problem_30.py

"""Problem 30: Digit fifth powers

Surprisingly there are only three numbers that
can be written as the sum of fourth powers of their digits:

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

As 1 = 1^4 is not a sum it is not included.

The sum of these numbers is 1634 + 8208 + 9474 = 19316.

Find the sum of all the numbers that can be written
as the sum of fifth powers of their digits.
"""

import numpy as np


nums = []
for i in range(2, 1000000):
    if i == sum(np.array(list(map(int, str(i))))**5):
        nums.append(i)

print(sum(nums))