---
id: 5900f4671000cf542c50ff7a
challengeType: 5
title: 'Problem 251: Cardano Triplets'
forumTopicId: 301899
---

## Description
<section id='description'>
A triplet of positive integers (a,b,c) is called a Cardano Triplet if it satisfies the condition:



For example, (2,1,5) is a Cardano Triplet.


There exist 149 Cardano Triplets for which a+b+c ≤ 1000.


Find how many Cardano Triplets exist such that a+b+c ≤ 110,000,000.
</section>

## Instructions
<section id='instructions'>

</section>

## Tests
<section id='tests'>

```yml
tests:
  - text: <code>euler251()</code> should return 18946051.
    testString: assert.strictEqual(euler251(), 18946051);

```

</section>

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

<div id='js-seed'>

```js
function euler251() {
  // Good luck!
  return true;
}

euler251();
```

</div>



</section>

## Solution
<section id='solution'>

```js
// solution required
```

</section>