Digit fifth powers

问题30讨论了仅有的三个能表示为其数字四次方之和的数字,并提供了这些数字的总和。现在要找到所有能表示为数字五次方之和的数的总和,计算范围限制在9^5 * 6到9^5 * 7之间。

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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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