problem-030.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.

### Solution

# 6*9^5 = 354294 which will set the upper limit

sumFifthPowers = 0

for i in range(2, 354295):
    total = 0
    for j in str(i):
        total += int(j) ** 5
    if total == i:
        sumFifthPowers += i

print("The sum of fifth power numbers is: " + str(sumFifthPowers))