project-euler-python.py/problem 30 at master · bashareid/project-euler-python.py · GitHub

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

1634 = 14 + 64 + 34 + 44
8208 = 84 + 24 + 04 + 84
9474 = 94 + 44 + 74 + 44
As 1 = 14 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.
"""
total = 0
for a in  range(10):
  for b in  range(10):
    for c in range(10):
      for d in range(10):
        for e in  range(10):
          for f in  range(10):
            number = a * 100000 + b * 10000 + c * 1000 + d  * 100 + e  * 10 + f
            sum_of_pow = pow(a,5)  + pow(b,5)  + pow(c,5) + pow(d,5) + pow(e,5) + pow(f,5)
            if number == sum_of_pow:
               total += number
print(total -1)