---
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 $PSR(p)\bmod {10}^{16}$.

# --hints--

`pseudoSquareRoot()` should return `1096883702440585`.

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

# --seed--

## --seed-contents--

```js
function pseudoSquareRoot() {

  return true;
}

pseudoSquareRoot();
```

# --solutions--

```js
// solution required
```