<section id='challengeSeed'>

<div id='js-seed'>

```js
function euler266() {
  // Good luck!
  return true;
}

euler266();
```

</div>



</section>

## Solution
<section id='solution'>

```js
// solution required
```

</section>