project_euler.problem_030.sol1¶
Problem Statement (Digit Fifth Powers): https://projecteuler.net/problem=30
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.
9^5 = 59049 59049 * 7 = 413343 (which is only 6 digit number) So, numbers greater than 999999 are rejected and also 59049 * 3 = 177147 (which exceeds the criteria of number being 3 digit) So, number > 999 and hence a number between 1000 and 1000000
Attributes¶
Functions¶
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Module Contents¶
- project_euler.problem_030.sol1.digits_fifth_powers_sum(number: int) int¶
>>> digits_fifth_powers_sum(1234) 1300
- project_euler.problem_030.sol1.solution() int¶
- project_euler.problem_030.sol1.DIGITS_FIFTH_POWER¶