---
id: 5900f4671000cf542c50ff7a
challengeType: 5
title: 'Problem 251: Cardano Triplets'
---
## 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.
## Instructions
## Tests
```yml
tests:
- text: euler251() should return 18946051.
testString: assert.strictEqual(euler251(), 18946051, 'euler251() should return 18946051.');
```
## Challenge Seed
```js
function euler251() {
// Good luck!
return true;
}
euler251();
```