原题链接 http://projecteuler.net/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 = 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.

数字的5次幂

令人惊奇的是只存在3个数可以写成数的每位数字的4次幂的和

1634 = 1⁴ + 6⁴ + 3⁴ + 4⁴
8208 = 8⁴ + 2⁴ + 0⁴ + 8⁴
9474 = 9⁴ + 4⁴ + 7⁴ + 4⁴

这里1 = 1⁴ 不是和所以没有包括进来

这些数字的和为1634 + 8208 + 9474 = 19316.

求所有满足数的每位数字的5次幂等于数本身这个条件的数的和

解法：

没什么好说的。