data/problems/63.yml
---
:id: 63
:name: Powerful digit counts
:url: https://projecteuler.net/problem=63
:content: |+
The 5-digit number, 16807=7<sup>5</sup>, is also a fifth power. Similarly, the 9-digit number, 134217728=8<sup>9</sup>, is a ninth power.
How many _n_-digit positive integers exist which are also an _n_th power?