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Digit fifth powers

2016-04-10 11:11 92 查看
https://projecteuler.net/problem=30

Digit fifth powers

Problem 30

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.

因为9^5 * 6 = 354294 远小于 999999,而9 ^5 * 7 = 413343 < 1000000,因此只要计算到354294即可。

def digitFifthPowers():
result = 0
for i in range(2,354295):
tmp = 0
for j in str(i):
tmp += int(j) ** 5
if tmp == i:
result += i
return result

print(digitFifthPowers())
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