Surprisingly there are only three numbers that can be written as the sum of fourth powers of their digits: \begin{align} 1634 &= 1^4 + 6^4 + 3^4 + 4^4\\ 8208 &= 8^4 + 2^4 + 0^4 + 8^4\\ 9474 &= 9^4 + 4^4 + 7^4 + 4^4 \end{align}
As
The sum of these numbers is
Find the sum of all the numbers that can be written as the sum of fifth powers of their digits.
Published: | Friday, 8th November 2002, 01:00 pm |
Difficulty rating: | 5% |
Overview (PDF): | problem 30 |
Forum problem: | problem 30 |