Cubes of digit

Number Theory Level 3

Find the sum of the all possible values of $\overline{abc}$ , where the equation below is true. $\overline{abc}=a^3+b^3+c^3$

Note: $a, b, c$ are non-negative single digits. The $\overline{abc}$ is a three-digit integer.

The answer is 1301.

1 solution

Jesse Nieminen
Aug 9, 2017

sum = 0
for a in range(1, 10):
    for b in range(10):
        for c in range(10):
            abc = 100 * a + 10 * b + c
            if abc == a ** 3 + b ** 3 + c ** 3:
                sum += abc
print(sum)

Cubes of digit

The answer is 1301.

1 solution

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