## 1000-digit Fibonacci number

### Problem 25

Published on Friday, 30th August 2002, 06:00 pm; Solved by 69365

The Fibonacci sequence is defined by the recurrence relation:

> Fn = Fn1 + Fn2, where F1 = 1 and F2 = 1.

Hence the first 12 terms will be:

> F1 = 1
> F2 = 1
> F3 = 2
> F4 = 3
> F5 = 5
> F6 = 8
> F7 = 13
> F8 = 21
> F9 = 34
> F10 = 55
> F11 = 89
> F12 = 144

The 12th term, F12, is the first term to contain three digits.

What is the first term in the Fibonacci sequence to contain 1000 digits?