---
id: 5900f3d51000cf542c50fee6
title: 'Problem 104: Pandigital Fibonacci ends'
challengeType: 5
forumTopicId: 301728
dashedName: problem-104-pandigital-fibonacci-ends
---

# --description--

The Fibonacci sequence is defined by the recurrence relation:

$F_n = F_{n − 1} + F_{n − 2}$, where $F_1 = 1$ and $F_2 = 1$

It turns out that $F_{541}$, which contains 113 digits, is the first Fibonacci number for which the last nine digits are 1 - 9 pandigital (contain all the digits 1 to 9, but not necessarily in order). And $F_{2749}$, which contains 575 digits, is the first Fibonacci number for which the first nine digits are 1 - 9 pandigital.

Given that $F_k$ is the first Fibonacci number for which the first nine digits AND the last nine digits are 1 - 9 pandigital, find `k`.

# --hints--

`pandigitalFibonacciEnds()` should return `329468`.

```js
assert.strictEqual(pandigitalFibonacciEnds(), 329468);
```

# --seed--

## --seed-contents--

```js
function pandigitalFibonacciEnds() {

  return true;
}

pandigitalFibonacciEnds();
```

# --solutions--

```js
// solution required
```